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OpenSim::Millard2012EquilibriumMuscle Class Reference

This class implements a 2 state (activation and fiber length) equilibrium muscle model that uses a unilateral constraint to ensure that the singularity conditions typical of equilibrium models (when $\mathbf{a}(t) \rightarrow 0$, $\phi \rightarrow 90^\circ$, and $ \mathbf{f}_L(\hat{l}_{CE}) \rightarrow 0 $) are prevented. More...

#include <Millard2012EquilibriumMuscle.h>

Inheritance diagram for OpenSim::Millard2012EquilibriumMuscle:
OpenSim::Muscle OpenSim::PathActuator OpenSim::Actuator OpenSim::Actuator_ OpenSim::Force OpenSim::ModelComponent OpenSim::Object

Public Member Functions

 Millard2012EquilibriumMuscle ()
 Default constructor: produces a non-functional empty muscle.
 Millard2012EquilibriumMuscle (const std::string &aName, double aMaxIsometricForce, double aOptimalFiberLength, double aTendonSlackLength, double aPennationAngle)
 Constructs a functional muscle using all of the default curves and activation model.
double getTendonForceMultiplier (SimTK::State &s) const
const
MuscleFirstOrderActivationDynamicModel
getActivationModel () const
const
MuscleFixedWidthPennationModel
getPennationModel () const
const ActiveForceLengthCurvegetActiveForceLengthCurve () const
const ForceVelocityInverseCurvegetForceVelocityInverseCurve () const
const FiberForceLengthCurvegetFiberForceLengthCurve () const
const TendonForceLengthCurvegetTendonForceLengthCurve () const
double getFiberStiffnessAlongTendon (const SimTK::State &s) const
double getMinimumFiberLength () const
double getMinimumFiberLengthAlongTendon () const
double getMinimumActivation () const
double getMaximumPennationAngle () const
void setActivationModel (MuscleFirstOrderActivationDynamicModel &aActivationMdl)
bool setMinimumActivation (double minActivation)
void setActiveForceLengthCurve (ActiveForceLengthCurve &aActiveForceLengthCurve)
void setForceVelocityInverseCurve (ForceVelocityInverseCurve &aForceVelocityInverseCurve)
void setFiberForceLengthCurve (FiberForceLengthCurve &aFiberForceLengthCurve)
void setTendonForceLengthCurve (TendonForceLengthCurve &aTendonForceLengthCurve)
bool setMaximumPennationAngle (double maxPennationAngle)
double getDefaultActivation () const
double getDefaultFiberLength () const
double getActivationRate (const SimTK::State &s) const
double getFiberVelocity (const SimTK::State &s) const
void setDefaultActivation (double activation)
void setDefaultFiberLength (double fiberLength)
void setActivation (SimTK::State &s, double activation) const
void setFiberLength (SimTK::State &s, double fiberLength) const
Array< std::string > getStateVariableNames () const final
SimTK::SystemYIndex getStateVariableSystemIndex (const std::string &stateVariableName) const final
double computeActuation (const SimTK::State &s) const final
void computeInitialFiberEquilibrium (SimTK::State &s) const override
 This function computes the fiber length such that muscle fiber and tendon are developing the same force, and so that the velocity of the entire muscle-tendon is spread between the fiber and the tendon according to their relative compliances.
Property declarations

These are the serializable properties associated with this class.

 OpenSim_DECLARE_PROPERTY (default_activation, double,"assumed initial activation level if none is assigned.")
 OpenSim_DECLARE_PROPERTY (default_fiber_length, double,"assumed initial fiber length if none is assigned.")
 OpenSim_DECLARE_UNNAMED_PROPERTY (MuscleFirstOrderActivationDynamicModel,"activation dynamics model with a lower bound")
 OpenSim_DECLARE_UNNAMED_PROPERTY (ActiveForceLengthCurve,"active force length curve")
 OpenSim_DECLARE_UNNAMED_PROPERTY (ForceVelocityInverseCurve,"force velocity inverse curve")
 OpenSim_DECLARE_UNNAMED_PROPERTY (FiberForceLengthCurve,"fiber force length curve")
 OpenSim_DECLARE_UNNAMED_PROPERTY (TendonForceLengthCurve,"Tendon force length curve")
- Public Member Functions inherited from OpenSim::Muscle
 OpenSim_DECLARE_PROPERTY (max_isometric_force, double,"Maximum isometric force that the fibers can generate")
 OpenSim_DECLARE_PROPERTY (optimal_fiber_length, double,"Optimal length of the muscle fibers")
 OpenSim_DECLARE_PROPERTY (tendon_slack_length, double,"Resting length of the tendon")
 OpenSim_DECLARE_PROPERTY (pennation_angle_at_optimal, double,"Angle between tendon and fibers at optimal fiber length expressed in radians")
 OpenSim_DECLARE_PROPERTY (max_contraction_velocity, double,"Maximum contraction velocity of the fibers, in optimal fiberlengths/second")
 OpenSim_DECLARE_PROPERTY (ignore_tendon_compliance, bool,"Compute muscle dynamics ignoring tendon compliance. Tendon is assumed to be rigid.")
 OpenSim_DECLARE_PROPERTY (ignore_activation_dynamics, bool,"Compute muscle dynamics ignoring activation dynamics. Activation is equivalent to excitation.")
 Muscle ()
 Default constructor.
double getMaxIsometricForce () const
 get/set the maximum isometric force (in N) that the fibers can generate
void setMaxIsometricForce (double maxIsometricForce)
double getOptimalFiberLength () const
 get/set the optimal length (in m) of the muscle fibers (lumped as a single fiber)
void setOptimalFiberLength (double optimalFiberLength)
double getTendonSlackLength () const
 get/set the resting (slack) length (in m) of the tendon that is in series with the muscle fiber
void setTendonSlackLength (double tendonSlackLength)
double getPennationAngleAtOptimalFiberLength () const
 get/set the angle (in radians) between fibers at their optimal fiber length and the tendon
void setPennationAngleAtOptimalFiberLength (double pennationAngle)
double getMaxContractionVelocity () const
 get/set the maximum contraction velocity of the fibers, in optimal fiber-lengths per second
void setMaxContractionVelocity (double maxContractionVelocity)
bool getIgnoreTendonCompliance (const SimTK::State &s) const
 
Get/set Modeling (runtime) option to ignore tendon compliance when 

computing muscle dynamics.

void setIgnoreTendonCompliance (SimTK::State &s, bool ignore) const
bool getIgnoreActivationDynamics (const SimTK::State &s) const
 
Get/set Modeling (runtime) option to ignore activation dynamics when 

computing muscle dynamics.

void setIgnoreActivationDynamics (SimTK::State &s, bool ignore) const
virtual double getActivation (const SimTK::State &s) const
 get the activation level of the muscle, which modulates the active force of the muscle and has a normalized (0 to 1) value TODO: virtual to allow override by deprecated muscles.
double getFiberLength (const SimTK::State &s) const
 get the current working fiber length (m) for the muscle
double getPennationAngle (const SimTK::State &s) const
 get the current pennation angle (radians) between the fiber and tendon at the current fiber length
double getTendonLength (const SimTK::State &s) const
 get the current tendon length (m) given the current joint angles and fiber length
double getNormalizedFiberLength (const SimTK::State &s) const
 get the current normalized fiber length (fiber_length/optimal_fiber_length)
double getFiberLengthAlongTendon (const SimTK::State &s) const
 get the current fiber length (m) projected (*cos(pennationAngle)) onto the tendon direction
double getTendonStrain (const SimTK::State &s) const
 get the current tendon strain (delta_l/tendon_slack_length is dimensionless)
double getFiberPotentialEnergy (const SimTK::State &s) const
 the potential energy (J) stored in the fiber due to its parallel elastic element
double getTendonPotentialEnergy (const SimTK::State &s) const
 the potential energy (J) stored in the tendon
double getMusclePotentialEnergy (const SimTK::State &s) const
 the total potential energy (J) stored in the muscle
double getPassiveForceMultiplier (const SimTK::State &s) const
 get the passive fiber (parallel elastic element) force multiplier
double getActiveForceLengthMultiplier (const SimTK::State &s) const
 get the active fiber (contractile element) force multiplier due to current fiber length
double getNormalizedFiberVelocity (const SimTK::State &s) const
 get normalize fiber velocity (fiber_lengths/s / max_contraction_velocity)
double getFiberVelocityAlongTendon (const SimTK::State &s) const
 get the current afiber velocity (m/s) projected onto the tendon direction
double getPennationAngularVelocity (const SimTK::State &s) const
 get pennation angular velocity (radians/s)
double getTendonVelocity (const SimTK::State &s) const
 get the tendon velocity (m/s) positive is lengthening
double getForceVelocityMultiplier (const SimTK::State &s) const
 get the dimensionless multiplier resulting from the fiber's force-velocity curve
double getFiberForce (const SimTK::State &s) const
 get the current fiber force (N) applied to the tendon
double getActiveFiberForce (const SimTK::State &s) const
 get the current active fiber force (N) due to activation*force_length*force_velocity relationships
double getPassiveFiberForce (const SimTK::State &s) const
 get the current passive fiber force (N) passive_force_length relationship
double getActiveFiberForceAlongTendon (const SimTK::State &s) const
 get the current active fiber force (N) projected onto the tendon direction
double getPassiveFiberForceAlongTendon (const SimTK::State &s) const
 get the current passive fiber force (N) projected onto the tendon direction
double getTendonForce (const SimTK::State &s) const
 get the current tendon force (N) applied to bones
double getFiberStiffness (const SimTK::State &s) const
 get the current fiber stiffness (N/m) defined as the partial derivative of fiber force w.r.t.
double getTendonStiffness (const SimTK::State &s) const
 get the current tendon stiffness (N/m) defined as the partial derivative of tendon force w.r.t.
double getMuscleStiffness (const SimTK::State &s) const
 get the current muscle stiffness (N/m) defined as the partial derivative of muscle force w.r.t.
double getFiberActivePower (const SimTK::State &s) const
 get the current active fiber power (W)
double getFiberPassivePower (const SimTK::State &s) const
 get the current passive fiber power (W)
double getTendonPower (const SimTK::State &s) const
 get the current tendon power (W)
double getMusclePower (const SimTK::State &s) const
 get the current muscle power (W)
double getStress (const SimTK::State &s) const
 get the stress in the muscle (part of the Actuator interface as well)
void setExcitation (SimTK::State &s, double excitation) const
 set the excitation (control) for this muscle.
double getExcitation (const SimTK::State &s) const
void equilibrate (SimTK::State &s) const
 Find and set the equilibrium state of the muscle (if any)
- Public Member Functions inherited from OpenSim::PathActuator
 PathActuator ()
GeometryPathupdGeometryPath ()
const GeometryPathgetGeometryPath () const
virtual bool hasGeometryPath () const
 Return a flag indicating whether the Force is applied along a Path.
void setOptimalForce (double aOptimalForce)
double getOptimalForce () const
virtual double getLength (const SimTK::State &s) const
virtual double getLengtheningSpeed (const SimTK::State &s) const
virtual double getPower (const SimTK::State &s) const
void addNewPathPoint (const std::string &proposedName, OpenSim::Body &aBody, const SimTK::Vec3 &aPositionOnBody)
 Note that this function does not maintain the State and so should be used only before a valid State is created.
virtual double computeMomentArm (SimTK::State &s, Coordinate &aCoord) const
virtual void updateFromXMLNode (SimTK::Xml::Element &aNode, int versionNumber=-1)
 Use this method to deserialize an object from a SimTK::Xml::Element.
virtual void preScale (const SimTK::State &s, const ScaleSet &aScaleSet)
virtual void scale (const SimTK::State &s, const ScaleSet &aScaleSet)
virtual VisibleObjectgetDisplayer () const
 Methods to support making the object displayable in the GUI or Visualizer Implemented only in few objects.
virtual void updateDisplayer (const SimTK::State &s)
 In case the ModelComponent has a visual representation (VisualObject), override this method to update it.
 OpenSim_DECLARE_UNNAMED_PROPERTY (GeometryPath,"The set of points defining the path of the muscle.")
 OpenSim_DECLARE_PROPERTY (optimal_force, double,"The maximum force this actuator can produce.")
- Public Member Functions inherited from OpenSim::Actuator
 Actuator ()
virtual double getControl (const SimTK::State &s) const
 Convenience method to set controls given scalar (double) valued control.
virtual int numControls () const
virtual void setForce (const SimTK::State &s, double aForce) const
virtual double getForce (const SimTK::State &s) const
virtual void setSpeed (const SimTK::State &s, double aspeed) const
virtual double getSpeed (const SimTK::State &s) const
void setMinControl (const double &aMinControl)
double getMinControl () const
void setMaxControl (const double &aMaxControl)
double getMaxControl () const
void overrideForce (SimTK::State &s, bool flag) const
 

Overriding forces

The force normally produced by an Actuator can be overriden and When the Actuator's force is overriden, the Actuator will by defualt produce a constant force which can be set with setOverrideForce().
bool isForceOverriden (const SimTK::State &s) const
 return Actuator's override status
void setOverrideForce (SimTK::State &s, double value) const
 set the force value used when the override is true
double getOverrideForce (const SimTK::State &s) const
 return override force
 OpenSim_DECLARE_PROPERTY (min_control, double,"Minimum allowed value for control signal. Used primarily when solving ""for control values.")
 Default is -Infinity (no limit).
 OpenSim_DECLARE_PROPERTY (max_control, double,"Maximum allowed value for control signal. Used primarily when solving ""for control values.")
 Default is Infinity (no limit).
- Public Member Functions inherited from OpenSim::Actuator_
 Actuator_ ()
virtual const SimTK::Vector getDefaultControls ()
 Actuator default controls are zero.
virtual const
SimTK::VectorView_< double > 
getControls (const SimTK::State &s) const
virtual void getControls (const SimTK::Vector &modelControls, SimTK::Vector &actuatorControls) const
 Convenience methods for getting, setting and adding to actuator controls from/into the model controls.
virtual void setControls (const SimTK::Vector &actuatorControls, SimTK::Vector &modelControls) const
 set actuator controls subvector into the right slot in the system-wide model controls
virtual void addInControls (const SimTK::Vector &actuatorControls, SimTK::Vector &modelControls) const
 add actuator controls to the values already occupying the slot in the system-wide model controls
virtual void computeEquilibrium (SimTK::State &s) const
- Public Member Functions inherited from OpenSim::Force
 Force (const Force &aForce)
 
 Implements a copy constructor just so it can invalidate the 

SimTK::Force index after copying.

Forceoperator= (const Force &aForce)
 
Implements a copy assignment operator just so it can invalidate the 

SimTK::Force index after the assignment.

bool isDisabled (const SimTK::State &s) const
 Return if the Force is disabled or not.
void setDisabled (SimTK::State &s, bool disabled)
 Set the Force as disabled (true) or not (false).
 OpenSim_DECLARE_PROPERTY (isDisabled, bool,"Flag indicating whether the force is disabled or not. Disabled means"" that the force is not active in subsequent dynamics realizations.")
 A Force element is active (enabled) by default.
- Public Member Functions inherited from OpenSim::ModelComponent
 ModelComponent ()
 Default constructor.
 ModelComponent (const std::string &aFileName, bool aUpdateFromXMLNode=true) SWIG_DECLARE_EXCEPTION
 Construct ModelComponent from an XML file.
 ModelComponent (SimTK::Xml::Element &aNode)
 Construct ModelComponent from a specific node in an XML document.
 ModelComponent (const ModelComponent &source)
 
Construct ModelComponent with its contents copied from another 

ModelComponent; this is a deep copy so nothing is shared with the source after the copy.

virtual ~ModelComponent ()
 Destructor is virtual to allow concrete model component cleanup.
ModelComponentoperator= (const ModelComponent &aModelComponent)
 Assignment operator to copy contents of an existing component.
const ModelgetModel () const
 Get a const reference to the Model this component is part of.
ModelupdModel ()
 Get a modifiable reference to the Model this component is part of.
virtual int getNumStateVariables () const
 Get the number of "Continuous" state variables maintained by the ModelComponent and its specified subcomponents.
int getModelingOption (const SimTK::State &state, const std::string &name) const
 Get a ModelingOption flag for this ModelComponent by name.
void setModelingOption (SimTK::State &state, const std::string &name, int flag) const
 Set the value of a ModelingOption flag for this ModelComponent.
double getStateVariable (const SimTK::State &state, const std::string &name) const
 Get the value of a state variable allocated by this ModelComponent.
void setStateVariable (SimTK::State &state, const std::string &name, double value) const
 Set the value of a state variable allocated by this ModelComponent by name.
double getDiscreteVariable (const SimTK::State &state, const std::string &name) const
 Get the value of a discrete variable allocated by this ModelComponent by name.
void setDiscreteVariable (SimTK::State &state, const std::string &name, double value) const
 Set the value of a discrete variable allocated by this ModelComponent by name.
template<typename T >
const T & getCacheVariable (const SimTK::State &state, const std::string &name) const
 Get the value of a cache variable allocated by this ModelComponent by name.
template<typename T >
T & updCacheVariable (const SimTK::State &state, const std::string &name) const
 Obtain a writable cache variable value allocated by this ModelComponent by name.
void markCacheVariableValid (const SimTK::State &state, const std::string &name) const
 After updating a cache variable value allocated by this ModelComponent, you can mark its value as valid, which will not change until the realization stage falls below the minimum set at the time the cache variable was created.
void markCacheVariableInvalid (const SimTK::State &state, const std::string &name) const
 Mark a cache variable value allocated by this ModelComponent as invalid.
bool isCacheVariableValid (const SimTK::State &state, const std::string &name) const
 Enables the to monitor the validity of the cache variable value using the returned flag.
template<typename T >
void setCacheVariable (const SimTK::State &state, const std::string &name, T &value) const
 Set cache variable value allocated by this ModelComponent by name.
- Public Member Functions inherited from OpenSim::Object
virtual ~Object ()
 Virtual destructor for cleanup.
virtual Objectclone () const =0
 
Create a new heap-allocated copy of the concrete object to which this 

Object refers.

virtual const std::string & getConcreteClassName () const =0
 
Returns the class name of the concrete %Object-derived class of the

actual object referenced by this Object, as a string.

virtual VisibleObjectupdDisplayer ()
 get Non const pointer to VisibleObject
bool isEqualTo (const Object &aObject) const
 Equality operator wrapper for use from languages not supporting operator overloading.
Objectoperator= (const Object &aObject)
 
Copy assignment copies he base class fields, including the 

properties.

virtual bool operator== (const Object &aObject) const
 Determine if two objects are equal.
virtual bool operator< (const Object &aObject) const
 
Provide an ordering for objects so they can be put in sorted

containers.

void setName (const std::string &name)
 Set the name of the Object.
const std::string & getName () const
 Get the name of this Object.
void setDescription (const std::string &description)
 Set description, a one-liner summary.
const std::string & getDescription () const
 Get description, a one-liner summary.
const std::string & getAuthors () const
 Get Authors of this Object.
void setAuthors (const std::string &authors)
 Set Authors of this object, call this method in your constructor if needed.
const std::string & getReferences () const
 Get references or publications to cite if using this object.
void setReferences (const std::string &references)
 Set references or publications to cite if using this object.
int getNumProperties () const
 Determine how many properties are stored with this Object.
const AbstractPropertygetPropertyByIndex (int propertyIndex) const
 
Get a const reference to a property by its index number, returned as

an AbstractProperty.

AbstractPropertyupdPropertyByIndex (int propertyIndex)
 
Get a writable reference to a property by its index number, returned as

an AbstractProperty.

bool hasProperty (const std::string &name) const
 
Return true if this %Object has a property of any type with the 

given name, which must not be empty.

const AbstractPropertygetPropertyByName (const std::string &name) const
 
Get a const reference to a property by its name, returned as

an AbstractProperty.

AbstractPropertyupdPropertyByName (const std::string &name)
 
Get a writable reference to a property by its name, returned as

an AbstractProperty.

template<class T >
bool hasProperty () const
 
Return true if this %Object contains an unnamed, one-object property

that contains objects of the given template type T.

template<class T >
const Property< T > & getProperty (const PropertyIndex &index) const
 
Get property of known type Property\<T> as a const reference; 

the property must be present and have the right type.

template<class T >
Property< T > & updProperty (const PropertyIndex &index)
 
Get property of known type Property\<T> as a writable reference;

the property must be present and have the right type.

void setObjectIsUpToDateWithProperties ()
 
When an object is initialized using the current values of its 

properties, it can set a flag indicating that it is up to date.

bool isObjectUpToDateWithProperties () const
 
Returns \c true if any property's value has changed since the last time

setObjectIsUpToDateWithProperties() was called.

void readObjectFromXMLNodeOrFile (SimTK::Xml::Element &objectElement, int versionNumber)
 We're given an XML element from which we are to populate this Object.
virtual void updateXMLNode (SimTK::Xml::Element &parent)
 Serialize this object into the XML node that represents it.
bool getInlined () const
 
Inlined means an in-memory Object that is not associated with

an XMLDocument.

void setInlined (bool aInlined, const std::string &aFileName="")
 
Mark this as inlined or not and optionally provide a file name

to associate with the new XMLDocument for the non-inline case.

std::string getDocumentFileName () const
 
If there is a document associated with this object then return the

file name maintained by the document.

void setAllPropertiesUseDefault (bool aUseDefault)
bool print (const std::string &fileName)
 
Write this %Object into an XML file of the given name; conventionally

the suffix to use is ".osim".

std::string dump (bool dumpName=false)
 dump the XML representation of this Object into an std::string and return it.
void clearObjectIsUpToDateWithProperties ()
 
For testing or debugging purposes, manually clear the "object is up to 

date with respect to properties" flag.

virtual bool isA (const char *type) const
 
The default implementation returns true only if the supplied string

is "Object"; each Object-derived class overrides this to match its own class name.

const std::string & toString () const
 
Wrapper to be used on Java side to display objects in tree; this returns

just the object's name.

PropertySetgetPropertySet ()
 
OBSOLETE: Get a reference to the PropertySet maintained by the 

Object.

const PropertySetgetPropertySet () const

Protected Member Functions

void postScale (const SimTK::State &s, const ScaleSet &aScaleSet)
 Courtesy of Ajay.
double calcActivationRate (const SimTK::State &s) const
 Calculate activation rate.
void calcMuscleLengthInfo (const SimTK::State &s, MuscleLengthInfo &mli) const final
 calculate muscle's position related values such fiber and tendon lengths, normalized lengths, pennation angle, etc...
virtual void calcFiberVelocityInfo (const SimTK::State &s, FiberVelocityInfo &fvi) const final
 calculate muscle's velocity related values such fiber and tendon velocities,normalized velocities, pennation angular velocity, etc...
virtual void calcMuscleDynamicsInfo (const SimTK::State &s, MuscleDynamicsInfo &mdi) const final
 calculate muscle's active and passive force-length, force-velocity, tendon force, relationships and their related values
void connectToModel (Model &model) override
 Sets up the ModelComponent from the model, if necessary.
void addToSystem (SimTK::MultibodySystem &system) const override
 Creates the ModelComponent so that it can be used in simulation.
void initStateFromProperties (SimTK::State &s) const override
 Initializes the state of the ModelComponent.
void setPropertiesFromState (const SimTK::State &s) override
 Sets the default state for ModelComponent.
SimTK::Vector computeStateVariableDerivatives (const SimTK::State &s) const override
 computes state variable derivatives
void setStateVariableDeriv (const SimTK::State &s, const std::string &aStateName, double aValue) const
 Set the derivative of an actuator state, specified by name.
double getStateVariableDeriv (const SimTK::State &s, const std::string &aStateName) const
 Get the derivative of an actuator state, by index.
- Protected Member Functions inherited from OpenSim::Muscle
const MuscleLengthInfogetMuscleLengthInfo (const SimTK::State &s) const
 Developer Access to intermediate values calculate by the muscle model.
MuscleLengthInfoupdMuscleLengthInfo (const SimTK::State &s) const
const FiberVelocityInfogetFiberVelocityInfo (const SimTK::State &s) const
FiberVelocityInfoupdFiberVelocityInfo (const SimTK::State &s) const
const MuscleDynamicsInfogetMuscleDynamicsInfo (const SimTK::State &s) const
MuscleDynamicsInfoupdMuscleDynamicsInfo (const SimTK::State &s) const
virtual void computeForce (const SimTK::State &state, SimTK::Vector_< SimTK::SpatialVec > &bodyForces, SimTK::Vector &generalizedForce) const
 Force interface applies tension to bodies, and Muscle also checks that applied muscle tension is not negative.
virtual double computePotentialEnergy (const SimTK::State &state) const
 Potential energy stored by the muscle.
virtual void updateGeometry (const SimTK::State &s)

Additional Inherited Members

- Static Public Member Functions inherited from OpenSim::Object
static void registerType (const Object &defaultObject)
 
Register an instance of a class; if the class is already registered it

will be replaced.

static void renameType (const std::string &oldTypeName, const std::string &newTypeName)
 
Support versioning by associating the current %Object type with an 

old name.

static const ObjectgetDefaultInstanceOfType (const std::string &concreteClassName)
 
Return a pointer to the default instance of the registered (concrete)

Object whose class name is given, or NULL if the type is not registered.

template<class T >
static bool isObjectTypeDerivedFrom (const std::string &concreteClassName)
 
Return true if the given concrete object type represents a subclass of 

the template object type T, and thus could be referenced with a T*.

static ObjectnewInstanceOfType (const std::string &concreteClassName)
 
Create a new instance of the concrete %Object type whose class name is 

given as concreteClassName.

static void getRegisteredTypenames (Array< std::string > &typeNames)
 Retrieve all the typenames registered so far.
template<class T >
static void getRegisteredObjectsOfGivenType (ArrayPtrs< T > &rArray)
 
Return an array of pointers to the default instances of all registered

(concrete) Object types that derive from a given Object-derived type that does not have to be concrete.

static void PrintPropertyInfo (std::ostream &os, const std::string &classNameDotPropertyName)
 
Dump formatted property information to a given output stream, useful

for creating a "help" facility for registered objects.

static void PrintPropertyInfo (std::ostream &os, const std::string &className, const std::string &propertyName)
 
Same as the other signature but the class name and property name are

provided as two separate strings.

static ObjectmakeObjectFromFile (const std::string &fileName)
 
Create an %OpenSim object whose type is based on the tag at the root 

node of the XML file passed in.

static const std::string & getClassName ()
 Return the name of this class as a string; i.e., "Object".
static void setSerializeAllDefaults (bool shouldSerializeDefaults)
 
Static function to control whether all registered objects and

their properties are written to the defaults section of output files rather than only those values for which the default was explicitly overwritten when read in from an input file or set programmatically.

static bool getSerializeAllDefaults ()
 Report the value of the "serialize all defaults" flag.
static bool isKindOf (const char *type)
 
Returns true if the passed-in string is "Object"; each %Object-derived

class defines a method of this name for its own class name.

static void setDebugLevel (int newLevel)
 Set the debug level to get verbose output.
static int getDebugLevel ()
 Get current setting of debug level.
static ObjectSafeCopy (const Object *aObject)
 
Use the clone() method to duplicate the given object unless the pointer

is null in which case null is returned.

static void RegisterType (const Object &defaultObject)
 OBSOLETE alternate name for registerType().
static void RenameType (const std::string &oldName, const std::string &newName)
 OBSOLETE alternate name for renameType().
- Static Public Attributes inherited from OpenSim::Object
static const std::string DEFAULT_NAME
 Name used for default objects when they are serialized.
- Protected Attributes inherited from OpenSim::Muscle
double _muscleWidth
 The assumed fixed muscle-width from which the fiber pennation angle is calculated.
double _maxIsometricForce
 to support deprecated muscles
double _optimalFiberLength
double _pennationAngleAtOptimal
double _tendonSlackLength

Detailed Description

This class implements a 2 state (activation and fiber length) equilibrium muscle model that uses a unilateral constraint to ensure that the singularity conditions typical of equilibrium models (when $\mathbf{a}(t) \rightarrow 0$, $\phi \rightarrow 90^\circ$, and $ \mathbf{f}_L(\hat{l}_{CE}) \rightarrow 0 $) are prevented.

fig_Millard2012EquilibriumMuscle.png

Physically these modifications mean that this muscle model is always activated ( $\mathbf{a}(t) > 0$), the fiber will stop contracting when a pennation angle of 90 degrees is approached ( $\phi < 90^\circ$), and the fiber will also stop contracting as its length approaches a lower bound ( $ \hat{l}_{CE} > lowerbound$), typically around half the fiber's resting length ( to ensure $ \mathbf{f}_L(\hat{l}_{CE}) > 0 $). The fiber length is prevented from achieving either an unphysiological length, or its maximum pennation angle, through the use of a unilateral constraint.

As is typical of an equilibrium model, the force generated by the tendon and the force generated by the fiber are assumed to be equal and opposite:

\[ f_{ISO}\Big(\mathbf{a}(t) \mathbf{f}_L(\hat{l}_{CE}) \mathbf{f}_V(\hat{v}_{CE}) + \mathbf{f}_{PE}(\hat{l}_{CE}) )\Big) \cos \phi - f_{ISO}\mathbf{f}_{SE}(\hat{l}_{T}) = 0 \]

As with any other equilibrium model, the above equation is rearranged to isolate for $ \mathbf{f}_V(\hat{v}_{CE}) $, which is inverted to solve for $ \hat{v}_{CE} $, and then is numerically integrated during simulation:

\[ \hat{v}_{CE} = \mathbf{f}_V ^{-1} ( \frac{ ( \mathbf{f}_{SE}(\hat{l}_{T}) ) / \cos \phi - \mathbf{f}_{PE}(\hat{l}_{CE}) } { \mathbf{a}(t) \mathbf{f}_L(\hat{l}_{CE})} ) \]

As with any equilibrium muscle model, the numerical stiffness of the above equation increases when terms in the denominator approach zero (when $\mathbf{a}(t) \rightarrow 0$, $\phi \rightarrow 90^\circ$, or $ \mathbf{f}_L(\hat{l}_{CE}) \rightarrow 0 $) or additionally when the slope of $\mathbf{f}_V ^{-1}$ is steep (which occurs at fiber velocities close to the maximum concentric and maximum eccentric fiber velocities).

For more information please see the doxygen for the properties that are objects themselves ( such as MuscleFirstOrderActivationDynamicModel, MuscleFixedWidthPennationModel).

Author
Matt Millard

Constructor & Destructor Documentation

OpenSim::Millard2012EquilibriumMuscle::Millard2012EquilibriumMuscle ( )

Default constructor: produces a non-functional empty muscle.

OpenSim::Millard2012EquilibriumMuscle::Millard2012EquilibriumMuscle ( const std::string &  aName,
double  aMaxIsometricForce,
double  aOptimalFiberLength,
double  aTendonSlackLength,
double  aPennationAngle 
)

Constructs a functional muscle using all of the default curves and activation model.

Parameters
aNameThe name of the muscle.
aMaxIsometricForceThe force generated by the muscle when it at its optimal resting length, has a contraction velocity of zero, and is fully activated (Newtons).
aOptimalFiberLengthThe optimal length of the muscle fiber (meters).
aTendonSlackLengthThe resting length of the tendon (meters).
aPennationAngleThe angle of the fiber relative to the tendon when the fiber is at its optimal resting length (radians).

Member Function Documentation

void OpenSim::Millard2012EquilibriumMuscle::addToSystem ( SimTK::MultibodySystem &  system) const
overrideprotectedvirtual

Creates the ModelComponent so that it can be used in simulation.

Reimplemented from OpenSim::Muscle.

double OpenSim::Millard2012EquilibriumMuscle::calcActivationRate ( const SimTK::State &  s) const
protected

Calculate activation rate.

virtual void OpenSim::Millard2012EquilibriumMuscle::calcFiberVelocityInfo ( const SimTK::State &  s,
FiberVelocityInfo fvi 
) const
protectedvirtual

calculate muscle's velocity related values such fiber and tendon velocities,normalized velocities, pennation angular velocity, etc...

Reimplemented from OpenSim::Muscle.

virtual void OpenSim::Millard2012EquilibriumMuscle::calcMuscleDynamicsInfo ( const SimTK::State &  s,
MuscleDynamicsInfo mdi 
) const
protectedvirtual

calculate muscle's active and passive force-length, force-velocity, tendon force, relationships and their related values

Reimplemented from OpenSim::Muscle.

void OpenSim::Millard2012EquilibriumMuscle::calcMuscleLengthInfo ( const SimTK::State &  s,
MuscleLengthInfo mli 
) const
protectedvirtual

calculate muscle's position related values such fiber and tendon lengths, normalized lengths, pennation angle, etc...

Reimplemented from OpenSim::Muscle.

double OpenSim::Millard2012EquilibriumMuscle::computeActuation ( const SimTK::State &  s) const
virtual
Parameters
sthe state of the system
Returns
the tensile force the muscle is generating in N

Implements OpenSim::Muscle.

void OpenSim::Millard2012EquilibriumMuscle::computeInitialFiberEquilibrium ( SimTK::State &  s) const
overridevirtual

This function computes the fiber length such that muscle fiber and tendon are developing the same force, and so that the velocity of the entire muscle-tendon is spread between the fiber and the tendon according to their relative compliances.

Parameters
sthe state of the system

Implements OpenSim::Muscle.

SimTK::Vector OpenSim::Millard2012EquilibriumMuscle::computeStateVariableDerivatives ( const SimTK::State &  s) const
overrideprotectedvirtual

computes state variable derivatives

Reimplemented from OpenSim::ModelComponent.

void OpenSim::Millard2012EquilibriumMuscle::connectToModel ( Model model)
overrideprotectedvirtual

Sets up the ModelComponent from the model, if necessary.

Reimplemented from OpenSim::Muscle.

const MuscleFirstOrderActivationDynamicModel& OpenSim::Millard2012EquilibriumMuscle::getActivationModel ( ) const
Returns
the MuscleFirstOrderActivationDynamicModel that this muscle model uses
double OpenSim::Millard2012EquilibriumMuscle::getActivationRate ( const SimTK::State &  s) const
Parameters
sThe state of the system
Returns
the time derivative of activation
const ActiveForceLengthCurve& OpenSim::Millard2012EquilibriumMuscle::getActiveForceLengthCurve ( ) const
Returns
the ActiveForceLengthCurve that this muscle model uses
double OpenSim::Millard2012EquilibriumMuscle::getDefaultActivation ( ) const
Returns
the default activation level that is used as an initial condition if none is provided by the user.
double OpenSim::Millard2012EquilibriumMuscle::getDefaultFiberLength ( ) const
Returns
the default fiber length that is used as an initial condition if none is provided by the user.
const FiberForceLengthCurve& OpenSim::Millard2012EquilibriumMuscle::getFiberForceLengthCurve ( ) const
Returns
the FiberForceLengthCurve that this muscle model uses
double OpenSim::Millard2012EquilibriumMuscle::getFiberStiffnessAlongTendon ( const SimTK::State &  s) const
Returns
the stiffness of the muscle fibers along the tendon (N/m)
double OpenSim::Millard2012EquilibriumMuscle::getFiberVelocity ( const SimTK::State &  s) const
Parameters
sThe state of the system
Returns
the velocity of the fiber (m/s)

Reimplemented from OpenSim::Muscle.

const ForceVelocityInverseCurve& OpenSim::Millard2012EquilibriumMuscle::getForceVelocityInverseCurve ( ) const
Returns
the ForceVelocityInverseCurve that this muscle model uses
double OpenSim::Millard2012EquilibriumMuscle::getMaximumPennationAngle ( ) const
Returns
the maximum pennation angle allowed by this muscle model. Note that this equilibrium model, like all equilibrium models has a singularity when pennation hits Pi/2.0. This requires that the maximum pennation angle must be less than Pi/2.0.
double OpenSim::Millard2012EquilibriumMuscle::getMinimumActivation ( ) const
Returns
the minimum activation level allowed by the muscle model. Note that this equilibrium model, like all equilibrium models has a singularity when activation goes to 0.0, which means that a non-zero lower bound is required.
double OpenSim::Millard2012EquilibriumMuscle::getMinimumFiberLength ( ) const
Returns
the minimum fiber length, which is the maximum of two values: the smallest fiber length allowed by the pennation model, and the minimum fiber length in the active force length curve. When the fiber length reaches this value, it is constrained to this value until the fiber velocity goes positive.
double OpenSim::Millard2012EquilibriumMuscle::getMinimumFiberLengthAlongTendon ( ) const
Returns
the minimum fiber length along the tendon, which is the maximum of two values: the smallest fiber length along the teond allowed by the pennation model, and the minimum fiber length along the tendon in the active force length curve. When the fiber length reaches this value, it is constrained to this length along the tendon until the fiber velocity goes positive.
const MuscleFixedWidthPennationModel& OpenSim::Millard2012EquilibriumMuscle::getPennationModel ( ) const
Returns
the MuscleFixedWidthPennationModel that this muscle model uses
double OpenSim::Millard2012EquilibriumMuscle::getStateVariableDeriv ( const SimTK::State &  s,
const std::string &  aStateName 
) const
protected

Get the derivative of an actuator state, by index.

Parameters
sthe state
aStateNamethe name of the state to get.
Returns
The value of the state derivative
Array<std::string> OpenSim::Millard2012EquilibriumMuscle::getStateVariableNames ( ) const
virtual
Returns
A string arraw of the state variable names

Reimplemented from OpenSim::ModelComponent.

SimTK::SystemYIndex OpenSim::Millard2012EquilibriumMuscle::getStateVariableSystemIndex ( const std::string &  stateVariableName) const
virtual
Parameters
stateVariableNamethe name of the state varaible in question
Returns
The system index of the state variable in question

Reimplemented from OpenSim::ModelComponent.

const TendonForceLengthCurve& OpenSim::Millard2012EquilibriumMuscle::getTendonForceLengthCurve ( ) const
Returns
the TendonForceLengthCurve that this muscle model uses
double OpenSim::Millard2012EquilibriumMuscle::getTendonForceMultiplier ( SimTK::State &  s) const
Parameters
sthe state of the system
Returns
the normalized force term associated with tendon element, $\mathbf{f}_{SE}(\hat{l}_{T})$, in the equilibrium equation
void OpenSim::Millard2012EquilibriumMuscle::initStateFromProperties ( SimTK::State &  s) const
overrideprotectedvirtual

Initializes the state of the ModelComponent.

Reimplemented from OpenSim::Muscle.

OpenSim::Millard2012EquilibriumMuscle::OpenSim_DECLARE_PROPERTY ( default_activation  ,
double  ,
"assumed initial activation level if none is assigned."   
)
OpenSim::Millard2012EquilibriumMuscle::OpenSim_DECLARE_PROPERTY ( default_fiber_length  ,
double  ,
"assumed initial fiber length if none is assigned."   
)
OpenSim::Millard2012EquilibriumMuscle::OpenSim_DECLARE_UNNAMED_PROPERTY ( MuscleFirstOrderActivationDynamicModel  ,
"activation dynamics model with a lower bound"   
)
OpenSim::Millard2012EquilibriumMuscle::OpenSim_DECLARE_UNNAMED_PROPERTY ( ActiveForceLengthCurve  ,
"active force length curve"   
)
OpenSim::Millard2012EquilibriumMuscle::OpenSim_DECLARE_UNNAMED_PROPERTY ( ForceVelocityInverseCurve  ,
"force velocity inverse curve"   
)
OpenSim::Millard2012EquilibriumMuscle::OpenSim_DECLARE_UNNAMED_PROPERTY ( FiberForceLengthCurve  ,
"fiber force length curve"   
)
OpenSim::Millard2012EquilibriumMuscle::OpenSim_DECLARE_UNNAMED_PROPERTY ( TendonForceLengthCurve  ,
"Tendon force length curve"   
)
void OpenSim::Millard2012EquilibriumMuscle::postScale ( const SimTK::State &  s,
const ScaleSet aScaleSet 
)
protectedvirtual

Courtesy of Ajay.

Reimplemented from OpenSim::PathActuator.

void OpenSim::Millard2012EquilibriumMuscle::setActivation ( SimTK::State &  s,
double  activation 
) const
virtual
Parameters
sthe state of the system
activationthe desired activation level

Implements OpenSim::Muscle.

void OpenSim::Millard2012EquilibriumMuscle::setActivationModel ( MuscleFirstOrderActivationDynamicModel aActivationMdl)
Parameters
aActivationMdlthe MuscleFirstOrderActivationDynamicModel that this muscle model uses to simulate activation dynamics
void OpenSim::Millard2012EquilibriumMuscle::setActiveForceLengthCurve ( ActiveForceLengthCurve aActiveForceLengthCurve)
Parameters
aActiveForceLengthCurvethe ActiveForceLengthCurve that this muscle model uses to scale active fiber force as a function of length
void OpenSim::Millard2012EquilibriumMuscle::setDefaultActivation ( double  activation)
Parameters
activationthe default activation level that is used to initialize the muscle
void OpenSim::Millard2012EquilibriumMuscle::setDefaultFiberLength ( double  fiberLength)
Parameters
fiberLengththe default fiber length that is used to initialize the muscle
void OpenSim::Millard2012EquilibriumMuscle::setFiberForceLengthCurve ( FiberForceLengthCurve aFiberForceLengthCurve)
Parameters
aFiberForceLengthCurvethe FiberForceLengthCurve that this muscle model uses to calculate the passive force the muscle fiber generates as the length of the fiber changes
void OpenSim::Millard2012EquilibriumMuscle::setFiberLength ( SimTK::State &  s,
double  fiberLength 
) const
Parameters
sthe state of the system
fiberLengththe desired fiber length (m)
void OpenSim::Millard2012EquilibriumMuscle::setForceVelocityInverseCurve ( ForceVelocityInverseCurve aForceVelocityInverseCurve)
Parameters
aForceVelocityInverseCurvethe ForceVelocityInverseCurve that this muscle model uses to calculate the derivative of fiber length.
bool OpenSim::Millard2012EquilibriumMuscle::setMaximumPennationAngle ( double  maxPennationAngle)
Parameters
maxPennationAngleis the maximum pennation (radians). This method will set the maximum pennation angle property of the pennation model, and is provided to ensure that the desired maximum pennation angle will not cause a numerical singularity in this model.
Returns
true if the value was acceptable and the property was set
bool OpenSim::Millard2012EquilibriumMuscle::setMinimumActivation ( double  minActivation)
Parameters
minActivationwill set the minimum activation property in the Activation model. This function is provided to ensure that the desired minimum activation will not cause a numerical singularity in this model.
Returns
true if the value was acceptable and the property was set
void OpenSim::Millard2012EquilibriumMuscle::setPropertiesFromState ( const SimTK::State &  s)
overrideprotectedvirtual

Sets the default state for ModelComponent.

Reimplemented from OpenSim::Muscle.

void OpenSim::Millard2012EquilibriumMuscle::setStateVariableDeriv ( const SimTK::State &  s,
const std::string &  aStateName,
double  aValue 
) const
protected

Set the derivative of an actuator state, specified by name.

Parameters
sthe state
aStateNameThe name of the state to set.
aValueThe value to set the state to.
void OpenSim::Millard2012EquilibriumMuscle::setTendonForceLengthCurve ( TendonForceLengthCurve aTendonForceLengthCurve)
Parameters
aTendonForceLengthCurvethe TendonForceLengthCurve that this muscle model uses to define the tendon force length curve

The documentation for this class was generated from the following file: