Detailed Description

template<typename T>
class drake::multibody::UniformGravityFieldElement< T >

This ForceElement allows modeling the effect of a uniform gravity field as felt by bodies on the surface of the Earth.

This gravity field acts on all bodies in the MultibodyTree model.

Template Parameters

T	The scalar type, which must be one of the default scalars.

#include <drake/multibody/tree/uniform_gravity_field_element.h>

Public Member Functions
	UniformGravityFieldElement ()
	Constructs a uniform gravity field element with a default strength (on the earth's surface) and direction (-z). More...

	UniformGravityFieldElement (Vector3< double > g_W)
	Constructs a uniform gravity field element with a strength given by the acceleration of gravity vector `g_W`, expressed in the world frame W. More...

	UniformGravityFieldElement (Vector3< double > g_W, std::set< ModelInstanceIndex > disabled_model_instances)
	Constructs a uniform gravity field element with a strength given by the acceleration of gravity vector `g_W`, expressed in the world frame W. More...

	~UniformGravityFieldElement () override

const Vector3< double > &	gravity_vector () const
	Returns the acceleration of the gravity vector in m/s², expressed in the world frame W. More...

void	set_gravity_vector (const Vector3< double > &g_W)
	Sets the acceleration of gravity vector, expressed in the world frame W in m/s². More...

bool	is_enabled (ModelInstanceIndex model_instance) const

void	set_enabled (ModelInstanceIndex model_instance, bool is_enabled)
	Sets is_enabled() for `model_instance` to `is_enabled`. More...

VectorX< T >	CalcGravityGeneralizedForces (const systems::Context< T > &context) const
	Computes the generalized forces `tau_g(q)` due to `this` gravity field element as a function of the generalized positions `q` stored in the input `context`, for the multibody model to which `this` element belongs. More...

T	CalcPotentialEnergy (const systems::Context< T > &context, const internal::PositionKinematicsCache< T > &pc) const final
	Computes the total potential energy of all bodies in the model in this uniform gravity field. More...

T	CalcConservativePower (const systems::Context< T > &context, const internal::PositionKinematicsCache< T > &pc, const internal::VelocityKinematicsCache< T > &vc) const final
	(Advanced) Calculates and returns the power generated by conservative force elements or zero if `this` force element is non-conservative. More...

T	CalcNonConservativePower (const systems::Context< T > &context, const internal::PositionKinematicsCache< T > &pc, const internal::VelocityKinematicsCache< T > &vc) const final
	(Advanced) Calculates the rate at which mechanical energy is being generated (positive) or dissipated (negative) other than by conversion between potential and kinetic energy. More...

Does not allow copy, move, or assignment
	UniformGravityFieldElement (const UniformGravityFieldElement &)=delete

UniformGravityFieldElement &	operator= (const UniformGravityFieldElement &)=delete

	UniformGravityFieldElement (UniformGravityFieldElement &&)=delete

UniformGravityFieldElement &	operator= (UniformGravityFieldElement &&)=delete

Public Member Functions inherited from ForceElement< T >
	ForceElement (ModelInstanceIndex model_instance)
	Default constructor for a generic force element. More...

	~ForceElement () override

ForceElementIndex	index () const
	Returns this element's unique index. More...

void	CalcAndAddForceContribution (const systems::Context< T > &context, const internal::PositionKinematicsCache< T > &pc, const internal::VelocityKinematicsCache< T > &vc, MultibodyForces< T > *forces) const
	(Advanced) Computes the force contribution for `this` force element and adds it to the output arrays of forces. More...

	ForceElement (const ForceElement &)=delete

ForceElement &	operator= (const ForceElement &)=delete

	ForceElement (ForceElement &&)=delete

ForceElement &	operator= (ForceElement &&)=delete

Public Member Functions inherited from MultibodyElement< T >
virtual	~MultibodyElement ()

ModelInstanceIndex	model_instance () const
	Returns the ModelInstanceIndex of the model instance to which this element belongs. More...

template<typename = void>
const MultibodyPlant< T > &	GetParentPlant () const
	Returns the MultibodyPlant that owns this MultibodyElement. More...

void	DeclareParameters (internal::MultibodyTreeSystem< T > *tree_system)
	Declares MultibodyTreeSystem Parameters at MultibodyTreeSystem::Finalize() time. More...

void	SetDefaultParameters (systems::Parameters< T > *parameters) const
	Sets default values of parameters belonging to each MultibodyElement in `parameters` at a call to MultibodyTreeSystem::SetDefaultParameters(). More...

	MultibodyElement (const MultibodyElement &)=delete

MultibodyElement &	operator= (const MultibodyElement &)=delete

	MultibodyElement (MultibodyElement &&)=delete

MultibodyElement &	operator= (MultibodyElement &&)=delete

Static Public Attributes
static constexpr double	kDefaultStrength = 9.81
	The strength used by our class's default constructor (i.e., on the earth's surface). More...

Protected Member Functions
void	DoCalcAndAddForceContribution (const systems::Context< T > &context, const internal::PositionKinematicsCache< T > &pc, const internal::VelocityKinematicsCache< T > &vc, MultibodyForces< T > *forces) const final
	This method is called only from the public non-virtual CalcAndAddForceContributions() which will already have error-checked the parameters so you don't have to. More...

std::unique_ptr< ForceElement< double > >	DoCloneToScalar (const internal::MultibodyTree< double > &tree_clone) const override
	Clones this ForceElement (templated on T) to a mobilizer templated on `double`. More...

std::unique_ptr< ForceElement< AutoDiffXd > >	DoCloneToScalar (const internal::MultibodyTree< AutoDiffXd > &tree_clone) const override
	Clones this ForceElement (templated on T) to a mobilizer templated on AutoDiffXd. More...

std::unique_ptr< ForceElement< symbolic::Expression > >	DoCloneToScalar (const internal::MultibodyTree< symbolic::Expression > &) const override

Protected Member Functions inherited from ForceElement< T >
virtual void	DoDeclareForceElementParameters (internal::MultibodyTreeSystem< T > *)
	Called by DoDeclareParameters(). More...

virtual void	DoSetDefaultForceElementParameters (systems::Parameters< T > *) const
	Called by DoSetDefaultParameters(). More...

Protected Member Functions inherited from MultibodyElement< T >
	MultibodyElement ()
	Default constructor made protected so that sub-classes can still declare their default constructors if they need to. More...

	MultibodyElement (ModelInstanceIndex model_instance)
	Constructor which allows specifying a model instance. More...

	MultibodyElement (ModelInstanceIndex model_instance, int64_t index)
	Both the model instance and element index are specified. More...

template<typename ElementIndexType >
ElementIndexType	index_impl () const
	Returns this element's unique index. More...

int	ordinal_impl () const
	Returns this element's unique ordinal. More...

const internal::MultibodyTree< T > &	get_parent_tree () const
	Returns a constant reference to the parent MultibodyTree that owns this element. More...

const internal::MultibodyTreeSystem< T > &	GetParentTreeSystem () const
	Returns a constant reference to the parent MultibodyTreeSystem that owns the parent MultibodyTree that owns this element. More...

void	SetTopology (const internal::MultibodyTreeTopology &tree)
	Gives MultibodyElement-derived objects the opportunity to retrieve their topology after MultibodyTree::Finalize() is invoked. More...

systems::NumericParameterIndex	DeclareNumericParameter (internal::MultibodyTreeSystem< T > *tree_system, const systems::BasicVector< T > &model_vector)
	To be used by MultibodyElement-derived objects when declaring parameters in their implementation of DoDeclareParameters(). More...

systems::AbstractParameterIndex	DeclareAbstractParameter (internal::MultibodyTreeSystem< T > *tree_system, const AbstractValue &model_value)
	To be used by MultibodyElement-derived objects when declaring parameters in their implementation of DoDeclareParameters(). More...

Constructor & Destructor Documentation

◆ UniformGravityFieldElement() [1/5]

UniformGravityFieldElement ( const UniformGravityFieldElement< T > & )

delete

◆ UniformGravityFieldElement() [2/5]

UniformGravityFieldElement ( UniformGravityFieldElement< T > && )

delete

◆ UniformGravityFieldElement() [3/5]

UniformGravityFieldElement ( )

Constructs a uniform gravity field element with a default strength (on the earth's surface) and direction (-z).

◆ UniformGravityFieldElement() [4/5]

UniformGravityFieldElement ( Vector3< double > g_W )

explicit

Constructs a uniform gravity field element with a strength given by the acceleration of gravity vector g_W, expressed in the world frame W.

◆ UniformGravityFieldElement() [5/5]

UniformGravityFieldElement	(	Vector3< double >	g_W,
		std::set< ModelInstanceIndex >	disabled_model_instances
	)

Constructs a uniform gravity field element with a strength given by the acceleration of gravity vector g_W, expressed in the world frame W.

Gravity is disabled for the set of model instances disabled_model_instances.

◆ ~UniformGravityFieldElement()

~UniformGravityFieldElement ( )

override

Member Function Documentation

◆ CalcConservativePower()

T CalcConservativePower	(	const systems::Context< T > &	context,
		const internal::PositionKinematicsCache< T > &	pc,
		const internal::VelocityKinematicsCache< T > &	vc
	)		const

finalvirtual

(Advanced) Calculates and returns the power generated by conservative force elements or zero if this force element is non-conservative.

This quantity is defined to be positive when the potential energy is decreasing. In other words, if PE is the potential energy as defined by CalcPotentialEnergy(), then the conservative power, Pc, is Pc = -d(PE)/dt.

See also: CalcPotentialEnergy(), CalcNonConservativePower()

Implements ForceElement< T >.

◆ CalcGravityGeneralizedForces()

VectorX<T> CalcGravityGeneralizedForces ( const systems::Context< T > & context ) const

Computes the generalized forces tau_g(q) due to this gravity field element as a function of the generalized positions q stored in the input context, for the multibody model to which this element belongs.

tau_g(q) is defined such that it appears on the right hand side of the equations of motion together with any other generalized forces, like so:

  Mv̇ + C(q, v)v = tau_g(q) + tau_app

where tau_app includes any other generalized forces applied on the system.

Parameters

[in] context The context storing the state of the multibody model to which this element belongs.

Returns: tau_g A vector containing the generalized forces due to this gravity field force element. The generalized forces are consistent with the vector of generalized velocities v for the parent MultibodyTree model so that the inner product v⋅tau_g corresponds to the power applied by the gravity forces on the mechanical system. That is, v⋅tau_g > 0 corresponds to potential energy going into the system, as either mechanical kinetic energy, some other potential energy, or heat, and therefore to a decrease of potential energy.

◆ CalcNonConservativePower()

T CalcNonConservativePower	(	const systems::Context< T > &	context,
		const internal::PositionKinematicsCache< T > &	pc,
		const internal::VelocityKinematicsCache< T > &	vc
	)		const

finalvirtual

(Advanced) Calculates the rate at which mechanical energy is being generated (positive) or dissipated (negative) other than by conversion between potential and kinetic energy.

Integrating this quantity yields work W, and the total energy E = PE + KE - W should be conserved by any physically-correct model, to within integration accuracy of W.

See also: CalcConservativePower()

Implements ForceElement< T >.

◆ CalcPotentialEnergy()

T CalcPotentialEnergy	(	const systems::Context< T > &	context,
		const internal::PositionKinematicsCache< T > &	pc
	)		const

finalvirtual

Computes the total potential energy of all bodies in the model in this uniform gravity field.

The definition of potential energy allows to arbitrarily choose the zero energy height. This element takes the zero energy height to be the same as the world's height. That is, a body will have zero potential energy when its the height of its center of mass is at the world's origin.

Implements ForceElement< T >.

◆ DoCalcAndAddForceContribution()

void DoCalcAndAddForceContribution	(	const systems::Context< T > &	context,
		const internal::PositionKinematicsCache< T > &	pc,
		const internal::VelocityKinematicsCache< T > &	vc,
		MultibodyForces< T > *	forces
	)		const

finalprotectedvirtual

This method is called only from the public non-virtual CalcAndAddForceContributions() which will already have error-checked the parameters so you don't have to.

Refer to the documentation for CalcAndAddForceContribution() for details describing the purpose and parameters of this method. It assumes forces to be a valid pointer to a MultibodyForces object compatible with the MultibodyTree model owning this force element.

Precondition: The position kinematics pc must have been previously updated with a call to CalcPositionKinematicsCache().; The velocity kinematics vc must have been previously updated with a call to CalcVelocityKinematicsCache().

Implements ForceElement< T >.

◆ DoCloneToScalar() [1/3]

std::unique_ptr<ForceElement<double> > DoCloneToScalar ( const internal::MultibodyTree< double > & tree_clone ) const

overrideprotectedvirtual

Clones this ForceElement (templated on T) to a mobilizer templated on double.

Implements ForceElement< T >.

◆ DoCloneToScalar() [2/3]

std::unique_ptr<ForceElement<AutoDiffXd> > DoCloneToScalar ( const internal::MultibodyTree< AutoDiffXd > & tree_clone ) const

overrideprotectedvirtual

Clones this ForceElement (templated on T) to a mobilizer templated on AutoDiffXd.

Implements ForceElement< T >.

◆ DoCloneToScalar() [3/3]

std::unique_ptr<ForceElement<symbolic::Expression> > DoCloneToScalar ( const internal::MultibodyTree< symbolic::Expression > & ) const

overrideprotectedvirtual

Implements ForceElement< T >.

◆ gravity_vector()

const Vector3<double>& gravity_vector ( ) const

Returns the acceleration of the gravity vector in m/s², expressed in the world frame W.

◆ is_enabled()

bool is_enabled ( ModelInstanceIndex model_instance ) const

Returns: true iff gravity is enabled for model_instance.

See also: enable(), disable().

Exceptions

std::exception if the model instance is invalid.

◆ operator=() [1/2]

UniformGravityFieldElement& operator= ( UniformGravityFieldElement< T > && )

delete

◆ operator=() [2/2]

UniformGravityFieldElement& operator= ( const UniformGravityFieldElement< T > & )

delete

◆ set_enabled()

void set_enabled	(	ModelInstanceIndex	model_instance,
		bool	is_enabled
	)

Sets is_enabled() for model_instance to is_enabled.

Exceptions

if	the parent model is finalized.
std::exception	if the model instance is invalid.

◆ set_gravity_vector()

void set_gravity_vector ( const Vector3< double > & g_W )

Sets the acceleration of gravity vector, expressed in the world frame W in m/s².

Member Data Documentation

◆ kDefaultStrength

constexpr double kDefaultStrength = 9.81

static

The strength used by our class's default constructor (i.e., on the earth's surface).

This is an unsigned (positive) value in m/s².

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

drake/multibody/tree/multibody_tree.h
drake/multibody/tree/uniform_gravity_field_element.h

Detailed Description

template<typename T> class drake::multibody::UniformGravityFieldElement< T >

Public Member Functions

Static Public Attributes

Protected Member Functions

Constructor & Destructor Documentation

◆ UniformGravityFieldElement() [1/5]

◆ UniformGravityFieldElement() [2/5]

◆ UniformGravityFieldElement() [3/5]

◆ UniformGravityFieldElement() [4/5]

◆ UniformGravityFieldElement() [5/5]

◆ ~UniformGravityFieldElement()

Member Function Documentation

◆ CalcConservativePower()

◆ CalcGravityGeneralizedForces()

◆ CalcNonConservativePower()

◆ CalcPotentialEnergy()

◆ DoCalcAndAddForceContribution()

◆ DoCloneToScalar() [1/3]

◆ DoCloneToScalar() [2/3]

◆ DoCloneToScalar() [3/3]

◆ gravity_vector()

◆ is_enabled()

◆ operator=() [1/2]

◆ operator=() [2/2]

◆ set_enabled()

◆ set_gravity_vector()

Member Data Documentation

◆ kDefaultStrength

template<typename T>
class drake::multibody::UniformGravityFieldElement< T >