Detailed Description

Performs the arc length method to solve a nonlinear system of equations.

Template Parameters

T	coefficient type

Inheritance diagram for gsDynamicBathe< T, _NL >:

Collaboration diagram for gsDynamicBathe< T, _NL >:

Public Member Functions
virtual bool	converged () const
	True if the Arc Length method converged.

virtual void	defaultOptions () override
	Set default options.

	gsDynamicBathe (const Mass_t &Mass, const Damping_t &Damping, const Stiffness_t &Stiffness, const Force_t &Force)
	Constructor.

	gsDynamicBathe (const Mass_t &Mass, const Damping_t &Damping, const Stiffness_t &Stiffness, const TForce_t &TForce)
	Constructor.

	gsDynamicBathe (const Mass_t &Mass, const Damping_t &Damping, const Jacobian_t &Jacobian, const Residual_t &Residual)
	Constructor.

	gsDynamicBathe (const Mass_t &Mass, const Damping_t &Damping, const Jacobian_t &Jacobian, const TResidual_t &TResidual)
	Constructor.

	gsDynamicBathe (const Mass_t &Mass, const Damping_t &Damping, const TJacobian_t &TJacobian, const TResidual_t &TResidual)
	Constructor.

	gsDynamicBathe (const TMass_t &TMass, const TDamping_t &TDamping, const TJacobian_t &TJacobian, const TResidual_t &TResidual)
	Constructor.

virtual index_t	numDofs ()
	Return the number of degrees of freedom.

virtual index_t	numIterations () const
	Returns the number of Newton iterations performed.

virtual gsOptionList &	options ()
	Access the options.

virtual const void	options_into (gsOptionList options)
	Return the options into options.

virtual void	setOptions (gsOptionList options)
	Set the options to options.

virtual void	setTimeStep (T dt)
	Set time step to dt.

virtual gsStatus	step (T dt)
	Perform one arc-length step.

Protected Member Functions
virtual void	_computeDamping (const gsVector< T > &U, const T time, gsSparseMatrix< T > &C) const
	Compute the damping matrix.

virtual void	_computeForce (const T time, gsVector< T > &F) const
	Compute the residual.

virtual void	_computeJacobian (const gsVector< T > &U, const T time, gsSparseMatrix< T > &K) const
	Compute the Jacobian matrix.

virtual void	_computeMass (const T time, gsSparseMatrix< T > &M) const
	Compute the mass matrix.

virtual void	_computeMassInverse (const gsSparseMatrix< T > &M, gsSparseMatrix< T > &Minv) const
	Compute the mass matrix.

virtual void	_computeResidual (const gsVector< T > &U, const T time, gsVector< T > &R) const
	Compute the residual.

gsStatus	_step (const T t, const T dt, gsVector< T > &U, gsVector< T > &V, gsVector< T > &A) const override
	Initialize the ALM.

Protected Attributes
index_t	m_numIterations
	Number of iterations performed.

T	m_t
	Time.

T	m_time
	Time.

gsVector< T >	m_U
	Displacement vector (present, at previously converged point)

Private Member Functions
template<bool _nonlinear>
std::enable_if<(_nonlinear==false), gsStatus >::type	_step_impl (const T t, const T dt, gsVector< T > &U, gsVector< T > &V, gsVector< T > &A) const

template<bool _nonlinear>
std::enable_if<(_nonlinear==true), gsStatus >::type	_step_impl (const T t, const T dt, gsVector< T > &U, gsVector< T > &V, gsVector< T > &A) const

Member Function Documentation

std::enable_if<(_nonlinear==false), gsStatus >::type _step_impl	(	const T	t,
		const T	dt,
		gsVector< T > &	U,
		gsVector< T > &	V,
		gsVector< T > &	A
	)		const

private

Stage 1: A Newmark step with DT=gamma*dt

Stage 2: A Newmark step with DT=gamma*dt

std::enable_if<(_nonlinear==true), gsStatus >::type _step_impl	(	const T	t,
		const T	dt,
		gsVector< T > &	U,
		gsVector< T > &	V,
		gsVector< T > &	A
	)		const

private

Stage 1: A Newmark step with DT=gamma*dt

Stage 2: A Newmark step with DT=gamma*dt