FE for Reissner-Mindlin Plate using MFR. More...

#include <2s_13_mfr_mindlin.h>

Inheritance diagram for MBSimFlexibleBody::FiniteElement2s13MFRMindlin:

Public Member Functions
	FiniteElement2s13MFRMindlin (double E_, double nu_, double rho_, double d0_, double d1_, double d2_, const fmatvec::Vec &NodeCoordinates)
	constructor More...

	~FiniteElement2s13MFRMindlin () override
	destructor

const fmatvec::Vec &	geth () const override

const fmatvec::SqrMat &	getdhdq () const override

const fmatvec::SqrMat &	getdhdu () const override

int	getqSize () const override

int	getuSize () const override

void	computeM (const fmatvec::Vec &q) override
	compute mass matrix More...

void	computeh (const fmatvec::Vec &q, const fmatvec::Vec &u) override
	compute smooth right hand side More...

void	computedhdz (const fmatvec::Vec &q, const fmatvec::Vec &u) override
	compute Jacobian for implicit integration More...

double	computeKineticEnergy (const fmatvec::Vec &q, const fmatvec::Vec &u) override
	compute kinetic energy More...

double	computeGravitationalEnergy (const fmatvec::Vec &q) override
	compute gravitational energy More...

double	computeElasticEnergy (const fmatvec::Vec &q) override
	compute elastic energy More...

virtual fmatvec::Vec3	getPosition (const fmatvec::Vec &qElement, const fmatvec::Vec2 &s)

virtual fmatvec::SqrMat3	getOrientation (const fmatvec::Vec &qElement, const fmatvec::Vec2 &s)

virtual fmatvec::Vec3	getVelocity (const fmatvec::Vec &qElement, const fmatvec::Vec &qpElement, const fmatvec::Vec2 &s)

virtual fmatvec::Vec3	getAngularVelocity (const fmatvec::Vec &qElement, const fmatvec::Vec &qpElement, const fmatvec::Vec2 &s)

virtual fmatvec::Mat	getJacobianOfMotion (const fmatvec::Vec &qElement, const fmatvec::Vec2 &s)

const fmatvec::SymMat &	getM () const override

const fmatvec::SymMat &	getK () const

const fmatvec::SymMat &	getM_RR () const

const fmatvec::Mat &	getN_compl () const

const fmatvec::SqrMat &	getN_ij (int i, int j) const

const fmatvec::RowVec &	getNR_ij (int i, int j) const

const fmatvec::Vec &	getR_compl () const

const fmatvec::SymMat &	getR_ij () const

void	setEModul (double E_)

void	setPoissonRatio (double nu_)

void	setDensity (double rho_)

void	setShearCorrectionFactor (double alphaS_)

void	freeK ()

void	freeM_RR ()

void	freeN_ij (int i, int j)

void	freeN_compl ()

void	freeNR_ij (int i, int j)

void	freeR_compl ()

void	freeR_ij ()

void	computeStiffnessMatrix ()
	computes stiffnes matrix

void	computeM_RR ()
	computes a part of the mass matrix

void	computeN_compl ()
	computes a part of the mass matrix

void	computeN_ij (int i, int j)
	computes a part of the mass matrix More...

void	computeN_11 ()

void	computeN_12 ()

void	computeN_13 ()

void	computeN_21 ()

void	computeN_22 ()

void	computeN_23 ()

void	computeN_31 ()

void	computeN_32 ()

void	computeN_33 ()

void	computeNR_ij (int i, int j)
	computes a part of the mass matrix More...

void	computeNR_11 ()

void	computeNR_12 ()

void	computeNR_13 ()

void	computeNR_21 ()

void	computeNR_22 ()

void	computeNR_23 ()

void	computeNR_31 ()

void	computeNR_32 ()

void	computeNR_33 ()

void	computeR_compl ()
	computes a part of the mass matrix

void	computeR_ij ()
	computes a part of the mass matrix

fmatvec::Vector< fmatvec::Fixed< 6 >, double >	getPositions (const fmatvec::Vec &NodeCoordinates, const fmatvec::Vec &qElement, const fmatvec::Vec2 &s, double d1, double d2)

fmatvec::Vector< fmatvec::Fixed< 6 >, double >	getVelocities (const fmatvec::Vec &NodeCoordinates, const fmatvec::Vec &qElement, const fmatvec::Vec &qpElement, const fmatvec::Vec2 &s, double d1, double d2)

fmatvec::Mat	JGeneralized (const fmatvec::Vec &NodeCoordinates, const fmatvec::Vec2 &s)
	compute Jacobian of contact description at contour point More...

Public Member Functions inherited from MBSimFlexibleBody::DiscretizationInterface
	DiscretizationInterface ()=default
	constructor

virtual	~DiscretizationInterface ()=default
	destructor

virtual const fmatvec::SymMat &	getM () const =0

virtual const fmatvec::Vec &	geth () const =0

virtual const fmatvec::SqrMat &	getdhdq () const =0

virtual const fmatvec::SqrMat &	getdhdu () const =0

virtual int	getqSize () const =0

virtual int	getuSize () const =0

virtual void	computeM (const fmatvec::Vec &q)=0
	compute mass matrix More...

virtual void	computeh (const fmatvec::Vec &q, const fmatvec::Vec &u)=0
	compute smooth right hand side More...

virtual void	computedhdz (const fmatvec::Vec &q, const fmatvec::Vec &u)=0
	compute Jacobian for implicit integration More...

virtual double	computeKineticEnergy (const fmatvec::Vec &q, const fmatvec::Vec &u)=0
	compute kinetic energy More...

virtual double	computeGravitationalEnergy (const fmatvec::Vec &q)=0
	compute gravitational energy More...

virtual double	computeElasticEnergy (const fmatvec::Vec &q)=0
	compute elastic energy More...

Private Attributes
double	E
	Young's modulus.

double	nu
	Poisson ratio.

double	G
	shear modulus

double	d0
	geometric factors of the disk

double	d1

double	d2

double	rho
	density

double	alphaS
	shear correction factor

int	RefDofs
	reference dof

int	NodeDofs
	elastic dof per node

int	Nodes
	number of nodes

fmatvec::Vec	NodeCoordinates
	radial and azimuthal coordinates of corner nodes

fmatvec::SymMat *	K
	stiffness matrix

fmatvec::SymMat *	M_RR
	part of the mass matrix

fmatvec::Mat *	N_compl
	part of the mass matrix

fmatvec::SqrMat *	N_ij [3][3]
	part of the mass matrix

fmatvec::RowVec *	NR_ij [3][3]
	part of the mass matrix

fmatvec::Vec *	R_compl
	part of the mass matrix

fmatvec::SymMat *	R_ij
	part of the mass matrix

Detailed Description

FE for Reissner-Mindlin Plate using MFR.

Author: Kilian Grundl; Thorsten Schindler

Date: 2009-12-23 initial commit (Grundl / Schindler); 2010-04-23 check (Schindler); 2010-08-18 check (Schindler)

Constructor & Destructor Documentation

◆ FiniteElement2s13MFRMindlin()

MBSimFlexibleBody::FiniteElement2s13MFRMindlin::FiniteElement2s13MFRMindlin	(	double	E_,
		double	nu_,
		double	rho_,
		double	d0_,
		double	d1_,
		double	d2_,
		const fmatvec::Vec &	NodeCoordinates
	)

constructor

Parameters

Young's	modulus
Poisson	ratio
density
thickness	parametrisation
radial	and azimuthal coordinates of corner nodes

Member Function Documentation

◆ computedhdz()

void MBSimFlexibleBody::FiniteElement2s13MFRMindlin::computedhdz	(	const fmatvec::Vec &	q,
		const fmatvec::Vec &	u
	)

overridevirtual

compute Jacobian for implicit integration

Parameters

generalised	positions
generalised	velocities

Implements MBSimFlexibleBody::DiscretizationInterface.

◆ computeElasticEnergy()

double MBSimFlexibleBody::FiniteElement2s13MFRMindlin::computeElasticEnergy ( const fmatvec::Vec & q )

overridevirtual

compute elastic energy

Parameters

generalised positions

Implements MBSimFlexibleBody::DiscretizationInterface.

◆ computeGravitationalEnergy()

double MBSimFlexibleBody::FiniteElement2s13MFRMindlin::computeGravitationalEnergy ( const fmatvec::Vec & q )

overridevirtual

compute gravitational energy

Parameters

generalised positions

Implements MBSimFlexibleBody::DiscretizationInterface.

◆ computeh()

void MBSimFlexibleBody::FiniteElement2s13MFRMindlin::computeh	(	const fmatvec::Vec &	q,
		const fmatvec::Vec &	u
	)

overridevirtual

compute smooth right hand side

Parameters

generalised	positions
generalised	velocities

Implements MBSimFlexibleBody::DiscretizationInterface.

◆ computeKineticEnergy()

double MBSimFlexibleBody::FiniteElement2s13MFRMindlin::computeKineticEnergy	(	const fmatvec::Vec &	q,
		const fmatvec::Vec &	u
	)

overridevirtual

compute kinetic energy

Parameters

generalised	positions
generalised	velocities

Implements MBSimFlexibleBody::DiscretizationInterface.

◆ computeM()

void MBSimFlexibleBody::FiniteElement2s13MFRMindlin::computeM ( const fmatvec::Vec & q )

overridevirtual

compute mass matrix

Parameters

generalised positions

Implements MBSimFlexibleBody::DiscretizationInterface.

◆ computeN_ij()

void MBSimFlexibleBody::FiniteElement2s13MFRMindlin::computeN_ij	(	int	i,
		int	j
	)

computes a part of the mass matrix

Parameters

index of ansatz functions

◆ computeNR_ij()

void MBSimFlexibleBody::FiniteElement2s13MFRMindlin::computeNR_ij	(	int	i,
		int	j
	)

computes a part of the mass matrix

Parameters

index of ansatz functions

◆ getdhdq()

const SqrMat & MBSimFlexibleBody::FiniteElement2s13MFRMindlin::getdhdq ( ) const

overridevirtual

Returns: Jacobian of implicit integration regarding position

Implements MBSimFlexibleBody::DiscretizationInterface.

◆ getdhdu()

const SqrMat & MBSimFlexibleBody::FiniteElement2s13MFRMindlin::getdhdu ( ) const

overridevirtual

Returns: Jacobian of implicit integration regarding velocity

Implements MBSimFlexibleBody::DiscretizationInterface.

◆ geth()

const Vec & MBSimFlexibleBody::FiniteElement2s13MFRMindlin::geth ( ) const

overridevirtual

Returns: smooth right hand side of discretization

Implements MBSimFlexibleBody::DiscretizationInterface.

◆ getM()

const SymMat & MBSimFlexibleBody::FiniteElement2s13MFRMindlin::getM ( ) const

overridevirtual

Returns: mass matrix of discretization

Implements MBSimFlexibleBody::DiscretizationInterface.

◆ getPositions()

fmatvec::Vector< fmatvec::Fixed< 6 >, double > MBSimFlexibleBody::FiniteElement2s13MFRMindlin::getPositions	(	const fmatvec::Vec &	NodeCoordinates,
		const fmatvec::Vec &	qElement,
		const fmatvec::Vec2 &	s,
		double	d1,
		double	d2
	)

Parameters

radial	and azimuthal coordinates of corner nodes
generalised	coordinates
generalised	velocities
Lagrangian	position of contour point
inner	thickness of whole disk
outer	thickness of whole disk

Returns: state at contour point

◆ getqSize()

int MBSimFlexibleBody::FiniteElement2s13MFRMindlin::getqSize ( ) const

inlineoverridevirtual

Returns: dimension of positions

Implements MBSimFlexibleBody::DiscretizationInterface.

◆ getuSize()

int MBSimFlexibleBody::FiniteElement2s13MFRMindlin::getuSize ( ) const

inlineoverridevirtual

Returns: dimension of velocities

Implements MBSimFlexibleBody::DiscretizationInterface.

◆ JGeneralized()

Mat MBSimFlexibleBody::FiniteElement2s13MFRMindlin::JGeneralized	(	const fmatvec::Vec &	NodeCoordinates,
		const fmatvec::Vec2 &	s
	)

compute Jacobian of contact description at contour point

Parameters

radial	and azimuthal coordinates of corner nodes
Lagrangian	position of contour point

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

/mbsim-env/mbsim/modules/mbsimFlexibleBody/mbsimFlexibleBody/flexible_body/fe/2s_13_mfr_mindlin.h
/mbsim-env/mbsim/modules/mbsimFlexibleBody/mbsimFlexibleBody/flexible_body/fe/2s_13_mfr_mindlin.cc
/mbsim-env/mbsim/modules/mbsimFlexibleBody/mbsimFlexibleBody/flexible_body/fe/2s_13_mfr_mindlin/K.cc
/mbsim-env/mbsim/modules/mbsimFlexibleBody/mbsimFlexibleBody/flexible_body/fe/2s_13_mfr_mindlin/M_RR.cc
/mbsim-env/mbsim/modules/mbsimFlexibleBody/mbsimFlexibleBody/flexible_body/fe/2s_13_mfr_mindlin/N_11.cc
/mbsim-env/mbsim/modules/mbsimFlexibleBody/mbsimFlexibleBody/flexible_body/fe/2s_13_mfr_mindlin/N_12.cc
/mbsim-env/mbsim/modules/mbsimFlexibleBody/mbsimFlexibleBody/flexible_body/fe/2s_13_mfr_mindlin/N_21.cc
/mbsim-env/mbsim/modules/mbsimFlexibleBody/mbsimFlexibleBody/flexible_body/fe/2s_13_mfr_mindlin/N_22.cc
/mbsim-env/mbsim/modules/mbsimFlexibleBody/mbsimFlexibleBody/flexible_body/fe/2s_13_mfr_mindlin/N_33.cc
/mbsim-env/mbsim/modules/mbsimFlexibleBody/mbsimFlexibleBody/flexible_body/fe/2s_13_mfr_mindlin/N_compl.cc
/mbsim-env/mbsim/modules/mbsimFlexibleBody/mbsimFlexibleBody/flexible_body/fe/2s_13_mfr_mindlin/NR_13.cc
/mbsim-env/mbsim/modules/mbsimFlexibleBody/mbsimFlexibleBody/flexible_body/fe/2s_13_mfr_mindlin/NR_23.cc
/mbsim-env/mbsim/modules/mbsimFlexibleBody/mbsimFlexibleBody/flexible_body/fe/2s_13_mfr_mindlin/R_compl.cc
/mbsim-env/mbsim/modules/mbsimFlexibleBody/mbsimFlexibleBody/flexible_body/fe/2s_13_mfr_mindlin/R_ij.cc

Public Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ FiniteElement2s13MFRMindlin()

Member Function Documentation

◆ computedhdz()

◆ computeElasticEnergy()

◆ computeGravitationalEnergy()

◆ computeh()

◆ computeKineticEnergy()

◆ computeM()

◆ computeN_ij()

◆ computeNR_ij()

◆ getdhdq()

◆ getdhdu()

◆ geth()

◆ getM()

◆ getPositions()

◆ getqSize()

◆ getuSize()

◆ JGeneralized()