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

#include <2s_13_disk.h>

Inheritance diagram for MBSimFlexibleBody::FiniteElement2s13Disk:

Public Member Functions
	FiniteElement2s13Disk (double E_, double nu_, double rho_)
	constructor More...

	~FiniteElement2s13Disk () override=default
	destructor

const fmatvec::SymMat &	getM () const override

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 &	getK () const

void	setEModul (double E_)

void	setPoissonRatio (double nu_)

void	setDensity (double rho_)

void	setShearCorrectionFactor (double alphaS_)

void	computeConstantSystemMatrices (const fmatvec::Vec &NodeCoordinates, double d1, double d2)
	computes mass and stiffness matrix More...

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	rho
	density

double	alphaS
	shear correction factor

int	RefDofs
	reference dof

int	NodeDofs
	elastic dof per node

int	Nodes
	number of nodes

fmatvec::SymMat	M
	mass and stiffness matrix

fmatvec::SymMat	K

Detailed Description

FE for Reissner-Mindlin Plate using MFR.

Author: Roland Zander; Thorsten Schindler; Kilian Grundl; Raphael Missel

Date: 2009-05-22 initial commit (Grundl / Missel / Schindler); 2009-07-24 implicit integration (Thorsten Schindler); 2010-05-25 fixed minus sign in azimuthal stiffness directions (Thorsten Schindler)

Constructor & Destructor Documentation

◆ FiniteElement2s13Disk()

MBSimFlexibleBody::FiniteElement2s13Disk::FiniteElement2s13Disk	(	double	E_,
		double	nu_,
		double	rho_
	)

constructor

Parameters

Young's	modulus
Poiison	ratio
density

Member Function Documentation

◆ computeConstantSystemMatrices()

void MBSimFlexibleBody::FiniteElement2s13Disk::computeConstantSystemMatrices	(	const fmatvec::Vec &	NodeCoordinates,
		double	d1,
		double	d2
	)

computes mass and stiffness matrix

Parameters

radial	and azimuthal coordinates of corner nodes
inner	thickness of whole disk \oaram outer thickness of whole disk

◆ computedhdz()

void MBSimFlexibleBody::FiniteElement2s13Disk::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::FiniteElement2s13Disk::computeElasticEnergy ( const fmatvec::Vec & q )

overridevirtual

compute elastic energy

Parameters

generalised positions

Implements MBSimFlexibleBody::DiscretizationInterface.

◆ computeGravitationalEnergy()

double MBSimFlexibleBody::FiniteElement2s13Disk::computeGravitationalEnergy ( const fmatvec::Vec & q )

overridevirtual

compute gravitational energy

Parameters

generalised positions

Implements MBSimFlexibleBody::DiscretizationInterface.

◆ computeh()

void MBSimFlexibleBody::FiniteElement2s13Disk::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::FiniteElement2s13Disk::computeKineticEnergy	(	const fmatvec::Vec &	q,
		const fmatvec::Vec &	u
	)

overridevirtual

compute kinetic energy

Parameters

generalised	positions
generalised	velocities

Implements MBSimFlexibleBody::DiscretizationInterface.

◆ computeM()

void MBSimFlexibleBody::FiniteElement2s13Disk::computeM ( const fmatvec::Vec & q )

overridevirtual

compute mass matrix

Parameters

generalised positions

Implements MBSimFlexibleBody::DiscretizationInterface.

◆ getdhdq()

const SqrMat & MBSimFlexibleBody::FiniteElement2s13Disk::getdhdq ( ) const

overridevirtual

Returns: Jacobian of implicit integration regarding position

Implements MBSimFlexibleBody::DiscretizationInterface.

◆ getdhdu()

const SqrMat & MBSimFlexibleBody::FiniteElement2s13Disk::getdhdu ( ) const

overridevirtual

Returns: Jacobian of implicit integration regarding velocity

Implements MBSimFlexibleBody::DiscretizationInterface.

◆ geth()

const Vec & MBSimFlexibleBody::FiniteElement2s13Disk::geth ( ) const

overridevirtual

Returns: smooth right hand side of discretization

Implements MBSimFlexibleBody::DiscretizationInterface.

◆ getM()

const fmatvec::SymMat & MBSimFlexibleBody::FiniteElement2s13Disk::getM ( ) const

inlineoverridevirtual

Returns: mass matrix of discretization

Implements MBSimFlexibleBody::DiscretizationInterface.

◆ getPositions()

Vector< Fixed< 6 >, double > MBSimFlexibleBody::FiniteElement2s13Disk::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 \oaram outer thickness of whole disk

Returns: state at contour point

◆ getqSize()

int MBSimFlexibleBody::FiniteElement2s13Disk::getqSize ( ) const

inlineoverridevirtual

Returns: dimension of positions

Implements MBSimFlexibleBody::DiscretizationInterface.

◆ getuSize()

int MBSimFlexibleBody::FiniteElement2s13Disk::getuSize ( ) const

inlineoverridevirtual

Returns: dimension of velocities

Implements MBSimFlexibleBody::DiscretizationInterface.

◆ JGeneralized()

Mat MBSimFlexibleBody::FiniteElement2s13Disk::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_disk.h
/mbsim-env/mbsim/modules/mbsimFlexibleBody/mbsimFlexibleBody/flexible_body/fe/2s_13_disk.cc

Public Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ FiniteElement2s13Disk()

Member Function Documentation

◆ computeConstantSystemMatrices()

◆ computedhdz()

◆ computeElasticEnergy()

◆ computeGravitationalEnergy()

◆ computeh()

◆ computeKineticEnergy()

◆ computeM()

◆ getdhdq()

◆ getdhdu()

◆ geth()

◆ getM()

◆ getPositions()

◆ getqSize()

◆ getuSize()

◆ JGeneralized()