chrono::fea::ChElasticityCosseratAdvancedGenericFPM Class Reference

Description

A Cosserat section which allows to input the material fully-populated stiffness matrix(FPM) of cross-section directly.

#include <ChBeamSectionCosserat.h>

Inheritance diagram for chrono::fea::ChElasticityCosseratAdvancedGenericFPM:

Collaboration diagram for chrono::fea::ChElasticityCosseratAdvancedGenericFPM:

Public Member Functions
	ChElasticityCosseratAdvancedGenericFPM (const ChMatrixNM< double, 6, 6 > mKlaw, const double malpha, const double mCy, const double mCz, const double mbeta, const double mSy, const double mSz)
virtual void	SetEMatrix (const ChMatrixNM< double, 6, 6 > &mKlaw)
	Set the FPM section & material of beam element, giving the stiffness FPM directly.
virtual ChMatrixNM< double, 6, 6 > &	GetEMatrix ()
	Get the stiffness FPM of section & material of beam element.
void	SetSectionRotation (double ma)
	Set the rotation in [rad] of the Y Z axes for which the YbendingRigidity and ZbendingRigidity values are defined.
double	GetSectionRotation ()
	Get the rotation in [rad] of the Y Z axes.
void	SetCentroid (double my, double mz)
	"Elastic reference": set the displacement of the elastic center (or tension center) respect to the reference section coordinate system placed at centerline.
double	GetCentroidY ()
double	GetCentroidZ ()
void	SetShearRotation (double mb)
	Set the rotation in [rad] of the Y Z axes for which the YshearRigidity and ZshearRigidity values are defined.
double	GetShearRotation ()
void	SetShearCenter (double my, double mz)
	"Shear reference": set the displacement of the shear center S respect to the reference beam line placed at centerline. More...
double	GetShearCenterY ()
double	GetShearCenterZ ()
void	UpdateEMatrix ()
	Need to update the material stiffness matrix Klaw after input section rotation and elastic center/shear center offset. More...
virtual ChMatrixNM< double, 6, 6 > &	GetTransformMatrix ()
	Get the tranformation matrix of seciton, may be useful for debug.
virtual void	ComputeStress (ChVector<> &stress_n, ChVector<> &stress_m, const ChVector<> &strain_e, const ChVector<> &strain_k) override
	Compute the generalized cut force and cut torque. More...
virtual void	ComputeStiffnessMatrix (ChMatrixNM< double, 6, 6 > &K, const ChVector<> &strain_e, const ChVector<> &strain_k) override
	Compute the 6x6 tangent material stiffness matrix [Km] = dσ/dε. More...

Additional Inherited Members
Public Attributes inherited from chrono::fea::ChElasticityCosserat
ChBeamSectionCosserat *	section

Constructor & Destructor Documentation

ChElasticityCosseratAdvancedGenericFPM()

chrono::fea::ChElasticityCosseratAdvancedGenericFPM::ChElasticityCosseratAdvancedGenericFPM ( const ChMatrixNM< double, 6, 6 >  mKlaw, const double  malpha, const double  mCy, const double  mCz, const double  mbeta, const double  mSy, const double  mSz  )

inline

Parameters

mKlaw	6x6 material fully-populated stiffness matrix(FPM) of cross-section
malpha	rotation of reference at elastic center, for bending effects [rad]
mCy	elastic center y displacement respect to centerline
mCz	elastic center z displacement respect to centerline
mbeta	rotation of reference at shear center, for shear effects [rad]
mSy	shear center y displacement respect to centerline
mSz	shear center z displacement respect to centerline

Member Function Documentation

ComputeStiffnessMatrix()

void chrono::fea::ChElasticityCosseratAdvancedGenericFPM::ComputeStiffnessMatrix ( ChMatrixNM< double, 6, 6 > &  K, const ChVector<> &  strain_e, const ChVector<> &  strain_k  )

overridevirtual

Compute the 6x6 tangent material stiffness matrix [Km] = dσ/dε.

Parameters

K	6x6 stiffness matrix
strain_e	local strain (deformation part): x= elongation, y and z are shear
strain_k	local strain (curvature part), x= torsion, y and z are line curvatures

Reimplemented from chrono::fea::ChElasticityCosserat.

ComputeStress()

void chrono::fea::ChElasticityCosseratAdvancedGenericFPM::ComputeStress ( ChVector<> &  stress_n, ChVector<> &  stress_m, const ChVector<> &  strain_e, const ChVector<> &  strain_k  )

overridevirtual

Compute the generalized cut force and cut torque.

Parameters

stress_n	local stress (generalized force), x component = traction along beam
stress_m	local stress (generalized torque), x component = torsion torque along beam
strain_e	local strain (deformation part): x= elongation, y and z are shear
strain_k	local strain (curvature part), x= torsion, y and z are line curvatures

Implements chrono::fea::ChElasticityCosserat.

SetShearCenter()

void chrono::fea::ChElasticityCosseratAdvancedGenericFPM::SetShearCenter ( double  my, double  mz  )

inline

"Shear reference": set the displacement of the shear center S respect to the reference beam line placed at centerline.

For shapes like rectangles, rotated rectangles, etc., it corresponds to the elastic center C, but for "L" shaped or "U" shaped beams this is not always true, and the shear center accounts for torsion effects when a shear force is applied.

UpdateEMatrix()

void chrono::fea::ChElasticityCosseratAdvancedGenericFPM::UpdateEMatrix

(

)

Need to update the material stiffness matrix Klaw after input section rotation and elastic center/shear center offset.

This should be called by end user.

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

• /builds/uwsbel/chrono/src/chrono/fea/ChBeamSectionCosserat.h
• /builds/uwsbel/chrono/src/chrono/fea/ChBeamSectionCosserat.cpp