Description

General purpose section of an Euler-Bernoulli beam in 3D, not assuming homogeneous density or homogeneous elasticity, given basic material properties.

This is the case where one uses a FEA preprocessor to compute the rigidity of a complex beam made with multi-layered reinforcements with different elasticity and different density - in such a case you could not use ChBeamSectionEulerAdvanced because you do not have a single E or single density, but you rather have collective values of bending rigidities, and collective mass per unit length. This class allows using these values directly, bypassing any knowledge of area, density, Izz Iyy, E young modulus, etc. To be used with ChElementBeamEuler. The center of mass of the section can have an offset respect to the centerline. This material can be shared between multiple beams.

#include <ChBeamSectionEuler.h>

Inheritance diagram for chrono::fea::ChBeamSectionEulerAdvancedGeneric:

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Collaboration diagram for chrono::fea::ChBeamSectionEulerAdvancedGeneric:

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Public Member Functions
	ChBeamSectionEulerAdvancedGeneric (const double mAx, const double mTxx, const double mByy, const double mBzz, const double malpha, const double mCy, const double mCz, const double mSy, const double mSz, const double mmu, const double mJxx, const double mMy=0, const double mMz=0)

virtual void	SetAxialRigidity (const double mv)
	Sets the axial rigidity, usually A*E for uniform elasticity, but for nonuniform elasticity here you can put a value ad-hoc from a preprocessor.

virtual void	SetTorsionRigidityX (const double mv)
	Sets the torsion rigidity, for torsion about X axis, at elastic center, usually J*G for uniform elasticity, but for nonuniform elasticity here you can put a value ad-hoc from a preprocessor.

virtual void	SetBendingRigidityY (const double mv)
	Sets the bending rigidity, for bending about Y axis, at elastic center, usually Iyy*E for uniform elasticity, but for nonuniform elasticity here you can put a value ad-hoc from a preprocessor.

virtual void	SetBendingRigidityZ (const double mv)
	Sets the bending rigidity, for bending about Z axis, at elastic center, usually Izz*E for uniform elasticity, but for nonuniform elasticity here you can put a value ad-hoc from a preprocessor.

virtual void	SetSectionRotation (const double mv)
	Set the rotation in [rad], abour elastic center, of the Y Z axes for which the YbendingRigidity and ZbendingRigidity values are defined.

virtual void	SetCentroidY (const double mv)
	Sets the Y position of the elastic center respect to centerline.

virtual void	SetCentroidZ (const double mv)
	Sets the Z position of the elastic center respect to centerline.

virtual void	SetShearCenterY (const double mv)
	Sets the Y position of the shear center respect to centerline.

virtual void	SetShearCenterZ (const double mv)
	Sets the Z position of the shear center respect to centerline.

virtual void	SetMassPerUnitLength (const double mv)
	Set mass per unit length, ex.SI units [kg/m] For uniform density it would be A*density, but for nonuniform density here you can put a value ad-hoc from a preprocessor.

virtual void	SetInertiaJxxPerUnitLength (const double mv)
	Set the Jxx component of the inertia per unit length (polar inertia), computed at centerline. More...

virtual void	SetInertiaJxxPerUnitLengthInMassReference (const double mv)
	Set inertia moment per unit length Jxx_massref, as assumed computed in the "mass reference" frame, ie. More...

virtual double	GetInertiaJxxPerUnitLengthInMassReference ()
	Get inertia moment per unit length Jxx_massref, as assumed computed in the "mass reference" frame, ie. More...

void	SetCenterOfMass (double my, double mz)
	"mass reference": set the displacement of the center of mass respect to the section centerline reference.

double	GetCenterOfMassY ()

double	GetCenterOfMassZ ()

virtual double	GetAxialRigidity () const override
	Gets the axial rigidity, usually A*E.

virtual double	GetTorsionRigidityX () const override
	Gets the torsion rigidity, for torsion about X axis at elastic center, usually J*G.

virtual double	GetBendingRigidityY () const override
	Gets the bending rigidity, for bending about Y axis at elastic center, usually Iyy*E.

virtual double	GetBendingRigidityZ () const override
	Gets the bending rigidity, for bending about Z axis at elastic center, usually Izz*E.

virtual double	GetSectionRotation () const override
	Set the rotation of the Y Z section axes for which the YbendingRigidity and ZbendingRigidity are defined.

virtual double	GetCentroidY () const override
	Gets the Y position of the elastic center respect to centerline.

virtual double	GetCentroidZ () const override
	Gets the Z position of the elastic center respect to centerline.

virtual double	GetShearCenterY () const override
	Gets the Y position of the shear center respect to centerline.

virtual double	GetShearCenterZ () const override
	Gets the Z position of the shear center respect to centerline.

virtual void	ComputeInertiaMatrix (ChMatrix66d &M) override
	Compute the 6x6 sectional inertia matrix, as in {x_momentum,w_momentum}=[Mm]{xvel,wvel}.

virtual void	ComputeInertiaDampingMatrix (ChMatrix66d &Ri, const ChVector3d &mW) override
	Compute the 6x6 sectional inertia damping matrix [Ri] (gyroscopic matrix damping) More...

virtual void	ComputeInertiaStiffnessMatrix (ChMatrix66d &Ki, const ChVector3d &mWvel, const ChVector3d &mWacc, const ChVector3d &mXacc) override
	Compute the 6x6 sectional inertia stiffness matrix [Ki^]. More...

virtual void	ComputeQuadraticTerms (ChVector3d &mF, ChVector3d &mT, const ChVector3d &mW) override
	Compute the centrifugal term and gyroscopic term.

virtual double	GetMassPerUnitLength () const override
	Get mass per unit length, ex.SI units [kg/m].

virtual double	GetInertiaJxxPerUnitLength () const override
	Get the Jxx component of the inertia per unit length (polar inertia), at centerline.

Public Member Functions inherited from chrono::fea::ChBeamSectionEuler
virtual void	ComputeInertialForce (ChVector3d &mFi, ChVector3d &mTi, const ChVector3d &mWvel, const ChVector3d &mWacc, const ChVector3d &mXacc)
	Compute the total inertial forces (per unit length). More...

void	SetArtificialJyyJzzFactor (double mf)
	The Euler beam model has no rotational inertia per each section, assuming mass is concentrated on the centerline. More...

double	GetArtificialJyyJzzFactor ()

virtual void	SetRayleighDampingAlpha (double malpha)
	Set the "alpha" Rayleigh damping ratio, the mass-proportional structural damping in: R = alphaM + betaK.

double	GetRayleighDampingAlpha ()

virtual void	SetRayleighDampingBeta (double mbeta)
	Set the "beta" Rayleigh damping ratio, the stiffness-proportional structural damping in: R = alphaM + betaK.

double	GetRayleighDampingBeta ()

virtual void	SetRayleighDamping (double mbeta, double malpha=0)
	Set both beta and alpha coefficients in Rayleigh damping model: R = alphaM + betaK. More...

Public Member Functions inherited from chrono::fea::ChBeamSection
void	SetDrawShape (std::shared_ptr< ChBeamSectionShape > mshape)
	Set the graphical representation for this section. More...

std::shared_ptr< ChBeamSectionShape >	GetDrawShape () const
	Get the drawing shape of this section (i.e.a 2D profile used for drawing 3D tesselation and visualization) By default a thin square section, use SetDrawShape() to change it.

void	SetDrawThickness (double thickness_y, double thickness_z)
	Shortcut: adds a ChBeamSectionShapeRectangular for visualization as a centered rectangular beam, and sets its width/height. More...

void	SetDrawCircularRadius (double draw_rad)
	Shortcut: adds a ChBeamSectionShapeCircular for visualization as a centered circular beam, and sets its radius. More...

void	SetCircular (bool ic)
	OBSOLETE only for backward compability.

Protected Attributes
double	Ax

double	Txx

double	Byy

double	Bzz

double	alpha

double	Cy

double	Cz

double	Sy

double	Sz

double	mu

double	Jxx

double	My

double	Mz

Protected Attributes inherited from chrono::fea::ChBeamSectionEuler
double	rdamping_beta

double	rdamping_alpha

double	JzzJyy_factor

Additional Inherited Members
Public Attributes inherited from chrono::fea::ChBeamSectionEuler
bool	compute_inertia_damping_matrix = true
	Flag that turns on/off the computation of the [Ri] 'gyroscopic' inertial damping matrix. More...

bool	compute_inertia_stiffness_matrix = true
	Flag that turns on/off the computation of the [Ki] inertial stiffness matrix. More...

bool	compute_Ri_Ki_by_num_diff = false
	Flag for computing the Ri and Ki matrices via numerical differentiation even if an analytical expression is provided. More...

Constructor & Destructor Documentation

◆ ChBeamSectionEulerAdvancedGeneric()

chrono::fea::ChBeamSectionEulerAdvancedGeneric::ChBeamSectionEulerAdvancedGeneric	(	const double	mAx,
		const double	mTxx,
		const double	mByy,
		const double	mBzz,
		const double	malpha,
		const double	mCy,
		const double	mCz,
		const double	mSy,
		const double	mSz,
		const double	mmu,
		const double	mJxx,
		const double	mMy = `0`,
		const double	mMz = `0`
	)

inline

Parameters

mAx	axial rigidity
mTxx	torsion rigidity
mByy	bending regidity about yy
mBzz	bending rigidity about zz
malpha	section rotation about elastic center [rad]
mCy	elastic center y displacement respect to centerline
mCz	elastic center z displacement respect to centerline
mSy	shear center y displacement respect to centerline
mSz	shear center z displacement respect to centerline
mmu	mass per unit length
mJxx	polar inertia Jxx per unit lenght, measured respect to centerline
mMy	mass center y displacement respect to centerline
mMz	mass center z displacement respect to centerline

Member Function Documentation

◆ ComputeInertiaDampingMatrix()

void chrono::fea::ChBeamSectionEulerAdvancedGeneric::ComputeInertiaDampingMatrix	(	ChMatrix66d &	Ri,
		const ChVector3d &	mW
	)

overridevirtual

Compute the 6x6 sectional inertia damping matrix [Ri] (gyroscopic matrix damping)

Parameters

Ri	6x6 sectional inertial-damping (gyroscopic damping) matrix values here
mW	current angular velocity of section, in material frame

Reimplemented from chrono::fea::ChBeamSectionEuler.

Reimplemented in chrono::fea::ChBeamSectionRayleighAdvancedGeneric.

◆ ComputeInertiaStiffnessMatrix()

void chrono::fea::ChBeamSectionEulerAdvancedGeneric::ComputeInertiaStiffnessMatrix	(	ChMatrix66d &	Ki,
		const ChVector3d &	mWvel,
		const ChVector3d &	mWacc,
		const ChVector3d &	mXacc
	)

overridevirtual

Compute the 6x6 sectional inertia stiffness matrix [Ki^].

Parameters

Ki	6x6 sectional inertial-stiffness matrix [Ki^] values here
mWvel	current angular velocity of section, in material frame
mWacc	current angular acceleration of section, in material frame
mXacc	current acceleration of section, in material frame (not absolute!)

Reimplemented from chrono::fea::ChBeamSectionEuler.

Reimplemented in chrono::fea::ChBeamSectionRayleighAdvancedGeneric.

◆ GetInertiaJxxPerUnitLengthInMassReference()

virtual double chrono::fea::ChBeamSectionEulerAdvancedGeneric::GetInertiaJxxPerUnitLengthInMassReference ( )

inlinevirtual

Get inertia moment per unit length Jxx_massref, as assumed computed in the "mass reference" frame, ie.

centered at the center of mass

◆ SetInertiaJxxPerUnitLength()

virtual void chrono::fea::ChBeamSectionEulerAdvancedGeneric::SetInertiaJxxPerUnitLength ( const double mv )

inlinevirtual

Set the Jxx component of the inertia per unit length (polar inertia), computed at centerline.

For uniform density it would be Ixx*density or, by polar theorem, (Izz+Iyy)*density, but for nonuniform density here you can put a value ad-hoc from a preprocessor

◆ SetInertiaJxxPerUnitLengthInMassReference()

virtual void chrono::fea::ChBeamSectionEulerAdvancedGeneric::SetInertiaJxxPerUnitLengthInMassReference ( const double mv )

inlinevirtual

Set inertia moment per unit length Jxx_massref, as assumed computed in the "mass reference" frame, ie.

centered at the center of mass. Call this after you set SetCenterOfMass() and SetMassPerUnitLength()

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

/builds/uwsbel/chrono/src/chrono/fea/ChBeamSectionEuler.h
/builds/uwsbel/chrono/src/chrono/fea/ChBeamSectionEuler.cpp

Description

Public Member Functions

Protected Attributes

Additional Inherited Members

Constructor & Destructor Documentation

◆ ChBeamSectionEulerAdvancedGeneric()

Member Function Documentation

◆ ComputeInertiaDampingMatrix()

◆ ComputeInertiaStiffnessMatrix()

◆ GetInertiaJxxPerUnitLengthInMassReference()

◆ SetInertiaJxxPerUnitLength()

◆ SetInertiaJxxPerUnitLengthInMassReference()