Beam3DL2 Class Reference
[Solid Mechanics]

#include <Beam3DL2.h>

Inheritance diagram for Beam3DL2:

Detailed Description

To build element equations for 3-D beam equations using 2-node lines.

This class enables building finite element arrays for 3-D beam elements using 6 degrees of freedom per node and 2-Node line elements.


Public Member Functions
T_ *	A ()
	Return element matrix as a C-array.
double	AxialForce () const
	Return axial force in element.
T_ *	b ()
	Return element right-hand side as a C-array.
	Beam3DL2 (Mesh &ms, const NodeVect< double > &u, NodeVect< double > &d)
	Constructor to determine displacements.
	Beam3DL2 (Element *el, double A, double I1, double I2, const Vect< double > &u, const double &time=0)
	Constructor for dynamic problems.
	Beam3DL2 (Element *el, double A, double I1, double I2)
	Constructor using element data.
	Beam3DL2 ()
	Default Constructor.
Point< double >	BendingMoment () const
	Return bending moment in element.
virtual void	Deviator (double coef=1)
	Add deviator matrix to left-hand side taking into account time integration scheme.
virtual void	DeviatorToRHS (double coef=1)
	Add deviator matrix to right-hand side taking into account time integration scheme.
void	DiagBC (int dof_type=NODE_DOF, int dof=0)
	Update element matrix to impose bc by diagonalization technique.
LocalMatrix< T_, NEE_, NEE_ > &	EA ()
	Return element matrix as a LocalMatrix instance.
LocalVect< T_, NEE_ > &	Eb ()
	Return element right-hand side as a LocalVect instance.
void	ElementVector (const Vect< T_ > &b, int dof=0, int dof_type=NODE_DOF)
	Localize Element Vector.
LocalVect< T_, NEE_ > &	Ep ()
	Return element matrix as a C-array.
LinearSolver< T_ > &	getLinearSolver ()
	Return reference to linear solver instance.
size_t	getNbEq () const
	Return number of element equations.
size_t	getNbNodes () const
	Return number of element nodes.
void	LMassToLHS (double coef=1.)
	Add element lumped Mass contribution to matrix after multiplication by coef.
void	LMassToRHS (double coef=1.)
	Add element lumped Mass contribution to RHS after multiplication by coef.
void	Load (const NodeVect< double > &f)
	Add contributions for loads.
void	LocalNodeVector (AbsVect< T_ > *b)
	Localize Element Vector from a NodeVect instance.
void	MassToLHS (double coef=1.)
	Add element consistent Mass contribution to matrix after multiplication by coef (not implemented).
void	MassToRHS (double coef=1.)
	Add element consistent Mass contribution to RHS after multiplication by coef (not implemented).
T_ *	Prev ()
	Return element matrix as a C-array.
LocalMatrix< T_, NSE_, NSE_ > &	SA ()
	Return side matrix as a LocalMatrix instance.
void	setAxial ()
	Set axial contribution to stiffness.
void	setBending ()
	Set bending contribution to stiffness.
void	setDeviator ()
	Add deviator matrix to left and/or right-hand side taking into account time integration scheme.
void	setInitialSolution (const Vect< T_ > &u)
	Set initial solution (previous time step).
void	setLumpedMass ()
	Add lumped mass contribution to left and right-hand sides taking into account time integration scheme.
void	setMass ()
	Add consistent mass contribution to left and right-hand sides taking into account time integration scheme.
double	setMaterialProperty (const string &exp, const string &prop)
	Define a material property by an algebraic expression.
void	setMesh (class Mesh &m)
	Define mesh and renumber DOFs after removing imposed ones.
void	setNoAxial ()
	Set no axial contribution.
void	setNoBending ()
	Set no bending contribution.
void	setNoShear ()
	Set no shear contribution.
void	setNoTorsion ()
	Set no torsion contribution.
void	setReducedIntegration ()
	Set reduced integration.
void	setShear ()
	Set shear contribution to stiffness.
void	setStiffness ()
	Add convection contribution to left and/or right-hand side taking into account time integration scheme.
void	setTorsion ()
	Set torsion contribution to stiffness.
Point< double >	ShearForce () const
	Return shear force in element.
void	SideVector (const Vect< T_ > &b)
	Localize Side Vector.
void	Stiffness (double coef=1.)
	Add element stiffness to left hand side.
virtual void	StiffnessToRHS (double coef=1)
	Add stiffness matrix to right-hand side taking into account time integration scheme.
double	TwistingMoment () const
	Return twisting moment in element.
void	updateBC (const Vect< T_ > &bc)
	Update Right-Hand side by taking into account essential boundary conditions.
	~Beam3DL2 ()
	Destructor.
Protected Member Functions
void	Density (const char *exp)
	Set density given by an algebraic expression.
void	Density (const double &rho)
	Set (constant) density.
void	Init (const Side *sd)
	Set side arrays to zero.
void	Init (const Element *el)
	Set element arrays to zero.
void	Poisson (const char *exp)
	Set Poisson ratio given by an algebraic expression.
void	Poisson (const double &nu)
	Set (constant) Poisson ratio.
void	setMaterial ()
	Set material properties.
void	Young (const char *exp)
	Set Young modulus given by an algebraic expression.
void	Young (const double &E)
	set (constant) Young modulus

Constructor & Destructor Documentation

Beam3DL2	(	Element *	el,
		double	A,
		double	I1,
		double	I2
	)

Constructor using element data.

Parameters:

`[in]`	el	Pointer to Element
`[in]`	A	Section area of the beam
`[in]`	I1	first (x) momentum of inertia
`[in]`	I2	second (y) momentum of inertia

Beam3DL2	(	Element *	el,
		double	A,
		double	I1,
		double	I2,
		const Vect< double > &	u,
		const double &	time = `0`
	)

Constructor for dynamic problems.

Parameters:

	el	Pointer to Element
`[in]`	A	Section area of the beam
`[in]`	I1	first (x) momentum of inertia
`[in]`	I2	second (y) momentum of inertia
`[in]`	u	Vector containing previous solution (at previous time step)
`[in]`	time	Current time value

Member Function Documentation

void DiagBC	(	int	dof_type = `NODE_DOF`,
		int	dof = `0`
	)			`[inherited]`

Update element matrix to impose bc by diagonalization technique.

Parameters:

`[in]`	dof_type	DOF type option. To choose among the enumerated values: = NODE_DOF, DOFs are supported by nodes [ default ] = ELEMENT_DOF, DOFs are supported by elements = SIDE_DOF, DOFs are supported by sides
`[in]`	dof	DOF setting: = 0, All DOFs are taken into account [ default ] != 0, Only DOF No. dof is handled in the sustem

References Side::getCode(), Node::getCode(), and Node::getLabel().

void ElementVector	(	const Vect< T_ > &	b,
		int	dof = `0`,
		int	dof_type = `NODE_DOF`
	)			`[inherited]`

Localize Element Vector.

Parameters:

`[in]`	b	Global vector to be localized
`[in]`	dof_type	DOF type option. To choose among the enumerated values: = NODE_DOF, DOFs are supported by nodes [ default ] = ELEMENT_DOF, DOFs are supported by elements = SIDE_DOF, DOFs are supported by sides
`[in]`	dof	DOF setting: = 0, All DOFs are taken into account [ default ] != 0, Only DOF No. dof is handled in the sustem The resulting local vector can be accessed by attribute ePrev. This member function is to be used if a constructor with Element was invoked.

References Equation::b(), Side::getDOF(), Node::getDOF(), Side::getNbDOF(), and Node::getNbDOF().

void LocalNodeVector ( AbsVect< T_ > * b ) [inherited]

Localize Element Vector from a NodeVect instance.

Parameters:

[in] b Pointer to global vector to be localized. The resulting local vector can be accessed by attribute ePrev. This member function is to be used if a constructor with Element was invoked.

References Node::getLabel(), and Node::getNbDOF().

double setMaterialProperty	(	const string &	exp,
		const string &	prop
	)			`[inherited]`

Define a material property by an algebraic expression.

Parameters:

`[in]`	exp	Algebraic expression
`[in]`	prop	Property name

Return values:

ret

Return value in expression evaluation:

ret=0, Normal evaluation
ret!=0, An error message is displayed.

Referenced by Equa_Therm< double, 4, 4, 3, 3 >::Conduc(), Equa_Solid< double, 4, 8, 2, 4 >::Density(), Equa_Fluid< double, 4, 8, 2, 4 >::Density(), Equa_Electromagnetics< complex< double >, 3, 3, 2, 2 >::ElectricConductivity(), Equa_Electromagnetics< complex< double >, 3, 3, 2, 2 >::ElectricResistivity(), Equa_Electromagnetics< complex< double >, 3, 3, 2, 2 >::MagneticPermeability(), Equa_Solid< double, 4, 8, 2, 4 >::Poisson(), Equa_Therm< double, 4, 4, 3, 3 >::RhoCp(), Equa_Fluid< double, 4, 8, 2, 4 >::ThermalExpansion(), Equa_Fluid< double, 4, 8, 2, 4 >::Viscosity(), and Equa_Solid< double, 4, 8, 2, 4 >::Young().

void SideVector ( const Vect< T_ > & b ) [inherited]

Localize Side Vector.

Parameters:

[in]

b

Global vector to be localized

= NODE_DOF, DOFs are supported by nodes [ default ]
= ELEMENT_DOF, DOFs are supported by elements
= SIDE_DOF, DOFs are supported by sides

The resulting local vector can be accessed by attribute ePrev. This member function is to be used if a constructor with Side was invoked.

References Equation::b(), Node::getDOF(), and Node::getNbDOF().

void updateBC ( const Vect< T_ > & bc ) [inherited]

Update Right-Hand side by taking into account essential boundary conditions.

Init solution.

Parameters:

[in] bc Vector that contains imposed values at all DOFs

Beam3DL2 Class Reference [Solid Mechanics]

Detailed Description

Public Member Functions

Protected Member Functions

Constructor & Destructor Documentation

Member Function Documentation

Beam3DL2 Class Reference
[Solid Mechanics]