XC::BeamWithHinges2d Class Reference

2D beam with hinges in both ends. More...

#include <BeamWithHinges2d.h>

Inheritance diagram for XC::BeamWithHinges2d:

Public Member Functions
	BeamWithHinges2d (int tag, int nodeI, int nodeJ, double E, double A, double I, PrismaticBarCrossSection &sectionRefI, double hingeIlen, PrismaticBarCrossSection &sectionRefJ, double hingeJlen, CrdTransf2d &coordTrans, double massDensPerUnitLength=0.0, int max=1, double tol=1.0e-16)
	Constructor. More...
	BeamWithHinges2d (int tag=0)
	Default Constructor. More...
	BeamWithHinges2d (int tag, const Material *theSection, const CrdTransf *coordTransf)
	Constructor. More...
Element *	getCopy (void) const
	Virtual constructor.
double	getRho (void) const
void	setRho (const double &r)
CrossSectionProperties2d	getSectionProperties (void) const
void	setSectionProperties (const CrossSectionProperties2d &ctes)
int	getNumDOF (void) const
	Returns 6, the number of degrees of freedom for this element.
void	setDomain (Domain *theDomain)
	Sets the domain for the element.
int	commitState (void)
	Invokes commitState() on each section and returns the sum of the result of these invocations. More...
int	revertToLastCommit (void)
	Invokes revertToLastCommit() on each section and returns the sum of the result of these invocations. More...
int	revertToStart (void)
	Invokes revertToStart() on each section and returns the sum of the result of these invocations. More...
int	update (void)
	Updates the element state. More...
const Matrix &	getTangentStiff (void) const
	Computes the element flexibility matrix, then returns its inverse. More...
const Matrix &	getInitialStiff (void) const
const Matrix &	getMass (void) const
	Return the element lumped mass matrix. More...
void	zeroLoad (void)
	Zero the element load contributions to the residual.
int	addLoad (ElementalLoad *theLoad, double loadFactor)
	Effect of the load over the element.
int	addInertiaLoadToUnbalance (const Vector &accel)
const Vector &	getResistingForce (void) const
	Returns the element resisting force vector. More...
const Vector &	getResistingForceIncInertia (void) const
	Returns the element resisting force vector. More...
int	sendSelf (CommParameters &)
	Sends object through the channel being passed as parameter.
int	recvSelf (const CommParameters &)
	Receives object through the channel being passed as parameter.
Response *	setResponse (const std::vector< std::string > &argv, Information &info)
	setResponse() is a method invoked to determine if the element will respond to a request for a certain of information. More...
int	getResponse (int responseID, Information &info)
	Obtain information from an analysis. More...
int	setParameter (const std::vector< std::string > &argv, Parameter &param)
	Sets the value param to the parameter argv.
int	updateParameter (int parameterID, Information &info)
	Updates the parameter identified by parameterID with info.
void	Print (std::ostream &s, int flag=0)
	Print stuff.
Public Member Functions inherited from XC::BeamColumnWithSectionFDTrf2d
	BeamColumnWithSectionFDTrf2d (int tag, int classTag, int numSec)
	BeamColumnWithSectionFDTrf2d (int tag, int classTag, int numSec, const Material *mat, const CrdTransf *trf)
	BeamColumnWithSectionFDTrf2d (int tag, int classTag, int numSec, int nodeI, int nodeJ, CrdTransf2d &coordTransf)
	BeamColumnWithSectionFDTrf2d (const BeamColumnWithSectionFDTrf2d &)
	Copy constructor.
	~BeamColumnWithSectionFDTrf2d (void)
	Destructor.
void	initialize_trf (void)
virtual CrdTransf *	getCoordTransf (void)
	Returns (if possible) a pointer to the coordinate transformation.
virtual const CrdTransf *	getCoordTransf (void) const
	Returns (if possible) a pointer to the coordinate transformation.
Public Member Functions inherited from XC::BeamColumnWithSectionFD
	BeamColumnWithSectionFD (int tag, int classTag, const size_t &numSecc=1)
	BeamColumnWithSectionFD (int tag, int classTag, const size_t &numSecc, const Material *m)
	BeamColumnWithSectionFD (int tag, int classTag, const size_t &numSecc, const PrismaticBarCrossSection *sccModel)
	BeamColumnWithSectionFD (int tag, int classTag, const size_t &numSecc, const PrismaticBarCrossSection *sccModel, int Nd1, int Nd2)
const PrismaticBarCrossSection *	getSectionPtr (const size_t &i) const
	Returns a pointer to the i-th section of the element.
void	setTrialSectionDeformations (const std::vector< Vector > &vs)
virtual void	setSection (const PrismaticBarCrossSection *sccModel)
bool	setSections (const std::vector< PrismaticBarCrossSection *> &sectionPtrs)
size_t	getNumSections (void) const
PrismaticBarCrossSectionsVector &	getSections (void)
Response *	setSectionResponse (PrismaticBarCrossSection *, const std::vector< std::string > &, const size_t &, Information &)
int	setSectionParameter (PrismaticBarCrossSection *, const std::vector< std::string > &, const size_t &, Parameter &)
Public Member Functions inherited from XC::Element1D
	Element1D (int tag, int classTag)
	Constructor.
	Element1D (int tag, int classTag, int Nd1, int Nd2)
	Constructor.
Matrix	getLocalAxes (bool) const
	Returs a matrix with the axes of the element as matrix rows [[x1,y1,z1],[x2,y2,z2],...·].
virtual CrdTransf *	checkCoordTransf (void)
	Returns (and checks that it exists) a const pointer to the coordinate transformation.
virtual const CrdTransf *	checkCoordTransf (void) const
	Returns (and checks that it exists) a const pointer to the coordinate transformation.
virtual const Matrix &	getCooPoints (const size_t &ndiv) const
	Return points distributed between the nodes as a matrix with the coordinates as rows.
virtual const Vector &	getCooPoint (const double &xrel) const
	Return the point that correspond to the relative coordinate 0<=xrel<=1.
Segment3d	getLineSegment (bool initialGeometry=true) const
	Return the segment defined by the element.
double	getDist2 (const Pos2d &p, bool initialGeometry=true) const
	Return the squared distance from the element to the point que is being passed as parameter. More...
double	getDist (const Pos2d &p, bool initialGeometry=true) const
	Return the the distance from the element to the point being passed as parameter. More...
double	getDist2 (const Pos3d &p, bool initialGeometry=true) const
	Return the squared distance from the element to the point que is being passed as parameter. More...
double	getDist (const Pos3d &p, bool initialGeometry=true) const
	Return the the distance from the element to the point being passed as parameter. More...
size_t	getDimension (void) const
	Return the element dimension (0, 1, 2 or 3).
int	getVtkCellType (void) const
	Interfaz con VTK.
virtual void	computeTributaryLengths (bool initialGeometry=true) const
	Calcula the tributary lengths that corresponds to each node of the element.
double	getTributaryLength (const Node *) const
	Return the tributary length corresponding to the node being passed as parameter. More...
void	vector2dUniformLoadGlobal (const Vector &)
void	vector2dUniformLoadLocal (const Vector &)
void	vector2dPointByRelDistLoadGlobal (const double &, const Vector &)
void	vector2dPointByRelDistLoadLocal (const double &, const Vector &)
void	vector2dPointLoadGlobal (const Vector &, const Vector &)
void	vector2dPointLoadLocal (const Vector &, const Vector &)
void	vector3dUniformLoadGlobal (const Vector &)
void	vector3dUniformLoadLocal (const Vector &)
void	vector3dPointByRelDistLoadGlobal (const double &, const Vector &)
void	vector3dPointByRelDistLoadLocal (const double &, const Vector &)
void	vector3dPointLoadGlobal (const Vector &, const Vector &)
void	vector3dPointLoadLocal (const Vector &, const Vector &)
void	strainLoad (const DeformationPlane &p1, const DeformationPlane &p2)
Public Member Functions inherited from XC::ElementBase< 2 >
	ElementBase (int tag, int classTag)
	Default constructor.
	ElementBase (const ElementBase &)
	Copy constructor.
ElementBase &	operator= (const ElementBase &)
	Assignment operator.
int	getNumExternalNodes (void) const
	Return the number of external nodes.
NodePtrsWithIDs &	getNodePtrs (void)
	Returns a pointer to the node vector.
const NodePtrsWithIDs &	getNodePtrs (void) const
	Returns a pointer to the node vector.
Pos3d	getCenterOfMassPosition (bool initialGeometry=true) const
	Return position of the element centroid.
Public Member Functions inherited from XC::Element
	Element (int tag, int classTag)
	Constructor that takes the element's unique tag and the number of external nodes for the element. More...
virtual int	getNumEdges (void) const
	Returns number of edges (it must be overloaded for elements that have nodes inside edges. More...
std::vector< int >	getIdxNodes (void) const
virtual void	setIdNodes (const std::vector< int > &inodes)
	Set the nodes.
virtual void	setIdNodes (const ID &inodes)
	Set the nodes.
virtual bool	isSubdomain (void)
	Returns true if the element is a subdomain.
virtual const Matrix &	getDamp (void) const
	Returns the damping matrix. More...
virtual int	setRayleighDampingFactors (const RayleighDampingFactors &rF) const
	Set Rayleigh damping factors.
const Vector &	getNodeResistingComponents (const size_t &, const Vector &) const
	Returns the generalized force of the element over the iNod-th node. More...
const Vector &	getNodeResistingForce (const size_t &iNod) const
	Returns the generalized force of the element over the iNod-th node. More...
const Vector &	getNodeResistingForceIncInertia (const size_t &iNod) const
	Returns the generalized force (including inertia forces) of the element over the node identified by the argument. More...
const Vector &	getNodeResistingForce (const Node *) const
	Returns the generalized force (including inertia forces) of the element over the node identified by the argument. More...
const Vector &	getNodeResistingForceIncInertia (const Node *) const
	Returns the generalized force (including inertia forces) of the element over the node identified by the argument. More...
Vector	getEquivalentStaticLoad (int mode, const double &) const
	Returns the equivalent static load for the mode being passed as parameter and the acceleration that corresponding that mode. More...
Matrix	getEquivalentStaticNodalLoads (int mode, const double &) const
	Returns the equivalent static load on each node for the mode being passed as parameter and the corresponding acceleration to the mode. More...
Response *	setMaterialResponse (Material *, const std::vector< std::string > &, const size_t &, Information &)
virtual int	addInertiaLoadSensitivityToUnbalance (const Vector &accel, bool tag)
int	setMaterialParameter (Material *, const std::vector< std::string > &, const size_t &, Parameter &)
virtual int	activateParameter (int parameterID)
	Activates the parameter identified by parameterID.
virtual const Vector &	getResistingForceSensitivity (int gradNumber)
virtual const Matrix &	getInitialStiffSensitivity (int gradNumber)
virtual const Matrix &	getDampSensitivity (int gradNumber)
virtual const Matrix &	getMassSensitivity (int gradNumber)
virtual int	commitSensitivity (int gradNumber, int numGrads)
virtual int	addResistingForceToNodalReaction (bool inclInertia)
	Adds nodal reactions.
double	MaxCooNod (int i) const
	Returns the maximum value of the i coordinate of the element nodes.
double	MinCooNod (int i) const
	Returns the minimum value of the i coordinate of the element nodes.
const Matrix &	getCooNodes (void) const
	Returns the coordinates of the nodes.
virtual Vector	getBaseVector (size_t i, bool initialGeometry=true) const
	Returns a base vector in the direction of the local i-th axis from the i-th row of the matrix returned by getLocalAxes. More...
virtual Vector3d	getBaseVector3d (size_t i, bool initialGeometry=true) const
	Returns a base vector in the direction of the local i-th axis from the i-th row of the matrix returned by getLocalAxes. More...
virtual Vector3d	getIVector3d (bool initialGeometry=true) const
	Returns a vector in the direction of the local x axis from the first row of the matrix returned by getLocalAxes. More...
virtual Vector3d	getJVector3d (bool initialGeometry=true) const
	Returns a vector in the direction of the local y axis from the second row of the matrix returned by getLocalAxes. More...
virtual Vector3d	getKVector3d (bool initialGeometry=true) const
	Returns a vector in the direction of the local z axis from the third row of the matrix returned by getLocalAxes. More...
virtual Rect3d3dCooSys	getCooSys (bool) const
	Returns the element coordinate system from the matrix returned by getLocalAxes. More...
Pos3d	getPosNode (const size_t &i, bool initialGeometry=true) const
	Returns the position of the i-th node. More...
std::list< Pos3d >	getPosNodes (bool initialGeometry=true) const
	Returns the coordinates of the nodes.
Vector	getCenterOfMassCoordinates (bool initialGeometry=true) const
	Returns the coordinates del centro de gravedad of the element.
Pos3dArray3d	getPoints (const size_t &ni, const size_t &nj, const size_t &nk, bool initialGeometry=true)
	Returns a grid of points distributed along the line.
bool	In (const GeomObj3d &, const double &factor=1.0, const double &tol=0.0) const
bool	Out (const GeomObj3d &, const double &factor=1.0, const double &tol=0.0) const
bool	In (const GeomObj2d &, const double &factor=1.0, const double &tol=0.0) const
bool	Out (const GeomObj2d &, const double &factor=1.0, const double &tol=0.0) const
void	resetTributaries (void) const
	Resets tributary areas of connected nodes.
void	dumpTributaries (const std::vector< double > &) const
	Adds to the tributary magnitude of each node the vector being passed as parameter. More...
virtual double	getTributaryLengthByTag (const int &) const
	Returns the tributary length corresponding to the node which tag se pasa as parameter. More...
virtual void	computeTributaryAreas (bool initialGeometry=true) const
	Compute tributary areas for each element node.
virtual double	getTributaryArea (const Node *) const
	Returns the tributary area corresponding to the node.
virtual double	getTributaryAreaByTag (const int &) const
	Returns the tributary area corresponding to the node.
virtual void	computeTributaryVolumes (bool initialGeometry=true) const
	Computes the tributary volumes that corresponds to each node of the element.
virtual double	getTributaryVolume (const Node *) const
	Returns the tributary volume corresponding to the node being passed as parameter. More...
virtual double	getTributaryVolumeByTag (const int &) const
	Returns the tributary volume corresponding to the node which tag se pasa as parameter. More...
virtual Vector	getInterpolationFactors (const ParticlePos3d &) const
	Returns interpolattion factors for a material point.
virtual Vector	getInterpolationFactors (const Pos3d &) const
	Returns interpolattion factors for a material point.
virtual const GaussModel &	getGaussModel (void) const
	Returns the Gauss integration model of the element.
virtual NodesEdge	getNodesEdge (const size_t &) const
	Returns the nodes of the element edge.
virtual int	getEdgeNodes (const Node *, const Node *) const
	Returns the edge of the element that ends in the nodes being passed as parameters. More...
int	getEdgeNodes (const int &, const int &) const
	Returns the edge of the element that ends in the nodes with the tags being passed as parameters. More...
virtual ID	getEdgesNode (const Node *) const
	Returns the edges of the element that ends in the node being passed as parameter. More...
std::set< int >	getEdgesNodes (const NodePtrSet &) const
	Returns the element edges that have both ends in the node set being passed as parameter. More...
ID	getEdgesNodeByTag (const int &) const
	Returns the edges of the element that have an en in the node with the tag being passed as parameter. More...
virtual ID	getLocalIndexNodesEdge (const size_t &i) const
	Returns the local indexes of the element nodes that lie over the i-th edge. More...
virtual std::set< std::string >	getMaterialNames (void) const
	Return the names of the material(s) of the element.
boost::python::list	getMaterialNamesPy (void) const
	Return the names of the material(s) of the element in a Python list.
std::set< SetBase * >	get_sets (void) const
	Returns the sets to which the element belongs.
void	add_to_sets (std::set< SetBase *> &)
	Adds the element to the sets being passed as parameters.
Public Member Functions inherited from XC::MeshComponent
	MeshComponent (int classTag)
	Constructor.
	MeshComponent (int tag, int classTag)
	Constructor.
Public Member Functions inherited from XC::ContinuaReprComponent
	ContinuaReprComponent (int classTag)
	ContinuaReprComponent (int tag, int classTag)
virtual const bool	isDead (void) const
virtual const bool	isAlive (void) const
virtual void	kill (void)
virtual void	alive (void)
Public Member Functions inherited from XC::DomainComponent
	~DomainComponent (void)
	Destructor.
size_t	getIdx (void) const
	Returns the index of the object (to be used in VTK arrays).
virtual Domain *	getDomain (void) const
	Returns a pointer to the enclosing domain. More...
const Preprocessor *	getPreprocessor (void) const
	Returns (if possible) a pointer to the preprocessor.
Preprocessor *	getPreprocessor (void)
	Return (if possible) a pointer to the preprocessor.
void	set_index (const size_t &i)
	Set the index for the object (see numera in Set). More...
Public Member Functions inherited from XC::TaggedObject
	TaggedObject (int tag, CommandEntity *owr=nullptr)
	Constructor. More...
void	assignTag (int newTag)
	Set tag (to be called from Python interface).
int	getTag (void) const
	Returns the tag associated with the object.
Public Member Functions inherited from XC::MovableObject
	MovableObject (int classTag, int dbTag)
	Constructor. More...
	MovableObject (int classTag)
	Constructor. More...
	MovableObject (const MovableObject &)
	Copy constructor. Doesn't copy the dbTag.
MovableObject &	operator= (const MovableObject &)
	Assignment operator. Doesn't copy the dbTag.
int	getClassTag (void) const
	Return the class identifier.
int	getDbTag (void) const
	Return the object identifier in the database.
int	getDbTag (CommParameters &)
	Return the object identifier in the database.
void	setDbTag (int dbTag)
	Sets the object identifier in the database.
void	setDbTag (CommParameters &)
	Sets the object identifier in the database if not already set. More...
virtual int	setVariable (const std::string &variable, Information &)
	Set the value of the variable idenfified by var.
virtual int	getVariable (const std::string &variable, Information &)
	Return the value of the variable idenfified by var.
Public Member Functions inherited from XC::DistributedBase
	DistributedBase (void)
	Constructor.
virtual DbTagData &	getDbTagData (void) const
	Returns a vector to store class dbTags.
const int &	getDbTagDataPos (const int &i) const
	Returns the data at the i-th position.
void	setDbTagDataPos (const int &i, const int &v)
	Sets the data at the i-th position.
void	inicComm (const int &dataSize) const
	Initializes communication.

Protected Member Functions
int	sendData (CommParameters &)
	Send members through the channel being passed as parameter.
int	recvData (const CommParameters &)
	Receives members through the channel being passed as parameter.
Protected Member Functions inherited from XC::BeamColumnWithSectionFDTrf2d
int	sendData (CommParameters &cp)
	Send members through the channel being passed as parameter.
int	recvData (const CommParameters &cp)
	Receives members through the channel being passed as parameter.
void	set_transf (const CrdTransf *trf)
	Asigna la coordinate transformation.
Protected Member Functions inherited from XC::BeamColumnWithSectionFD
int	sendData (CommParameters &cp)
	Send members through the channel being passed as parameter.
int	recvData (const CommParameters &cp)
	Receives members through the channel being passed as parameter.
Protected Member Functions inherited from XC::Element1D
ElemPtrArray3d	put_on_mesh (const NodePtrArray3d &, meshing_dir dm) const
	Places the element on the mesh.
ElemPtrArray3d	cose (const SetEstruct &f1, const SetEstruct &f2) const
int	sendCoordTransf (int posFlag, const int &, const int &, CommParameters &)
	Envía la coordinate transformation through the channel being passed as parameter.
CrdTransf *	recvCoordTransf (int posFlag, const int &, const int &, const CommParameters &)
	Recibe la coordinate transformation through the channel being passed as parameter.
CrdTransf2d *	recvCoordTransf2d (int posFlag, const int &, const int &, const CommParameters &)
	Recibe una coordinate transformation 2d through the channel being passed as parameter.
CrdTransf3d *	recvCoordTransf3d (int posFlag, const int &, const int &, const CommParameters &)
	Recibe una coordinate transformation 3d through the channel being passed as parameter.
Protected Member Functions inherited from XC::ElementBase< 2 >
TIPOMAT *	cast_material (const Material *ptr_mat)
	Casts the material pointer to a suitable type.
int	sendData (CommParameters &cp)
	Send members through the channel being passed as parameter.
int	recvData (const CommParameters &cp)
	Receives members through the channel being passed as parameter.
Protected Member Functions inherited from XC::Element
const Vector &	getRayleighDampingForces (void) const
	Returns element Rayleigh damping forces.
int	sendData (CommParameters &cp)
	Sends object members through the channel being passed as parameter.
int	recvData (const CommParameters &cp)
	Receives object members through the channel being passed as parameter.
Protected Member Functions inherited from XC::MeshComponent
void	setup_matrices (std::deque< Matrix > &, const int &) const
	Initializes the matrix container.
int	sendIdsEtiquetas (int posDbTag, CommParameters &)
	Send labelsthrough the channel being passed as parameter.
int	recvIdsEtiquetas (int posDbTag, const CommParameters &)
	Receive labels through the channel being passed as parameter.
int	sendData (CommParameters &)
	Send members through the channel being passed as parameter.
int	recvData (const CommParameters &)
	Receives members through the channel being passed as parameter.
Protected Member Functions inherited from XC::ContinuaReprComponent
int	sendData (CommParameters &)
	Send members through the channel being passed as parameter.
int	recvData (const CommParameters &)
	Receives members through the channel being passed as parameter.
Protected Member Functions inherited from XC::DomainComponent
	DomainComponent (int tag, int classTag)
	Constructor. More...
int	sendData (CommParameters &)
	Send object members through the channel being passed as parameter.
int	recvData (const CommParameters &)
	Receive object members through the channel being passed as parameter.
Protected Member Functions inherited from XC::TaggedObject
void	setTag (int newTag)
	Set tag. More...

Additional Inherited Members
Public Types inherited from XC::Element
typedef std::vector< const Node * >	NodesEdge
	Nodes on an element edge. More...
Static Public Member Functions inherited from XC::ElementBase< 2 >
static const int	numNodes (void)
	Returns the element number of nodes.
Static Public Member Functions inherited from XC::Element
static void	setDeadSRF (const double &d)
	Assigns Stress Reduction Factor for element deactivation.
static DefaultTag &	getDefaultTag (void)
	Returns next element's tag value by default.
Static Public Attributes inherited from XC::Element
static double	dead_srf = 1e-6
	Stress reduction factor for foozen elements.
Protected Attributes inherited from XC::BeamColumnWithSectionFDTrf2d
CrdTransf2d *	theCoordTransf
Protected Attributes inherited from XC::BeamColumnWithSectionFD
PrismaticBarCrossSectionsVector	theSections
	pointers to the PrismaticBarCrossSection objects
SectionMatrices	section_matrices
Protected Attributes inherited from XC::Element1D
std::vector< double >	tributaryLengths
Protected Attributes inherited from XC::ElementBase< 2 >
NodePtrsWithIDs	theNodes
	pointers to node.
Protected Attributes inherited from XC::Element
Vector	load
	vector for applying loads
RayleighDampingFactors	rayFactors
	Rayleigh damping factors.
Matrix	Kc
	pointer to hold last committed matrix if needed for rayleigh damping
Protected Attributes inherited from XC::MeshComponent
int	index
	Index for VTK arrays.
LabelContainer	labels
	Label container.

Detailed Description

2D beam with hinges in both ends.

BeamWithHinges2D is a beam-column element which uses the force based formulation for its state determination. This element has material non-linear hinges at both ends and exhibits linear elastic behavior through its interior region, including linear elastic shear effects.

Constructor & Destructor Documentation

BeamWithHinges2d() [1/3]

XC::BeamWithHinges2d::BeamWithHinges2d	(	int	tag,
		int	nodeI,
		int	nodeJ,
		double	e,
		double	a,
		double	i,
		PrismaticBarCrossSection &	sectionRefI,
		double	lpi,
		PrismaticBarCrossSection &	sectionRefJ,
		double	lpj,
		CrdTransf2d &	coordTransf,
		double	r = 0.0,
		int	max = 1,
		double	tol = 1.0e-16
	)

Constructor.

Parameters

tag	element identifier.
nodeI	identifier of the back end node.
nodeJ	identifier of the front end node.
E	modulus of elasticity of the interior beam region.
A	cross-section area of the interior beam region.
I	second moment area of the interior beam region.
sectionRefI	section material for the back end hinge.
lpi	length ratio of the back end hinge.
sectionRefJ	section material for the front end hinge.
lpj	length ratio of the front end hinge.

BeamWithHinges2d() [2/3]

XC::BeamWithHinges2d::BeamWithHinges2d

(

int

tag = 0

)

Default Constructor.

Parameters

tag	element identifier.

BeamWithHinges2d() [3/3]

XC::BeamWithHinges2d::BeamWithHinges2d	(	int	tag,
		const Material *	mat,
		const CrdTransf *	coordTransf
	)

Constructor.

Parameters

tag	element identifier.

Member Function Documentation

commitState()

int XC::BeamWithHinges2d::commitState ( void  )

virtual

Invokes commitState() on each section and returns the sum of the result of these invocations.

Reimplemented from XC::BeamColumnWithSectionFD.

getMass()

const XC::Matrix & XC::BeamWithHinges2d::getMass ( void  ) const

virtual

Return the element lumped mass matrix.

Returns the element lumped mass matrix, \(mele\). It is assumed that the mass density per unit length, \(\rho\), is constant along the entire element, including the hinge regions.

{equation} {eq:mele} mele = [ {array}{c c c c c c} { L}{2} & 0 & 0 & 0 & 0 & 0 0 & { L}{2} & 0 & 0 & 0 & 0 0 & 0 & 0 & 0 & 0 & 0 0 & 0 & 0 & { L}{2} & 0 & 0 0 & 0 & 0 & 0 & { L}{2} & 0 0 & 0 & 0 & 0 & 0 & 0 {array} ] {equation}

Reimplemented from XC::Element.

getResistingForce()

const XC::Vector & XC::BeamWithHinges2d::getResistingForce ( void  ) const

virtual

Returns the element resisting force vector.

Returns the element resisting force vector. The basic element force vector is obtained as the product of the basic element stiffness, \(kbas\), given by Equation eq:kele}, and the basic element deformations, \(vbas\).

{equation} = kbas vbas {equation}

The basic element force vector is then transformed from the corotating frame to the global frame of reference. The transformed force vector is then assembled into the structural system of equations.

{equation} {eq:qele} qele = {A}^T {equation}

Implements XC::Element.

getResistingForceIncInertia()

const XC::Vector & XC::BeamWithHinges2d::getResistingForceIncInertia ( void  ) const

virtual

Returns the element resisting force vector.

Returns the element resisting force vector, \(\tilde{qele}\) with inertia forces included,

{equation} {qele} = qele - mele { u} {equation}

where \(qele\) and \(mele\) are obtained from Equations eq:qele} and eq:mele}, respectively, and \(\ddot{\mathbf u}\) is the vector of trial nodal accelerations for the element.

Reimplemented from XC::Element.

getResponse()

int XC::BeamWithHinges2d::getResponse ( int  responseID, Information &  eleInfo  )

virtual

Obtain information from an analysis.

getResponse is a method invoked to obtain information from an analysis. The method is invoked with the integer argument returned and the Information object that was prepared in a successfull {setResponse()} method invocation. To return \(0\) if successfull, a negative number if not. The base class implementation will always return \(-1\).

Reimplemented from XC::Element.

getTangentStiff()

const XC::Matrix & XC::BeamWithHinges2d::getTangentStiff ( void  ) const

virtual

Computes the element flexibility matrix, then returns its inverse.

Computes the element flexibility matrix, then returns its inverse, the element stiffness matrix. The element flexibility is the sum of the hinge flexibilities, \(\mathbf{f}_I\) and \(\mathbf{f}_J\), and the elastic flexibility of the beam interior, \(\mathbf{f}_{mid}\).

{equation} {eq:fele} := {0}^{L}{bint^T fsec bint \: dx} = {f}_I + {f}_{mid} + {f}_J {equation}

The flexibility of the beam interior is obtained in closed form,

{equation} {f}_{mid} = {l_I}^{L-l_J}{bint^T fsec_{mid} bint \: dx} {equation}

where \(bint\) is the force interpolation matrix,

{equation} bint := [ {array}{c c c} 1 & 0 & 0 0 & {x}{L} & {x}{L} - 1 0 & {1}{L} & {1}{L} {array} ] {equation}

//! and \(fsec\) is the elastic section flexibility of the beam interior.

{equation} fsec_{mid} = [ {array}{c c c} {1}{EA} & 0 & 0 0 & {1}{EI} & 0 0 & 0 & {1}{ GA} {array} ] {equation}

The hinge flexibilities, \(\mathbf{f}_I\) and \(\mathbf{f}_J\), are obtained by the midpoint integration rule,

{equation} {{f}}_i = bint(x_i)^T fsec_i bint(x_i) * l_i, \:\: i=I,J {equation}

where \(x_i\) is the midpoint of hinge \(i\), measured along the length of the beam, and is the point at which the force interpolation matrix, \(bint\) is evaluated. The flexiblity, \(fsec_i\), is obtained from the constitutive relation for section \(i\).

The element stiffness is then obtained by inversion of the element flexibility, given by Equation eq:fele}.

{equation} {eq:kele} kbas = ^{-1} {equation}

The element then obtains the matrix, \(\mathbf{A}\), which transforms the element basic stiffness from its corotating frame to the global frame of reference. The transformed stiffness matrix, \(kele\), is then assembled into the structural system of equations.

{equation} kele = {A}^T kbas {A} {equation}

Implements XC::Element.

revertToLastCommit()

int XC::BeamWithHinges2d::revertToLastCommit ( void  )

virtual

Invokes revertToLastCommit() on each section and returns the sum of the result of these invocations.

Reimplemented from XC::BeamColumnWithSectionFD.

revertToStart()

int XC::BeamWithHinges2d::revertToStart ( void  )

virtual

Invokes revertToStart() on each section and returns the sum of the result of these invocations.

Reimplemented from XC::BeamColumnWithSectionFD.

setResponse()

XC::Response * XC::BeamWithHinges2d::setResponse ( const std::vector< std::string > &  argv, Information &  eleInfo  )

virtual

setResponse() is a method invoked to determine if the element will respond to a request for a certain of information.

The information requested of the element is passed in the array of char pointers argv of length {em argc}. If the element does not respond to the request a \(-1\) is returned. If it does respond, an integer value greater than or equal to \(0\) is returned. This is the responseID passed in the getResponse() method. In addition the Element object is responsible for setting the Information object eleInformation with the type of the return, i.e. {IntType, DoubleType, MatrixType, VectorType, IDType}, and for creating a Matrix, Vector or ID object for the Information object, if the information to be returned is of any of these types. The information object is responsible for invoking the destructor on these objects. The base class responds to no requests and will always return \(-1\).

Reimplemented from XC::Element.

update()

int XC::BeamWithHinges2d::update ( void  )

virtual

Updates the element state.

This method is invoked after the response quantities have been updated in the Domain, but not necessarily committed, e.g. during a non-linear Newton-Raphson solution algorithm. To return \(0\) if successful, a negative number if not. This base class implementation returns 0.

Reimplemented from XC::Element.

---

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

• src/domain/mesh/element/truss_beam_column/beamWithHinges/BeamWithHinges2d.h
• src/domain/mesh/element/truss_beam_column/beamWithHinges/BeamWithHinges2d.cpp