LESM
Class Elem

LESM.Elem

Direct Known Subclasses:

Elem_Navier, Elem_Timoshenko

public abstract class Elem

Abstract super-class that generically defines a linear structure element object in the LESM program

• Elem

Field Summary

(package private) Anm	anm Handle to an object of the Anm class
(package private) double[]	axial_force Array of internal axial forces at element ends
(package private) double[]	bending_moment_Y Array of internal bending moments at element ends in local y-axis
(package private) double[]	bending_moment_Z Array of internal bending moments at element ends in local z-axis
(package private) double	cosine_X Cosine of orientation angle with global X-axis
(package private) double	cosine_Y Cosine of orientation angle with global Y-axis
(package private) double	cosine_Z Cosine of orientation angle with global Z-axis
(package private) double[]	fel_distribLoad Fixed end forces in local system for a distributed load
(package private) double[]	fel_thermalLoad Fixed end forces in local system for a thermal load
(package private) int[]	gle Gather vector (stores element degrees of freedom eqn numbers)
(package private) int	hingef Flag for rotation liberation at final node
(package private) int	hingei Flag for rotation liberation at initial node
(package private) double[][]	intDispl Array of axial and transversal internal displacements
(package private) double[][]	kel Stiffness matrix in local system
(package private) double	length Element length
(package private) Lelem	load Handle to an object of the Lelem class
(package private) Material	material Handle to an object of the Material class
(package private) int	nen Number of nodes
(package private) Node[]	nodes Vector of handles to objects of the Node class
(package private) double[][]	rot Rotation transformation matrix from global system to local system
(package private) Section	section Handle to an object of the Section class
(package private) double[]	shear_force_Y Array of internal shear forces at element ends in local y-axis
(package private) double[]	shear_force_Z Array of internal shear forces at element ends in local z-axis
(package private) double[][]	T Basis rotation transformation matrix between two coordinate systems
(package private) double[]	torsion_moment Array of internal torsional moments at element ends
(package private) int	type Flag for type of element (Euller-Bernoulli or Timoshenko)
(package private) double[]	vz Auxiliary vector in local xz-plane

Method Summary

double[]	axialDisplShapeFcnVector(double x) Evaluates element axial displacement shape functions
double[][]	axialStiffCoeff() Generates element axial stiffness coefficient matrix
void	clean() Destructor method
Elem	Elem() Constructor method
abstract double[]	flexuralDisplShapeFcnVector_XY(double x) Evaluates element flexural displacement shape functions in local xy-plane
abstract double[]	flexuralDisplShapeFcnVector_XZ(double x) Evaluates element flexural displacement shape functions in local xz-plane
abstract double[][]	flexuralStiffCoeff_XY() Generates element flexural stiffness coefficient matrix in local xy-plane
abstract double[][]	flexuralStiffCoeff_XZ() Generates element flexural stiffness coefficient matrix in local xz-plane
double[]	gblAnlIntDispl(Drv drv, double x) Computes element internal displacements from global analysis
double[]	gblAnlIntForce(Drv drv) Computes element internal force vector, in local system, from global analysis
double[][]	gblStiffMtx() Computes element stiffness matrix in global system
double[][]	rotTransfMtx() Computes basis rotation transformation matrix between two coordinate systems
double[][]	torsionStiffCoeff() Generates element torsion stiffness coefficient matrix

Field Detail

nen

int nen

Number of nodes

type

int type

Flag for type of element (Euller-Bernoulli or Timoshenko)

anm

Anm anm

Handle to an object of the Anm class

load

Lelem load

Handle to an object of the Lelem class

material

Material material

Handle to an object of the Material class

section

Section section

Handle to an object of the Section class

nodes

Node[] nodes

Vector of handles to objects of the Node class

hingei

int hingei

Flag for rotation liberation at initial node

hingef

int hingef

Flag for rotation liberation at final node

length

double length

Element length

cosine_X

double cosine_X

Cosine of orientation angle with global X-axis

cosine_Y

double cosine_Y

Cosine of orientation angle with global Y-axis

cosine_Z

double cosine_Z

Cosine of orientation angle with global Z-axis

vz

double[] vz

Auxiliary vector in local xz-plane

gle

int[] gle

Gather vector (stores element degrees of freedom eqn numbers)

T

double[][] T

Basis rotation transformation matrix between two coordinate systems

rot

double[][] rot

Rotation transformation matrix from global system to local system

kel

double[][] kel

Stiffness matrix in local system

fel_distribLoad

double[] fel_distribLoad

Fixed end forces in local system for a distributed load

fel_thermalLoad

double[] fel_thermalLoad

Fixed end forces in local system for a thermal load

axial_force

double[] axial_force

Array of internal axial forces at element ends

shear_force_Y

double[] shear_force_Y

Array of internal shear forces at element ends in local y-axis

shear_force_Z

double[] shear_force_Z

Array of internal shear forces at element ends in local z-axis

bending_moment_Y

double[] bending_moment_Y

Array of internal bending moments at element ends in local y-axis

bending_moment_Z

double[] bending_moment_Z

Array of internal bending moments at element ends in local z-axis

torsion_moment

double[] torsion_moment

Array of internal torsional moments at element ends

intDispl

double[][] intDispl

Array of axial and transversal internal displacements

Method Detail

Elem

public Elem Elem()

Constructor method

flexuralStiffCoeff_XY

public abstract double[][] flexuralStiffCoeff_XY()

Generates element flexural stiffness coefficient matrix in local xy-plane

flexuralStiffCoeff_XZ

public abstract double[][] flexuralStiffCoeff_XZ()

Generates element flexural stiffness coefficient matrix in local xz-plane

flexuralDisplShapeFcnVector_XY

public abstract double[] flexuralDisplShapeFcnVector_XY(double x)

Evaluates element flexural displacement shape functions in local xy-plane

flexuralDisplShapeFcnVector_XZ

public abstract double[] flexuralDisplShapeFcnVector_XZ(double x)

Evaluates element flexural displacement shape functions in local xz-plane

rotTransfMtx

public double[][] rotTransfMtx()

Computes basis rotation transformation matrix between two coordinate systems

gblStiffMtx

public double[][] gblStiffMtx()

Computes element stiffness matrix in global system

axialStiffCoeff

public double[][] axialStiffCoeff()

Generates element axial stiffness coefficient matrix

torsionStiffCoeff

public double[][] torsionStiffCoeff()

Generates element torsion stiffness coefficient matrix

gblAnlIntForce

public double[] gblAnlIntForce(Drv drv)

Computes element internal force vector, in local system, from global analysis

axialDisplShapeFcnVector

public double[] axialDisplShapeFcnVector(double x)

Evaluates element axial displacement shape functions

gblAnlIntDispl

public double[] gblAnlIntDispl(Drv drv,
                               double x)

Computes element internal displacements from global analysis

clean

public void clean()

Destructor method