beamgen3d Class Reference

#include <beamgen3d.h>

Public Member Functions
void	beam_transf_matrix (matrix &tmat, double &dl, vector &vec, vector &x, vector &y, vector &z, long eid)
	beamgen3d (void)
void	bf_matrix (matrix &n, double s, double dl, double gy, double gz)
void	ck_matrix (matrix &ck, double s, double c, double eh, double dl)
void	geom_matrix (matrix &n, double s, double dl, double gy, double gz)
void	internal_forces (long lcid, long eid, long ri, long ci, vector &ifor)
void	internal_forces1 (long lcid, long eid, long ri, long ci, vector &ifor)
void	load_matrix (long eid, matrix &lm)
void	nodal_displ (long eid, long lcid)
void	nodal_forces (long eid, long lcid)
void	res_internal_forces (long lcid, long eid, vector &ifor)
void	res_stiffness_matrix (long eid, matrix &sm)
void	stiffness_matrix (long eid, long ri, long ci, matrix &sm)
void	stiffness_matrixtor (matrix &sm, double dl, double e, double g, double gy, double gz, double ixyz, double ioyz)
void	stiffness_matrixtor1 (matrix &sm, double dl, double e, double g, double gy, double gz, double ixyz, double ioyz)
void	stiffness_matrixtor2 (matrix &sm, double dl, double e, double g, double gy, double gz, double ixyz, double ioyz, double *iro)
void	transf_matrix (ivector &nodes, matrix &tmat)
	~beamgen3d (void)
Public Attributes
long *	cncomp
	array containing cumulative numbers of components of stress and strain tensors
long	intordism
	order of integration of initial stress matrix
long	intordmm
	order of integration of mass matrix
long **	intordsm
	order of integration of stiffness matrix
long	napfun
	number of approximated functions on the element
long	nb
	number of blocks
long *	ncomp
	array containing numbers of components of stress and strain tensors
long	ndofe
	number of DOFs on the element
long **	nip
	array of numbers of integration points in sets
long	nne
	number of nodes on one element
strastrestate	ssst
	stress/strain state
long	tncomp
	total number of components of stress and strain tensors
long	tnip
	total number of integration points

Detailed Description

class beamgen3d describes threedimensional beam with general cross section where centre of shear may be different from center of gravity

PF, 2.10.2006

Definition at line 17 of file beamgen3d.h.

Constructor & Destructor Documentation

beamgen3d ( void )

Definition at line 11 of file beamgen3d.cpp.

References cncomp, intordism, intordmm, intordsm, napfun, nb, ncomp, ndofe, nip, nne, spacebeam, ssst, tncomp, and tnip.

~beamgen3d ( void )

Definition at line 44 of file beamgen3d.cpp.

References nb, and nip.

Member Function Documentation

void beam_transf_matrix	(	matrix &	tmat,
		double &	dl,
		vector &	vec,
		vector &	x,
		vector &	y,
		vector &	z,
		long	eid
	)

function assembles transformation matrix from local to global system x_g = T x_l

columns of the transformation matrix are created by coordinates of local base vectors expressed in global system

Parameters:

	tmat	- transformation matrix
	dl	- lenght of the beam
	vec	- direction vector of local axis z (in global coordinates)
	x,y,z	- vectors of nodal coordinates in global system
	eid	- element id

JK, 3.2.2002, revised 1.9.2006

Definition at line 105 of file beamgen3d.cpp.

References fillm().

Referenced by internal_forces(), internal_forces1(), load_matrix(), nodal_displ(), nodal_forces(), and stiffness_matrix().

void bf_matrix	(	matrix &	n,
		double	s,
		double	dl,
		double	gy,
		double	gz
	)

function assembles matrix of approximation functions

ordering of approximation functions u v w- displacement along x,y,z fix,fiy,fiz - rotation around x,y,z

Parameters:

	n	- matrix of approximation functions
	s	- natural coordinate from segment <0;1>
	dl	- length of the beam
	gy	- 6.0EI_y/k/G/A/l/l
	gz	- 6.0EI_z/k/G/A/l/l

PF, 20.9.2006

Definition at line 311 of file beamgen3d.cpp.

References ll.

Referenced by load_matrix().

void ck_matrix	(	matrix &	ck,
		double	s,
		double	c,
		double	eh,
		double	dl
	)

Definition at line 205 of file beamgen3d.cpp.

References fillm().

Referenced by internal_forces(), and stiffness_matrixtor().

void geom_matrix	(	matrix &	n,
		double	s,
		double	dl,
		double	gy,
		double	gz
	)

function assembles geometric matrix (function assembles matrix of derivatives of approximation functions)

ordering of approximation functions

du/dx - strain e_xx phi+dv/dx - strain e_yz phi+dw/dx - strain e_xz dphix/dx - curvature dphiy/dx - curvature dphiz/dx - curvature

Parameters:

	n	- array containing geometric matrix
	s	- natural coordinate from segment <0;1>
	dl	- length of the beam
	gy	- 6.0EI_y/k/G/A/l/l
	gz	- 6.0EI_z/k/G/A/l/l

PF, 20.9.2006

Definition at line 259 of file beamgen3d.cpp.

References fillm(), and ll.

void internal_forces	(	long	lcid,
		long	eid,
		long	ri,
		long	ci,
		vector &	ifor
	)

!! Mc->give_iomega (eid,ioyz);

Definition at line 1018 of file beamgen3d.cpp.

References beam_transf_matrix(), ck_matrix(), copyv(), eldispl(), mechtop::elements, f, fillm(), g, mechcrsec::give_area(), mechtop::give_elemnodes(), mechcrsec::give_mominer(), mechtop::give_node_coord3d(), mechcrsec::give_shearcoeff(), mechcrsec::give_vectorlcs(), element::ipp, lgvectortransf(), ll, mechtop::locsystems(), mechmat::matstiff(), Mc, Mm, Mp, Mt, mxv(), ndofe, nne, nodes, Out, rl, tncomp, transf_matrix(), and probdesc::zero.

Referenced by nodal_forces().

void internal_forces1	(	long	lcid,
		long	eid,
		long	ri,
		long	ci,
		vector &	ifor
	)

Definition at line 1204 of file beamgen3d.cpp.

References beam_transf_matrix(), copyv(), eldispl(), mechtop::elements, f, fillm(), g, mechcrsec::give_area(), mechtop::give_elemnodes(), mechcrsec::give_mominer(), mechtop::give_node_coord3d(), mechcrsec::give_shearcoeff(), mechcrsec::give_vectorlcs(), element::ipp, lgvectortransf(), ll, mechtop::locsystems(), mechmat::matstiff(), Mc, Mm, Mp, Mt, mxv(), ndofe, nne, nodes, Out, rl, tncomp, transf_matrix(), and probdesc::zero.

Referenced by res_internal_forces().

void load_matrix	(	long	eid,
		matrix &	lm
	)

function serves for computation of nodal forces and moments caused by body load

Parameters:

	eid	- element id
	lm	- load matrix

PF, 1.9.2006

Definition at line 790 of file beamgen3d.cpp.

References matrix::a, beam_transf_matrix(), bf_matrix(), mechtop::elements, fillm(), g, gauss_points(), mechcrsec::give_area(), mechtop::give_elemnodes(), mechcrsec::give_mominer(), mechtop::give_node_coord3d(), mechcrsec::give_shearcoeff(), mechcrsec::give_vectorlcs(), glmatrixtransf(), intordmm, element::ipp, jac_1d(), mechtop::locsystems(), mechmat::matstiff(), Mc, Mm, Mp, Mt, napfun, ndofe, nne, nnj(), nodes, tncomp, transf_matrix(), and probdesc::zero.

void nodal_displ	(	long	eid,
		long	lcid
	)

function stores nodal displacements and rotations in local coordinate system this is equivalent to functions computing strains nodal displacements and rotations are better quantities in case of beams

Parameters:

	eid	- element id
	lcid	- load case id

PF, 20.9.2006

Definition at line 877 of file beamgen3d.cpp.

References beam_transf_matrix(), copyv(), eldispl(), mechtop::elements, f, mechtop::give_elemnodes(), mechtop::give_node_coord3d(), mechcrsec::give_vectorlcs(), element::ipp, mechtop::locsystems(), Mc, Mm, Mt, mtxv(), ndofe, nne, nodes, mechmat::storestrain(), and transf_matrix().

Referenced by compute_ipstrains().

void nodal_forces	(	long	eid,
		long	lcid
	)

function computes nodal forces and moments expressed in local coodinate system this is equivalent to functions computing stresses nodal forces and moments are better quantities in case of beams

x-axis goes through the beam z-axis is defined in cross section y-axis is defined by right hand orientation

Parameters: