Geometry > GeomTran_2dFrm


GeomTran_2dFrm

Purpose

kinematic matrices and deformations for a 2-node 2d frame element

Synopsis

[ag,bg,ab,v,Dv,DDv] = GeomTran_2dFrm (option,xyz,GeomData,u,Du,DDu)

Description

GEOMTRAN_2dFRM kinematic matrices and deformations for a 2-node 2d frame element
  [AG,BG,AB,V,DV,DDV] = GEOMTRAN_2dFRM (OPTION,XYZ,GEOMDATA,U,DU,DDU)
  the function determines the kinematic matrix AG from the global to the basic reference system,
  the static matrix BG from the basic to the global reference system, 
  and the kinematic matrix AB from the global to the local reference system
  as well as the element deformation vector V and its increments DV and DDV
  from the node displacement array U and its increments DU and DDU
  for a 2-node 2d frame element with end node coordinates XYZ;
  OPTION is a character variable with one of three values:
  'linear','PDelta' and 'corotational' for linear, P-Delta and corotational geometry, resp.
  GEOMDATA is a data structure with information about rigid joint offsets in field JNTOFF,
  (first column for node i, second column for node j)

Cross-Reference Information

This function calls:

  • ElmLenOr element length and x-axis orientation (direction cosines)
  • Large2du2v_Frm determine 2d frame element deformations from end displacements
  • TranJnt sets up transformation matrix for finite size joints
This function is called by:
  • Inel2dFrm inelastic 2d frame element with different basic element types
  • Dinel2dFrm_EBwDF 2d-frame element with distributed inelasticity (displacement formulation)
  • Dinel2dFrm_EBwFF 2d-frame element with distributed inelasticity (force formulation)
  • LE2dFrm 2d LE frame element under linear or nonlinear geometry
  • LE2dFrm_w2ndOrdDF 2d LE frame element with moderate deformations under linear or NL geometry
  • LE2dFrm_w2ndOrdFF 2d LE frame element with moderate deformations under linear or NL geometry
  • LE2dFrm_wPdelta 2d linear elastic frame element with P-delta effect under linear or nonlinear geometry
  • LE2dFrm_wVarIDF 2d LE frame element with variable cross section under linear or NL geometry
  • LE2dFrm_wVarIFF 2d LE frame element with variable cross section under linear or NL geometry
  • Get_StShear determine the story shears for moment resisting frame