DeformShape3dFrm_wCurvIntp

Purpose

deformed shape of 3d frame element from curvatures

Synopsis

[XYZd,xyzd] = DeformShape3dFrm_wCurvIntp (xyz,ElemData,u,EPost,MAGF,nsub)

Description

DEFORMSHAPE3dFRM_wCURVINTP deformed shape of 3d frame element from curvatures
  [XYd,xyd] = DEFORMSHAPE3dFRM_wCURVINTP (XYZ,ELEMDATA,U,KAPPA,MAGF,NSUB)
  The function returns the global coordinates of the magnified deformed shape
  of a 3d frame element under large end displacements in array XYd,
  and the local coordinates of the magnified deformed shape in array xyd.
  Input arguments are the end node coordinates in array XYZ, the element
  properties in cell array ELEMDATA, the end displacements in vector U,
  and the data structure EPOST with information about the curvatures KAPPAz
  KAPPAy along the element axis in fields Sec{iP}.e(2) and Sec{iP}.e(3).
  Optional arguments are the magnification factor MAGF (default=10)
  and the number of intermediate points NSUB (default=100) for the deformed shape.
  The function uses double integration of the interpolation polynomial
  of the curvatures at the integration points.
  (reference: Neuenhofer/Filippou, ASCE, JSE, June 1998, pp. 704-711)

Cross-Reference Information

This function calls:

• DefGeom_3dFrm determines current length and corotational triad of 2-node, 3d frame element
• ElmLenOr element length and x-axis orientation (direction cosines)
• TranJnt sets up transformation matrix for finite size joints