Techno Press
Techno Press

Structural Engineering and Mechanics   Volume 13, Number 2, February 2002, pages 135-154
Large displacement analysis of inelastic frame structures by convected meterial frame approach
Yaw-Jeng Chiou, Yeon-Kang Wang, Pang-An Hsiao and Yi-Lung Chen (R.O.C.)

Abstract     [Full Text]
    This paper presents the convected material frame approach to study the nonlinear behavior of
inelastic frame structures. The convected material frame approach is a modification of the co-rotational
approximation by incorporating an adaptive convected material frame in the basic definition of the
displacement vector and strain tensor. In the formulation, each discrete element is associated with a local
coordinate system that rotates and translates with the element. For each load increment, the corresponding
strain-displacement and nodal force-stress relationships are defined in the updated local coordinates, and
based on the updated element geometry. The rigid body motion and deformation displacements are
decoupled for each increment. This modified approach incorporates the geometrical nonlinearities through
the continuous updating of the material frame geometry. A generalized nonlinear function is used to
derive the inelastic constitutive relation and the kinematic hardening is considered. The equation of
motion is integrated by an explicit procedure and it involves only vector assemblage and vector storage in
the analysis by assuming a lumped mass matrix of diagonal form. Several numerical examples are
demonstrated in close agreement with the solutions obtained by the ANSYS code. Numerical studies show
that the proposed approach is capable of investigating large deflection of inelastic planar structures and
providing an excellent numerical performance.
Key Words
    convected material frame approach; explicit finite element analysis; inelastic frame structures.
Yaw- Jeng Chiou, Department of Civil Engineering, National Cheng Kung University, Tainan, Taiwan 701, R.O.C.
Yeon-Kang Wang, Department of Civil Engineering, Chung-Cheng Institute of Technology, National Defense University, Taoyuan, Taiwan 335, R.O.C.
Pang-An Hsiao and Yi-Lung Chen, Department of Civil Engineering, National Cheng Kung University, Tainan, Taiwan 701, R.O.C.

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