The non-linear analysis for plane truss element with rigid arms based on UL formulation
Shao Xu-dong
Abstract
Shao Xu-dong
Abstract
A UL formulation is proposed to address the nonlinear analysis of plane truss element with rigid arms in this paper.According to the characteristics of the motion and deformation of a rigid-ended plane truss element,an expression of non-linear tangent stiffness matrix is derived by UL procedure.A computer program is developed to analyze the geometrical nonlinear behavior of the plane truss with and without rigid arm.The results demonstrate that the proposed innovative element and algorithm are efficient and accurate together with satisfied convergence,and illustrate promising applicability for practical projects.
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A UL formulation is proposed to address the nonlinear analysis of plane truss element with rigid arms in this paper.According to the characteristics of the motion and deformation of a rigid-ended plane truss element,an expression of non-linear tangent stiffness matrix is derived by UL procedure.A computer program is developed to analyze the geometrical nonlinear behavior of the plane truss with and without rigid arm.The results demonstrate that the proposed innovative element and algorithm are efficient and accurate together with satisfied convergence,and illustrate promising applicability for practical projects.
Key concepts: Truss, Tangent stiffness matrix, Tangent, Plane (geometry), Stiffness matrix, Finite element method, Nonlinear system, Stiffness