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Geometric nonlinear finite element analysis of plane beam element with hinge(PDF)

长安大学学报（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

Issue:
2012年03期
Page:
68-72
Research Field:
桥梁与隧道工程
Publishing date:

Info

Title:
Geometric nonlinear finite element analysis of plane beam element with hinge
Author(s):
DENG Ji-hua1;  SHAO Xu-dong2
1. School of Civil Engineering and Architecture, Changsha University of Science and Technology, Changsha 410076, Hunan, China; 2. School of Civil Engineering, Hunan University, Changsha 410082, Hunan, China
Keywords:
bridge engineering;  plane beam element;  hinge;  geometric nonlinear;  differentiation method;  tangent stiffness matrix
PACS:
U441
DOI:
-
Abstract:
Aimed at the situation of less research results about geometric nonlinear tangent stiffness matrix of plane beam element with hinge, starting from the element stiffness matrix of local coordinate system(co-rotational coordinate system), the non-linear tangent stiffness matrix of the plane beam element in large but small-strained displacement was derived based on total and increment relation of nodal forces and displacements between local coordinate system and global coordinate system, the increment relation of nodal forces and displacements was achieved by differential method. The results show that this method can reflect the change of variables. According to the mechanical characteristics of hinged beam, an explicit expression of the non-linear tangent stiffness matrix was derived to consider the effect of hinged beam. A computer program was developed to analyze the geometrical nonlinear behavior of several classic examples with hinges. The results verify the practical value of the proposed innovative element. 5 figs, 10 refs.

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Last Update: 2012-08-20