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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.

References:

[1] 肖汝诚.桥梁结构分析及程序系统[M].北京:人民交通出版社,2002.
[2]吕和祥,朱菊芬,马莉颖.大转动梁的几何非线性分析讨论[J].计算结构力学及其应用,1995,12(4):485-490. LU He-xiang,ZHU Ju-fen,MA Li-ying.Discussion of analyzing of geometric non-linear beams with large rotations[J].Chinese Journal of Computational Mechanics,1995,12(4):485-490.
[3]Fleming J F.Nonlinear static analysis of cable-stayed bridge structures[J].Computers and Structures,1979,10(4):621-635.
[4]王斌华,邵雨虹,吕彭民.基于ANSYS的450 t提梁机结构有限元分析[J].筑路机械与施工机械化,2011,28(6):74-77. WANG Bin-hua,SHAO Yu-hong,LU Peng-min.Finite element analysis of 450 t girder hoisting machine's structure based on ANSYS[J].Road Machinery & Construction Mechanization,2011,28(6):74-77.
[5]黄 文,李明瑞,黄文彬.杆系结构的几何非线性分析-Ⅰ:平面问题[J].计算结构力学及其应用,1995,12(1):7-16. HUANG Wen,LI Ming-rui,HUANG Wen-bin.Geometric non-linear analysis of frame structures-Ⅰ:dimensional problem[J].Chinese Journal of Computational Mechanics,1995,12(1):7-16.
[6]Jelenic G,Crisfield M A.Non-linear ‘master-slave' relationships for joints in 3-D beams with large rotations[J].Computer Methods in Applied Mechanics and Engineering,1996,135(3/4):211-228.
[7]王新敏.ANSYS工程结构数值分析[M].北京:人民交通出版社,2007.
[8]朱慈勉,汪 榴,江利仁,等.计算结构力学[M].上海:上海科学技术出版社,1992.
[9]朱伯芳.有限单元法原理与应用[M].北京:中国水利水电出版社,1998.
[10]陈至达.杆、板、壳大变形理论[M].北京:科学出版社,1994.

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Last Update: 2012-08-20