含铰接杆系结构几何非线性分析子结构方法

王刚; 齐朝晖; 汪菁

doi:10.6052/0459-1879-13-345

含铰接杆系结构几何非线性分析子结构方法

doi: 10.6052/0459-1879-13-345

大连理工大学工业装备结构分析国家重点实验室, 大连 116024

基金项目: 国家自然科学基金资助项目（11372057）.

详细信息

作者简介:
齐朝晖，教授，主要研究方向：多体系统动力学、结构力学.E-mail：zhaohuiq@dlut.edu.cn

中图分类号: O342;TH213.7
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出版历程
- 收稿日期: 2013-10-16
- 修回日期: 2013-12-09
- 刊出日期: 2014-03-18

SUBSTRUCTURE METHODS OF GEOMETRIC NONLINEAR ANALYSIS FOR MEMBER STRUCTURES WITH HINGED SUPPORTS

State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China

Funds: The project was supported by the National Natural Science Foundation of China (11372057).

摘要

摘要: 将细长杆系结构按长度方向划分为多个子结构，由于在子结构坐标系下的节点位移均是小位移，可以将子结构内部自由度凝聚到边界. 考虑到子结构端面在变形过程中保持为刚性截面，将端面节点自由度进一步凝聚到端面形心点，这样每一个子结构就减缩成形式上只有两个节点的广义梁单元，大大减缩了自由度. 大位移大转动是细长杆系结构产生几何非线性效应的一个重要原因，基于共旋坐标法，建立了随单元一起运动的随动坐标系，推导了子结构单元的节点力平衡方程及其切线刚度阵. 同时，考虑到工程机械中细长杆系结构含有相互铰接的刚体加强块，给出了非独立自由度节点力转换到独立参数下的广义节点力及其导数. 最后，通过履带式起重机的副臂工况算例，给出了其在不同载荷下的臂架结构位移，验证了方法的正确性.
- 细长杆系结构 /
- 子结构凝聚 /
- 刚体铰接 /
- 几何非线性 /
- 共旋坐标法 /
- 履带式起重机
Abstract: Along the longitudinal direction, a slender truss structure is divided into several substructures. Due to that the nodal displacements are small in the embedded coordinate systems of substructures, the degrees of freedom of the internal nodes can be reduced to the ones of the interface nodes. Considering that the left and right ends of the substructure remain rigid sections during deformation, the interface nodal displacements would be reduced to the ones of the section central points. Each substructure would be reduced to be a generalized two-node beam element, in which the degree of freedom would be reduced sharply. Large displacement and rotation are important causes of the geometric nonlinearity of slender member structures. Based on the co-rotational method, an embedded coordinate system is defined, and the equilibrium equations of nodal forces for substructure elements and the tangential stiffness matrix are formulated. Taking into account of slender truss structures containing mutually hinged rigid bodies in the actual construction machinery, the convention of the nodal forces and their derivatives with respect to the independent and non-independent degrees of freedom are formulated. At last, numerical examples of sub-arm condition for crawler cranes are presented, in which the displacements of the boom structures under different load conditions are obtained. The numerical examples prove the validity of the presented method.
- slender truss structure /
- substructure reduction /
- rigid bodies hinged /
- geometric nonlinearity /
- co-rotational method /
- crawler cranes

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