杆系结构稳定分析

发布时间：2018-01-10 14:12

本文关键词：杆系结构稳定分析　出处：《大连理工大学》2013年硕士论文　论文类型：学位论文

【摘要】：本文主要讨论了稳定性分析中的相关理论,并研究了以小变形桁架和双肢缀条格构式柱为代表的杆系结构的稳定性能。主要内容有三部分： 1.采用两种基于精确二阶理论所推导的平面梁单元刚度矩阵,阐述了轴力的二阶效应及有限元对超静定桁架临界荷载判断失误的原因。此外,还进一步讨论了利用特征值理论求解临界荷载的问题。 2.利用临界荷载屈曲理论与ANSYS特征值模块相结合的方式求解了小变形桁架的整体失稳临界荷载。给出了一种简易的计算方法,通过算例验证了该方法可以用于局部杆件屈曲累积致结构整体失稳的临界荷载求解问题。 3.建立了四种双肢缀条格构式柱有限元模型,利用ANSYS非线性屈曲分析的方法,对比了不同缀条布设方式和缺陷对弹性双肢缀条柱的稳定性影响。对比了钢结构设计规范和ANSYS弹塑性分析下双肢缀条柱的临界荷载。
[Abstract]:This paper mainly discusses the relevant theory of stability analysis, and studies the stability performance of truss with small deformation and double-leg lattice column. There are three main contents: 1. By using two kinds of stiffness matrix of plane beam element based on exact second-order theory, the second order effect of axial force and the reason of failure of finite element to judge critical load of statically indeterminate truss are expounded. The problem of using eigenvalue theory to solve critical load is also discussed. 2. The critical load of small deformable truss is solved by combining the critical load buckling theory with the ANSYS eigenvalue module, and a simple calculation method is given. An example is given to verify that the method can be used to solve the critical load problem of the cumulative buckling of local member structures. 3. Four kinds of finite element models of double-leg latticed column are established, and the nonlinear buckling analysis method of ANSYS is used. The effects of different splicing modes and defects on the stability of elastic double-legged columns are compared, and the critical loads of double-legged columns under the design code for steel structures and ANSYS elastic-plastic analysis are compared.
【学位授予单位】：大连理工大学
【学位级别】：硕士
【学位授予年份】：2013
【分类号】：TU32;TU311.2

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