基于离散变量网架结构优化设计研究

发布时间：2018-03-31 13:48

本文选题：离散变量　切入点：差商法　出处：《江苏大学》2006年硕士论文

【摘要】：网架结构作为典型的空间结构，最近几年在我们国家得到了广泛的应用。本文对网架结构的受力性能和机理进行了分析。本文采用有限单元法进行网架结构的静力性能分析。在进行地震反应分析时，采用了振型分解反应谱法和时程分析法，对两种方法计算的结果进行了比较和分析。通过两种方法的比较，采用振型分解法对网架结构进行地震反应分析是可靠的，具有更大的安全可靠性。网架结构是由离散的杆件组成的。针对离散变量结构的特点，本文采用差商法对网架结构进行优化设计。对网架结构在静力荷载作用以及地震荷载作用下进行了优化设计。优化设计过程中，采用二阶段法，即第一级优化处理局部变量约束——应力约束；第二级优化处理全局变量约束——位移约束。针对传统差商法迭代效率低的现状，本文提出了全新的改进差商法，提高了优化效率。最后，本文以大型通用有限元软件ANSYS为平台，结合本优化设计方法，对软件进行了二次开发，，实现了优化设计程序的软件化。通过对某体育馆网架结构的优化设计示例，证明了本优化设计方法的有效性和可行性。
[Abstract]:As a typical spatial structure, truss structure has been widely used in our country in recent years. In this paper, the mechanical properties and mechanism of space truss structures are analyzed. In this paper, the static behavior of grid structures is analyzed by finite element method. In seismic response analysis, the mode decomposition response spectrum method and time history analysis method are used. The results of the two methods are compared and analyzed. Through the comparison of the two methods, the seismic response analysis of the grid structure by using the mode decomposition method is reliable and has greater safety and reliability. The grid structure is made up of discrete members. According to the characteristics of discrete variable structure, In this paper, the difference quotient method is used to optimize the design of the space truss structure. The optimum design of the space truss structure under static and seismic loads is carried out. In the process of optimization design, the two-stage method is used. That is, the first stage optimizes the local variable constraint-stress constraint; the second stage optimizes the global variable constraint-displacement constraint. In view of the low iterative efficiency of the traditional difference quotient method, a new improved difference quotient method is proposed in this paper, which improves the optimization efficiency. Finally, on the platform of ANSYS, combined with the optimization design method, the software is redeveloped to realize the software of optimization design. Through the example of the optimization design of a gymnasium grid structure, The effectiveness and feasibility of the method are proved.
【学位授予单位】：江苏大学
【学位级别】：硕士
【学位授予年份】：2006
【分类号】：TU356

【引证文献】