基于DMAP的模态综合研究及实现

发布时间：2018-06-02 01:50

本文选题：模态综合法 + 柔性连接　；参考：《华中科技大学》2012年硕士论文

【摘要】：模态综合法是一种利用子结构的模态数据计算得到装配结构动特性的方法。其基本思想是将一个大型复杂结构根据结构特点划分成若干子结构。模态综合中子结构的模态既可以通过数值方法得到，也可以由试验数据拟合得到。为了推广模态综合法在工程中的应用，本文对模态综合法实现过程所涉及的理论与技术进行了研究，并开发了面向工程应用的模态综合求解系统。首先，本文对模态综合法的研究现状进行了总结。介绍了模态综合法的基本算法，推导出刚性连接下第二次坐标变换式的通式，分别求出固定界面法与自由界面法下的第二次坐标变换表达式。并对综合实现过程中柔性连接的处理方法进行了研究。本文还对模型缩聚和相关性分析的理论方法进行了研究。然后，本文研究了模态综合的实现技术，提出了一种基于DMAP和VC++的模态综合实现路线，开发了模态综合求解计算系统。本文在理论研究的基础上，利用Nastran可靠的矩阵计算能力，实现模态综合法的程序化。同时，系统还具备模型缩聚与相关性分析功能。本文根据模态综合计算、模型缩聚计算和相关性分析计算中用到的数据类型统一设计了数据结构并研究了实现这些计算功能过程中用到的关键算法流程。最后，本文对系统的计算功能进行了验证。结果表明，，本文的研究成果具备工程应用价值。
[Abstract]:The modal synthesis method is a method to calculate the dynamic characteristics of assembly structures by using the modal data of substructures. The basic idea is to divide a large complex structure into several substructures according to its structural characteristics. The modes of the modal synthesis neutron structure can be obtained either by numerical method or by fitting the experimental data. In order to extend the application of modal synthesis method in engineering, the theory and technology involved in the realization process of modal synthesis method are studied in this paper, and a modal synthesis solution system for engineering application is developed. Firstly, the research status of modal synthesis method is summarized in this paper. This paper introduces the basic algorithm of modal synthesis method, deduces the general formula of the second coordinate transformation formula under rigid connection, and calculates the second coordinate transformation expression under the fixed interface method and the free interface method respectively. The processing method of flexible connection in the process of synthesis implementation is also studied. The theoretical methods of model Polycondensation and correlation analysis are also studied in this paper. Then, this paper studies the realization technology of modal synthesis, puts forward a realization route of modal synthesis based on DMAP and VC, and develops a calculation system of modal synthesis solution. On the basis of theoretical research, this paper uses Nastran's reliable matrix computing ability to realize the programming of modal synthesis method. At the same time, the system also has the function of model condensation and correlation analysis. This paper designs the data structure according to the data types used in modal synthesis calculation, model condensation calculation and correlation analysis calculation, and studies the key algorithms used in the realization of these computing functions. Finally, the calculation function of the system is verified. The results show that the research results of this paper have engineering application value.
【学位授予单位】：华中科技大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：TH113

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