Research on improvement of transfer influence coefficient method combined with concept of substructure synthesis method

结合子结构综合法概念的传递影响系数法改进研究

基本信息

批准号：
07650298
负责人：
KONDOU Takahiro
金额：
$ 1.15万
依托单位：
Fukuoka Institute of Technology
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
1995
资助国家：
日本
起止时间：
1995 至 1996
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07650298/
关键词：
Free Vibration Forced Vibration Nonlinear Vibration Natural Frequency Multi-Degree-of-Freedom System Transfer Stiffness Coefficient Method Transfer Influence Coefficient Method Substructure Synthesis Method

项目摘要

In this research, the transfer stiffness coefficient method was developed in order to improve the computation efficiency and extend the applicability of the transfer influence coefficient method through introduction of the concept of the substructure synthesis method. The following results were obtained.1. The fundamental concept of the transfer stiffness coefficient method was formulated for linear free and linear forced vibration analyzes of a straight-line beam structure as the most fundamental example of use of the present method. The validity of the algorithm was confirmed by the numerical computational results from the viewpoints of both computation speed and memory size compared with those of the transfer matrix method and the transfer influence coefficient method.2. The transfer stiffness coefficient method was applied to the structure having closed loops which can not be analyzed by the transfer influence coefficients method at all. As an typical example, an algorithm based on … More the present method was formulated for the free and forced vibration analyzes of the 2-and 3-dimensional Rahmen structures constructed from some uniform beams. The superiority of the present method to the transfer matrix method was confirmed by the numerical computational results.3. The incremental transfer stiffness coefficient method was developed in order to analyze the periodic steady-state vibrations of the large scale structure having local nonlinear elements by combining the concepts of both the method of harmonic balance and the transfer stiffness coefficient method through the incremental method. An algorithm was formulated to analyze a straight-line beam structure supported by the nonlinear base support elements. The present method separates the structure into the linear beam elements and the nonliner base support elements, and the computation for the linear beam elements is eliminated entirely from the process of iterative approximation. The computation cost was reduced remarkably by applying the present method. Less

在这项研究中，开发了转移刚度核心方法，以提高计算效率，并通过引入子结构合成方法的概念来扩展转移影响核心方法的适用性。获得以下结果1。传递刚度核心方法的基本概念是针对直线束结构的线性和线性强制振动分析而制定的，这是本方法使用的最基本示例。与传输矩阵方法的数值和内存大小相比，从计算速度和内存大小的观点和传递影响系数方法的数值计算结果证实了该算法的有效性。2。将转移刚度系数方法应用于具有闭环的结构，该结构根本无法通过转移影响系数方法来分析。作为一个典型的例子，基于…更多的算法是针对由某些均匀梁构建的2和3维拉赫曼结构的自由和强制振动分析制定的。本方法对转移矩阵方法的优越性通过数值计算结果证实。3。开发了增量转移刚度系数方法，以通过结合谐波平衡方法和通过增量方法的转移刚度核心方法的概念来分析具有局部非线性元件的大规模结构的周期性稳态振动。制定了一种算法来分析由非线性碱基支撑元素支持的直线束结构。目前的方法将结构分离到线性束元件和非线器碱基支持元件中，而线性光束元件的计算完全从迭代近似过程中完全消除。通过应用当前方法可显着降低计算成本。较少的