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

本研究通过引入子结构综合法的概念，提出了传递刚度系数法，以提高计算效率，扩展传递影响系数法的适用性，得到了以下结果： 1．为直线梁结构的线性自由和线性受迫振动巢制定了传递刚度系数法，作为该方法最基本的应用实例，数值计算结果从多个角度证实了该算法的有效性。与相比，计算速度和内存大小2．传递刚度系数法适用于无法用传递影响系数法分析的闭环结构。本方法是针对由一些均匀梁构造的 2 维和 3 维 Rahmen 结构的自由振动巢和受迫振动巢制定的。数值计算结果证实了本方法相对于传递矩阵方法的优越性。 3.增量传递刚度系数法为为了分析具有局部非线性元素的大型结构的周期性稳态振动，通过增量法结合谐波平衡法和传递刚度系数法的概念，制定了一种分析直线的算法。非线性基础支撑单元支撑的线梁结构将结构分为线性梁单元和非线性基础支撑单元，并且在迭代近似过程中完全消除了线性梁单元的计算。通过应用本方法减少了。