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

为了提高传递影响系数法的计算效率和扩大其适用范围，本文引入子结构综合法的概念，发展了传递刚度系数法。得到以下结果.传递刚度系数法的基本概念被制定为线性自由和线性强迫振动分析的直线梁结构作为最基本的例子使用本方法。数值计算结果从计算速度和存储量两个方面与传递矩阵法和传递影响系数法进行了比较，验证了该算法的有效性.对于传递影响系数法无法分析的具有闭合环的结构，采用传递刚度系数法进行分析。作为一个典型的例子， ...更多信息 本文提出的方法可用于由均匀梁构成的二维和三维Rahmen结构的自由和强迫振动分析。数值计算结果证实了该方法相对于传递矩阵法的优越性.为了分析具有局部非线性元件的大型结构的周期稳态振动，通过增量法将谐波平衡法和传递刚度系数法的概念结合起来，提出了增量传递刚度系数法。提出了一种分析由非线性基础支承单元支承的直线梁结构的算法。该方法将结构分解为线性梁单元和非线性基础单元，将线性梁单元的计算完全从迭代逼近过程中省去。该方法的应用大大降低了计算量。少

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