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

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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