Development of Sensitivity Analysis Algorithm for a Straight-Line Beam Structure by the Transfer Stiffness Coefficient Method

摘要

This paper describes the sensitivity analysis algorithm extending the concept of the transfer stiffness coefficient method (TSCM) which is suitable to analyze accurately vibrations of complex and large structures on a personal computer with small computer memories. This sensitivity analysis algorithm is based on the concept transferring the sensitivities of the stiffness coefficient with respect to design parameters. In this paper, the free vibration analysis algorithm by the TSCM for a straight-line structure is shortly introduced and the free vibration sensitivity analysis algorithm is formulated by the present method. To demonstrate the validity of the present method, a straight-line beam structure with various boundary conditions is proposed as a numerical example. Eigenvalues and eigenvectors and their derivatives for the beam obtained by the present method are compared with those of the Fox's method and the reanalysis on a personal computer.