1976 年 19 巻 138 号 p. 1458-1466
In this paper, it is intended to establish a general method or algorithm for solving optimum structural design problems, in which natural frequencies are involved in objective functions and/or in conditions of constraints. The proposed method has wide adaptability to various geometries of structures, by making use of the large matrix method or the transfer matrix method for vibration analysis, after discretizing structures by finite-element idealization. As Rosen's gradient projection method is also employed for optimization. technique, the present method can be applied to structures having a number of constraints and design variables even in the case that consdtraints and objective functions appear in nonlinear forms. Moreover, it is found that the procedure given here, for evaluating gradients of frequency-involved quantities with respect to the design variables, can be utilized in any eigenvalue problems and for other optimization techniques.
JSME International Journal Series C Mechanical Systems, Machine Elements and Manufacturing
JSME International Journal Series B Fluids and Thermal Engineering
JSME International Journal Series A Solid Mechanics and Material Engineering
JSME international journal. Ser. C, Dynamics, control, robotics, design and manufacturing
JSME international journal. Ser. 3, Vibration, control engineering, engineering for industry
JSME international journal. Ser. A, Mechanics and material engineering
JSME international journal. Ser. 1, Solid mechanics, strength of materials