1989 年 55 巻 510 号 p. 281-285
A previously developed optimization technique is extended to determine the optimal support positions of continuous beams. An object function is the fundamental frequency of the beams of variable cross section, and design variables are the positions of several elastic springs. The transfer matrix approach is used to yield frequency equations, and a gradient method is used to find optimal solutions. In numerical examples, linearly tapered and stepped thickness beams are considered.