109 集中荷重を受ける両端固定ばりの最適化 : 解の性質の考察

抄録

An optimization problem of both-ends-clamped beam which is subjected to a concentrated load is considered. It had been shown in the previous report that the actual most suitable form within the same volume exists only under a certain specific condition that a load was in a limited central region of the span. In this paper, an iterative method that uses numerical integration is adopted. Through the comparison with the analytical solution, the characteristic of the optimum solution is discussed. It is found that there exist solutions in which the the deflection angle is discontinuous at the hinge points.