Optimization of Both-Ends-Clamped Beam Subjected to a Concentrated Load (Considering Characteristics of Solution)

Abstract

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 deflection angle is discontinuous at the hinge points.