Structural Responses to Moving Forces Determined by Reciprocity Relations

Reciprocity relations are valid also for dynamic problems (Fung, reference 1]). In this paper, the reciprocity relation is first used to determine the response of a simply supported beam subjected lo an arbitrarily time-varying force moving with constant speed. Then the reciprocity relation is used to determine the response of a beam-like structure (a beam on mass-spring supports, a model of a railroad) subjected to a moving constant force. Numerical solutions, including also a pair of moving forces, are given.