The New Algorithm of Equivalent Transformation from Dynamic Loads Based on Energy

Abstract

In this paper, we researched and put forward a novel algorithm named equivalent static transformation based on strain energy in the loading process. The algorithm could reduce the working time and make the dynamic analysis and optimization simpler. In order to verify advantage of the method, first, we investigated the strain energy dependence of the load when the structure deformation occurred during loading process theoretically. Then, we identified the key point according to spectral element discrete of the solution space, on which the dynamic load reached its maximum. Thirdly, on the key point, we proposed the model of equivalent static transformation from dynamic loading process, and gave the solution of finding this equivalent static load using DIRECT algorithm. Finally, we analyzed the 10-bar, 124-bar and 2-storey trusses mechanical system under various dynamic loading using this algorithm, and we found that the algorithm was valid on equivalent static transformation.