A Fast Calculation Method for Sensitivity Analysis Using Matrix Decomposition Technique

The sensitivity reanalysis technique is an important tool for selecting the search direction in structural optimization design. Based on decomposition perturbation of flexibility matrix, a fast and exact displacement method proposed this work. For purpose, direct formulas computing first-order second-order sensitivities displacements are derived. algorithm can be applied to variety modifications optimal design, including low-rank modifications, high-rank small large modifications. Two numerical examples given verify effectiveness approach. results show that presented effective. Compared with existing two methods, has obvious advantages calculation accuracy efficiency. This new very useful calculating engineering problems such as structure optimization, model correction defect detection.