A novel minimum weight formulation of topology optimization implemented with reanalysis approach |
| |
Authors: | Kai Long Chunlu Gu Xuan Wang Jie Liu Yixian Du Zhuo Chen Nouman Saeed |
| |
Affiliation: | 1. State Key Laboratory for Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University, Beijing, China;2. College of Civil Engineering, Hefei University of Technology, Hefei, China;3. Center for Research on Leading Technology of Special Equipment, School of Mechanical and Electric Engineering, Guangzhou University, Guangzhou, China;4. College of Mechanical and Power Engineering, China Three Gorges University, Yichang, China |
| |
Abstract: | In this paper, we develop an efficient diagonal quadratic optimization formulation for minimum weight design problem subject to multiple constraints. A high-efficiency computational approach of topology optimization is implemented within the framework of approximate reanalysis. The key point of the formulation is the introduction of the reciprocal-type variables. The topology optimization seeking for minimum weight can be transformed as a sequence of quadratic program with separable and strictly positive definite Hessian matrix, thus can be solved by a sequential quadratic programming approach. A modified sensitivity filtering scheme is suggested to remove undesirable checkerboard patterns and mesh dependence. Several typical examples are provided to validate the presented approach. It is observed that the optimized structure can achieve lighter weight than those from the established method by the demonstrative numerical test. Considerable computational savings can be achieved without loss of accuracy of the final design for 3D structure. Moreover, the effects of multiple constraints and upper bound of the allowable compliance upon the optimized designs are investigated by numerical examples. |
| |
Keywords: | approximate reanalysis multigrid preconditioned conjugate gradients preconditioned conjugate gradient sequential quadratic programming topology optimization |
|
|