Topology optimization of truss structure with fundamental frequency and frequency domain dynamic response constraints
In this paper, adaptive genetic algorithm (AGA) is applied to topology optimization of truss structure with frequency domain excitations. The optimization constraints include fundamental frequency, displacement responses under force excitations and acceleration responses under foundation acceleration excitations. The roulette wheel selection operator, adaptive crossover and mutation operators are used as genetic operators. Some heuristic strategies are put forward to direct the deletion of the extra bars and nodes on truss structures. Three examples demonstrate that the proposed method can yield the optimum structure form and the lightest weight of the given ground structure while satisfying dynamic response constraints.
Key wordsfundamental frequency dynamic response adaptive genetic algorithm topology optimization truss structure
Unable to display preview. Download preview PDF.
- Cui, M.T., Optimal dynamic characteristic topology design based on probability. Xidian University, 2001 (in Chinese).Google Scholar
- Xia, L.J., Wu, J.M. and Jin, X.D., Study on topology optimum design of engineering structures. Journal of Ship Mechanics, 2002, Vol.6, No.6: 107–113.Google Scholar
- Chen, C.Y., Pan, J. and Wang, D.Y., The satellite structure topology optimization based on homogenization method and its size sensitivity analysis. Acta Mechanica Solida Sinica, 2005, Vol.18, No.2: 173–180.Google Scholar
- Duan, Y.Q. and He, J.L., Genetic algorithm and its modification. Proceedings of the EPSA, 1998, Vol.10, No.1: 39–52 (in Chinese).Google Scholar
- MSC. Nastran-Quick Reference Guide [CP]. MSC. Software Japan Ltd., 2001: 921-923.Google Scholar