基于减基法的结构快速设计方法及其应用研究

FAST STRUCTURAL DESIGN METHOD BASED ON REDUCED-BASIS METHOD AND ITS APPLICATION

针对基于有限元方法的结构优化设计计算效率较低的问题,将减基法与有限元方法结合,对结构进行快速计算,从而实现结构的快速设计。以某型赛车车身结构设计为研究对象,主要考虑减基法在静力学和模态动力学中与有限元的混合数值方法,在保证精度的前提下,提高单次静力学和动力学的计算速度。该方法通过构建合理的解空间,将原设计空间缩减为较精简的设计空间,从而提高计算效率。在该空间基础上,以轻量化为目标,对该赛车车身结构进行设计。结果表明,在典型工况下该方法能够在节约计算成本的同时取得较好的优化效果。

The hybrid algorithm consisted of reduced-based method（RBM） and finite element method has been suggested to improve the efficiency of structure optimal design by enhancing the speed of every single computation.The hybrid algorithm has been applied to the design of racing car’s body.The design of static and dynamic problems has been mainly taken into account to accelerate the calculation while keeping the necessary accuracy.For each given case,the hybrid algorithm firstly needs to construct a reasonable reduced space.Then by Galerkin projection on a reduced space,the original large scale problems has been reduced into a much smaller one.The computational efficiency of this small problem is much higher than the original problem.Then based on the reduced model,the optimal design has been carried out.The results indicate that the hybrid algorithm is effective in structural design.