概率不确定性条件下复合材料的反演设计

THE INVERSE DESIGN FOR COMPOSITE LAMINATES BASED ON RANDOM UNCERTAINTY

反演设计是一种全新的现代设计方法,将其用于复合材料层合板的设计可以提供强有力的理论支撑。本文分别考虑复合材料的力学行为是确定性量和不确定性量的情况,基于有限元分析或试验数据,采用先进的GMDH-NN方法获取模型的输入-输出关系,随后遗传算法用于复合材料弹性常数的逆模拟及优化求解。通过算例证明了所提的反演设计方法能够较准确地获得复合材料层合板的工程弹性常数,具有工程应用价值。

The inverse design is a novel modern design method, and it can provide strong theoretical support for the composite design. In this paper, the structural mechanical behaviors of composite laminates are considered as deterministic and uncertainty responses, respectively. On the basis of the finite element method (FEM) or experimental data, the advanced Group Method of Data Handling-Neural Network (GMDH-NN) algorithm is used to construct the relationship between input variables and output responses, and the genetic algorithm (GA) is employed in the optimization process of inverse simulation for the composite laminates. Furthermore, several examples are given to show that the presented methods are reliable and feasible in application to gain the elastic constants, which is of great significance in practical engineering.