基于遗传算法轴对称梯度功能材料优化设计

Optimization of Axial Symmetrical FGM Using the Genetic Algorithm

摘要: 基于计算数学理论与热弹性原理,针对环状截面梯度功能材料(FGM)提出了热应力分布公式.以沿坐标轴的最大热应力达到最小为目标,建立了轴对称FGM多目标优化模型.应用遗传算法实现了优化设计,获得了稳态温度场下环状截面FGM的最佳材料分布参数.

Abstract: The distribution of thermal stresses for an empty cylinder of Functionally Graded Materials (FGM) with axial symmetry is obtained, and the Genetic Algorithm (GA) is applied to the optimization problem of material composition for an empty cylinder of FGM with axial symmetry. Based on the thermal elasticity theory and computational method, the numerical calculations are made using a genetic algorithm. The minimum thermal stresses and optimum combination are obtained for an empty cylinder of FGM.