针对功能梯度材料参数的反求问题,提出了一种基于代理模型的反求方法.应用有限元软件建立功能梯度梁的波动响应模型,获得模型在激振力作用下的动态位移响应.通过试验设计选取合理的样本点,建立响应面模型代替有限元软件作为程序的正问题求解器,遗传算法作为反问题求解器,用添加不同噪声水平的峰值位移来模拟反求模型的实际输入作为整个算法的输人数据,最终获得材料的体积参数.以实际SiC-C功能梯度梁为算例,分析了单次正弦激振力下,有限元软件获得的动态响应,并根据获得的位移响应应用遗传算法来反求SiC-C梁的体积分数.算例验证了本方法的有效性.基于代理模型的反求方法避免了多次调用正问题求解器,提高了计算效率.
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