针对复合材料结构-声耦合系统，充分考虑系统本身及外载荷的不确定性，基于区间理论建立了相应的有限元分析方法及可靠性优化模型。首先，利用区间对不确定参数进行定量化描述，根据有限元网格推导含区间参数的结构-声耦合内场问题的有限-有限元方程；借助改进的区间泰勒展开方法，快速确定结构响应与声场响应的区间上下界；随后，基于区间可能度建立含不确定参数的耦合系统可靠性优化模型。数值算例通过层合板铺层角度和厚度的优化设计，验证了所建立可靠性优化设计模型及算法的有效性。%Based on the interval theory ,an interval finite element method for the coupled composite material structural-acoustic system is proposed ,and an interval reliability optimization model is established considering the uncertainty in both the system and external loads .Firstly ,the interval is used to quantitatively describe all the uncertain parameters and the finite-finite ele-ment equation for the interior acoustic field is derived .With the modified interval Taylor expansions ,the response range of coupled systems could be quickly predicted .Subsequently ,the possible-degree formula of intervals is introduced to establish the reliability optimization model .Finally ,the optimal designs of layer angle and thickness in a composite laminate model are given to demonstrate the effectiveness of proposed model and algorithm .
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