Finite element-least squares point interpolation method (FE-LSPIM) developed recently shows some excellent features to improve the calculation accuracy of mechanical problems. In this paper, a coupled finite element-least squares point interpolation method/ boundary element method (FE-LSPIM/BEM) is proposed to analyze plate-like structural-acoustic coupled system. Here, the FE-LSPIM is used to model the structure domain, while the acoustic domain is modeled by BEM. The hybrid method not only inherits advantages of element compatibility of the finite element method (FEM) and the quadratic polynomial completeness of LSPIM, but also improves the calculation accuracy of the structural domain. Moreover, stochastic perturbation method is introduced to process uncertainty parameters of the FE-LSPIM/BEM, so the stochastic perturbation FE-LSPIM/BEM model has been proposed, then several uncertain parameters that have been randomly processed were used to increase the analytical reliability in structural-acoustic coupled system. At last, numerical examples are taken to verify the feasibility of the proposed SP-FE-LSPIM/BEM as compared to Monte Carlo method (MCM) and stochastic perturbation finite element/boundary element method (SP-FEM/BEM). The results show that FE-LSPIM/BEM has higher accuracy in analysis of uncertain structural-acoustic coupling system as compared to the FEM/BEM.

最近开发的有限元最小二乘点插值方法（FE-LSPIM）具有一些出色的功能，可以提高机械问题的计算精度。提出了一种耦合有限元最小二乘点插值法/边界元法（FE-LSPIM / BEM）来分析板状结构声耦合系统。在这里，FE-LSPIM用于对结构域建模，而声学域则由BEM建模。混合方法不仅继承了有限元方法（FEM）的元素兼容性和LSPIM二次多项式完整性的优点，而且提高了结构域的计算精度。此外，引入随机扰动方法处理FE-LSPIM / BEM的不确定性参数，提出了随机扰动FE-LSPIM / BEM模型，然后采用随机处理的几个不确定性参数来提高分析的可靠性。结构声耦合系统。最后，通过数值算例验证了所提出的SP-FE-LSPIM / BEM与蒙特卡罗方法（MCM）和随机扰动有限元/边界元方法（SP-FEM / BEM）相比的可行性。结果表明，与FEM / BEM相比，FE-LSPIM / BEM在不确定的结构声耦合系统分析中具有更高的精度。