The recently developed edge-based smoothed finite element method (ES-FEM) is an efficiency method for solving frequency response of structural-acoustic systems with nominally deterministic parameters. In order to further dealing with the unavoidable uncertainties, both the interval perturbation techniques and the subinterval perturbation techniques are introduced and embedded into the hybrid edge-based smoothed finite element method for structural-acoustic systems with uncertain-but-bounded uncertainties in this work. Firstly, the structural subsystems are described by using 2D edge-based smoothed finite element method; meanwhile, the acoustic subsystems are established by using 3D edge-based finite element method. Then the interval perturbation technique is introduced to establish the interval perturbation equations of structural-acoustic coupled system with small uncertain level. For parameters with large uncertain level, the subinterval perturbation technique is further embedded to improve the computational accuracy (named SIPES-FEM/ES-FEM). The results obtained by IPES-FEM/ES-FEM and SIPES-FEM/ES-FEM are compared with results obtained by Monte-Carlo method. The higher computational accuracy and efficiency of the proposed IPES-FEM/ES-FEM and SIPES-FEM/ES-FEM are verified by two numerical examples.

最近开发的基于边缘的平滑有限元方法（ES-FEM）是一种有效的方法，用于解决具有名义确定性参数的结构声学系统的频率响应。为了进一步处理不可避免的不确定性，在这项工作中，引入了区间扰动技术和子区间扰动技术，并将其嵌入到基于混合边的基于光滑的有限元结构声学系统的有限元方法中。首先，利用基于二维边缘的平滑有限元方法对结构子系统进行描述。同时，利用基于3D边缘的有限元方法建立声学子系统。然后引入区间微扰技术，建立了不确定度较小的结构声耦合系统的区间微扰方程。对于不确定度较大的参数，进一步嵌入了子区间微扰技术以提高计算精度（称为SIPES-FEM / ES-FEM）。将通过IPES-FEM / ES-FEM和SIPES-FEM / ES-FEM获得的结果与通过蒙特卡洛方法获得的结果进行比较。通过两个数值示例验证了所提出的IPES-FEM / ES-FEM和SIPES-FEM / ES-FEM的更高的计算精度和效率。将通过IPES-FEM / ES-FEM和SIPES-FEM / ES-FEM获得的结果与通过蒙特卡洛方法获得的结果进行比较。通过两个数值示例验证了所提出的IPES-FEM / ES-FEM和SIPES-FEM / ES-FEM的更高的计算精度和效率。将通过IPES-FEM / ES-FEM和SIPES-FEM / ES-FEM获得的结果与通过蒙特卡洛方法获得的结果进行比较。通过两个数值示例验证了所提出的IPES-FEM / ES-FEM和SIPES-FEM / ES-FEM的更高的计算精度和效率。