中频力学环境预示的FE-SEA混合方法研究

摘要

For the mid-frequency dynamic prediction, the Hybrid FE-SEA Method is presented and the solution procedure is established and shown as a flow chart. Meanwhile,relative computer program is developed on the platform of Matlab. Finally, the method is verified by applying the Monte Carlo simulation. By using FE-SEA accurate results are obtained at the mid-frequency band, while the computational efficiency is much greater than that of the Monte Carlo simulation. Therefore, the Hybrid FE-SEA Method can be a suitable compensation for the traditional finite element method (FEM) and the statistical energy analysis (SEA) and provides a potential solution to the mid-frequency dynamic prediction.%针对中频力学环境预示,阐述了FE-SEA混合方法的基础理论,建立了该方法的详细计算流程,并以Matlab为平台开发了FE-SEA混合方法的计算程序.结合算例,通过与能量流的Monte Carlo仿真结果比较,验证了FE-SEA混合方法的准确性.研究表明:FE-SEA混合方法可以达到Monte Carlo仿真的计算精度,且其计算效率远高于后者；该方法在弥补传统有限元和统计能量分析不足的同时,也为中频力学环境预示的实现提供了一种全新的思路.