应用混合单元基光滑点插值法的声固耦合分析

陈泽聪1,陈毓珍2,何智成3,张桂勇1,4,5,王海英6

振动与冲击 ›› 2019, Vol. 38 ›› Issue (8) : 238-245.

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PDF(1333 KB)
振动与冲击 ›› 2019, Vol. 38 ›› Issue (8) : 238-245.
论文

应用混合单元基光滑点插值法的声固耦合分析

  • 陈泽聪1,陈毓珍2,何智成3,张桂勇1,4,5,王海英6
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A hybrid cell-based smoothing point interpolation method for solving structural-acoustic problems

  • CHEN Zecong1, CHEN Yuzhen2, HE Zhicheng3, ZHANG Guiyong1,4,5, WANG Haiying6
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摘要

基于有限元法的声固耦合计算模型由于刚度过硬,频率增高时计算结果容易出现较大的色散误差。为了提高计算精度,提出将采用梯度光滑技术的混合单元基光滑点插值法(CSαPIM)应用于三维声学模拟,通过与边基光滑有限元(ESFEM)的二维板单元结合,对结构声振耦合系统进行模态和频率响应分析。结果表明梯度光滑可以有效软化系统刚度,提供更加准确的计算结果。同时,新方法采用三角形和四面体单元来分别离散结构域和声学域,对任意几何形状具有普遍适应性,可以减少复杂模型的前处理时间,具有很好的工程应用前景。

Abstract

The structural-acoustic models based on finite element method (FEM) suffer from considerable dispersion error in relatively high frequencies due to their “overly-stiff” property.In order to improve the accuracy of simulation, a hybrid cell-based smoothed point interpolation method (CSαPIM) with gradient smoothing technique (GST) was applied to cope with three-dimensional acoustic problems.Modal analysis and frequency response analysis were conducted using a structural-acoustic model, which was constructed by combining CSαPIM for acoustic domain with the edge-based smoothed finite element method (ESFEM) for a two-dimensional plate.It was shown that the present model can provide more accurate results owing to the ability of softening the stiffness effectively.Besides, as linear triangular and tetrahedral elements have been used for the discretization of structure and acoustic domains respectively, the mesh of the problem can be generated automatically for complicated geometries with much less pre-processing time.Therefore, the present method is promising. 

关键词

光滑点插值法 / 声固耦合 / 系统刚度

引用本文

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陈泽聪1,陈毓珍2,何智成3,张桂勇1,4,5,王海英6. 应用混合单元基光滑点插值法的声固耦合分析[J]. 振动与冲击, 2019, 38(8): 238-245
CHEN Zecong1, CHEN Yuzhen2, HE Zhicheng3, ZHANG Guiyong1,4,5, WANG Haiying6. A hybrid cell-based smoothing point interpolation method for solving structural-acoustic problems[J]. Journal of Vibration and Shock, 2019, 38(8): 238-245

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