| 刘宝山,赵国忠,王剑.基于设计灵敏度分析的圆柱壳声辐射优化[J].,2011,(3):313-319 |
| 基于设计灵敏度分析的圆柱壳声辐射优化 |
| Acoustic radiation optimization of cylinder shell based on design sensitivity analysis |
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| DOI：10.7511/dllgxb201103001 |
| 中文关键词: 声辐射功率 有限元法 边界元法 优化 灵敏度 |
| 英文关键词: acoustic radiation power finite element method (FEM) boundary element method (BEM) optimization sensitivity |
| 基金项目:国家自然科学基金资助项目(10772038,11072049);“十一五”国家科技支撑计划资助项目(2009BAG12A04);中央高校基本科研业务费专项资金资助项目(DUT10LK39). |
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| 中文摘要: |
| 采用有限元法计算结构振动,边界元法求解结构振动引起的辐射声场问题．在此基础上提出了圆柱壳结构声辐射优化模型,重点推导了结构振动声辐射灵敏度计算公式．优化模型中,声辐射功率作为目标函数,约束函数中不仅有内部场点平均声压作为声场设计指标,而且包含了质量和自振频率的结构设计指标,圆柱壳的厚度作为设计变量．通过与用差分法计算的灵敏度的比较,显示了不同厚度下声辐射功率灵敏度和内部场点平均声压灵敏度计算的准确性．数值算例表明厚度的优化分布可以有效地降低圆柱壳的声辐射功率． |
| 英文摘要: |
| Finite element method (FEM) is used to calculate the vibration of the structure, and boundary element method (BEM) is used to solve the acoustic radiation problem. On this basis, optimization model of cylinder shell structure is presented and calculation formula of acoustic radiation sensitivity analysis of structural vibration is deduced with emphasis. Acoustic radiation power is considered as objective function. Not only acoustic indexes but also structural indexes are considered as constraints, such as average pressure of internal field, structural mass and natural vibration frequency. Thicknesses of the cylinder shell are considered as design variables. The sensitivities of acoustic radiation power and average pressure of internal field with respect to shell thickness variables are validated compared with finite difference sensitivities. Numerical results show that the reduction of acoustic radiation power can be achieved by optimizing the distributions of shell thicknesses. |
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