| 农绍宁,田光明,赵怀耘.多维激励下结构随机振动响应分析[J].装备环境工程,2013,10(2):124-128. NONG Shao-ning,TIAN Guang-ming,ZHAO Huai-yun.Random Vibration Response Analysis of Structures under Multi-dimensional Excitation[J].Equipment Environmental Engineering,2013,10(2):124-128. |
| 多维激励下结构随机振动响应分析 |
| Random Vibration Response Analysis of Structures under Multi-dimensional Excitation |
| 投稿时间：2012-10-16 修订日期：2013-03-01 |
| DOI： |
| 中文关键词: 多维激励 随机振动 振型函数 |
| 英文关键词:multi-dimensional excitation random vibration vibration mode functions |
| 基金项目:中物院总体所创发基金资助项目（No.08CXJ09） |
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| 中文摘要: |
| 基于随机振动方法，以谱函数分析的方式，给出了典型结构在多维激励下的振动响应计算公式。根据理论分析的结果，计算了多激励单轴向和多激励多轴向的算例。结果表明，对于线性结构，多维激励下结构振动的响应谱为轴向上各个激励点时响应谱的叠加，但由于各点激励下结构振动的振型函数不同，结构响应可能比单个激励点激励时响应大，也可能小；在一些情况下，结构响应会丢失反对称振型的响应。多维激励下振型函数对结构响应的影响，应该引起工程结构设计人员的重视。 |
| 英文摘要: |
| Base on random vibration method, through spectrum function analysis, the random vibration response calculation of typical structures under multi-dimensional excitation was given. MESA and MESE examples were demonstrated according the theoretical analysis results. Numerical analysis results indicated that, for linear structures, the responses of multi-dimensional excitation are the sum of one-dimensional excitation; however for the difference of mode functions of each single exciter, the structural vibration responses may increase or decrease compared with that of single exciter; in special case, the responses of anti-symmetric mode can even disappear. The influence of structural vibration responses character under multi-dimensional excitation is worth of attention of the designers of engineering structures. |
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