| 陈江攀,刘艳,刘艺,王增凯,孙立敏.随机振动加速度响应谱及与冲击等效性分析[J].装备环境工程,2024,21(1):1-8. CHEN Jiangpan,LIU Yan,LIU Yi,WANG Zengkai,SUN Limin.Acceleration Response Spectrum of Random Vibration and Equivalence Analysis with Shock Test[J].Equipment Environmental Engineering,2024,21(1):1-8. |
| 随机振动加速度响应谱及与冲击等效性分析 |
| Acceleration Response Spectrum of Random Vibration and Equivalence Analysis with Shock Test |
| 投稿时间：2023-08-05 修订日期：2023-10-14 |
| DOI：10.7643/issn.1672-9242.2024.01.001 |
| 中文关键词: 随机振动 维纳-辛钦定理 加速度响应谱 限带非均匀谱 冲击响应谱 冲击试验中图分类号:TJ760 V216.5 文献标志码:A 文章编号:1672-9242(2024)01-0001-08 |
| 英文关键词:random vibration Wiener-Khinchine theorem acceleration response spectrum band-limited and non-uniform PSD shock response spectrum shock test |
| 基金项目:中国航天科工集团第二研究院质量与技术基础自筹资金项目(E23A013) |
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| Author | Institution |
| CHEN Jiangpan | Beijing Institute of Electronic System Engineering, Beijing 100854, China |
| LIU Yan | Beijing Institute of Electronic System Engineering, Beijing 100854, China |
| LIU Yi | Beijing Institute of Electronic System Engineering, Beijing 100854, China |
| WANG Zengkai | Beijing Institute of Electronic System Engineering, Beijing 100854, China |
| SUN Limin | Beijing Institute of Electronic System Engineering, Beijing 100854, China |
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| 中文摘要: |
| 目的 获得随机振动的加速度响应谱，提升随机振动与冲击的等效性分析精度。方法 首先，基于维纳-辛钦定理，推导单自由度系统在随机振动基础激励作用下加速度响应均方值的通用表达式；其次，分别推导单自由度系统在理想白噪声和限带非均匀谱随机振动基础激励作用下的加速度响应均方值；再次，基于3σ准则，推导限带非均匀谱随机振动的3σ加速度响应谱；最后，基于加速度响应等效，通过将装备随机振动条件的3σ加速度响应谱与冲击条件的冲击响应谱进行等效性分析，对GJB 150.18A—2009中的冲击试验剪裁条件进行精细优化。结果 精细优化后，可有效改善冲击试验剪裁条件的工程实施精度。结论 获得了限带非均匀谱随机振动的3σ加速度响应谱，并基于此对GJB 150.18A—2009中的冲击试验剪裁条件进行了精细优化，对于装备合理剪裁冲击试验具有借鉴意义。 |
| 英文摘要: |
| The work aims to obtain the ARS (acceleration response spectrum) of random vibration and then to improve the analysis accuracy of the equivalence between random vibration and shock test. Firstly, the universal expression of the acceleration response RMS (root-mean-square) value of a single DOF (degree-of-freedom) vibration system under the action of random vibration base excitation was achieved according to the Wiener-Khintchinetheorem. Secondly, the acceleration response RMS value of the single DOF vibration system under the action of both white noise and random vibration with band-limited and non-uniform PSD (power spectral density) was deduced respectively. Thirdly, the 3σ ARS of random vibration with band-limited and non-uniform PSD was established on the basis of the 3σ guidelines. Lastly, in view of the equivalence of acceleration response, the cutting conditions for shock test were optimized through comparing the 3σ ARS of equipment random vibration test conditions with the SRS (shock response spectrum) of equipment shock test conditions. The analysis results of three examples indicated that the application accuracy in engineering of the cutting conditions for shock test was improved after optimization. In summary, the 3σ ARS of random vibration with band-limited and non-uniform PSD is established in this work, and then the cutting conditions for shock test in GJB 150.18A-2009 are optimized on account of the equivalence of acceleration response. It provides references for more reasonably cutting the shock test for equipment. |
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