悬吊式模态试验系统基频测试误差分析
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摘要
针对悬吊式超低频模态试验系统,分别建立垂直和水平方向等效理论计算模型,采用瑞利法求解垂直和水平两个方向的系统基频,建立基频测试值和真实值的等量关系式;分析了两个方向基频测试误差产生机理、影响因素和变化趋势,结果表明悬吊式超低频模态试验系统垂直方向基频测试值偏低,水平方向基频测试值偏高,并提出通过基频测试值,计算产品真实基频的方法和步骤;最后,通过开展标准杆基频试验以及有限元仿真分析,验证了垂直和水平两个方向等效理论计算模型正确有效。
For a suspended ultra-low frequency modal test system,its theoretical calculation models in vertical direction and horizontal one were established,respectively and Rayleigh method was used to solve fundamental frequencies of the system in both vertical and horizontal directions. The equivalent relationship expression between fundamental frequency test values and the true ones was built. Mechanism causing error,influencing factors and variation trend of fundamental frequency measurement in both directions were analyzed. The results showed that the system's fundamental frequency test value in vertical direction is on the low side and that in horizontal direction is on the high side; the method and procedure to calculate the true fundamental frequency of products are proposed using their fundamental frequency test values; the correctness and effectiveness of the equivalent theoretical calculation models in both vertical and horizontal directions are verified with a standard bar's fundamental frequency test and finite element simulation analysis.
For a suspended ultra-low frequency modal test system,its theoretical calculation models in vertical direction and horizontal one were established,respectively and Rayleigh method was used to solve fundamental frequencies of the system in both vertical and horizontal directions. The equivalent relationship expression between fundamental frequency test values and the true ones was built. Mechanism causing error,influencing factors and variation trend of fundamental frequency measurement in both directions were analyzed. The results showed that the system's fundamental frequency test value in vertical direction is on the low side and that in horizontal direction is on the high side; the method and procedure to calculate the true fundamental frequency of products are proposed using their fundamental frequency test values; the correctness and effectiveness of the equivalent theoretical calculation models in both vertical and horizontal directions are verified with a standard bar's fundamental frequency test and finite element simulation analysis.
引文
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[9]ASAI T,AKATSUKA T,HAAKE S.The physics of football[J].Phys World,1998,11(6):25-27.
[10]IRESEN G.Beckham as physicist?[J].Physics Education,2001,36(1):10-13.
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[12]谢礼立,吕大刚.高等结构动力学[M].北京:高等教育出版社.
[13]沃德·海伦,斯蒂芬·拉门兹.模态分析理论与试验[M].白化同,郭继忠,译.北京:北京理工大学出版社.
[14]刘晶波,杜修力.结构动力学[M].北京:机械工业出版社.