传感器质量对细长结构振动测试影响规律和修正方法研究
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摘要
细长结构振动测量中,因线密度较小,其振动特性受到传感器质量大小的影响明显。以某教学用振动试验台为例,研究了传感器质量对结构自然频率的影响规律,以及相关摄动修正方法。基于Rayleigh-Ritz离散方法,通过拉格朗日方程,推导了考虑传感器质量的试验台细梁结构的动力学模型,并基于摄动法建立了自然频率计算方法。通过试验测试结果,对得出的动力学模型和在算法的合理性进行验证的基础上,进一步研究了传感器质量对结构固有频率的影响规律。
In the vibration measurement of slender structure,due to the small line density,the vibration characteristics of slender structure are obviously affected by the quality of the transducer. Taking a teaching vibration test-bed as an example,the influence of the quality of the sensor on the natural frequency of the structure is studied,and the related perturbation correction method is discussed. Based on the Rayleigh-Ritz discrete method,the dynamic model of the thin beam structure of the test-bed considering the quality of the sensor is deduced by Lagrange equation,and the natural frequency calculation method based on the perturbation method is established. Based on the test results,the dynamic model and the rationality of the algorithm are validated,and the influence of the sensor quality on the natural frequencies of the structure is further studied.
In the vibration measurement of slender structure,due to the small line density,the vibration characteristics of slender structure are obviously affected by the quality of the transducer. Taking a teaching vibration test-bed as an example,the influence of the quality of the sensor on the natural frequency of the structure is studied,and the related perturbation correction method is discussed. Based on the Rayleigh-Ritz discrete method,the dynamic model of the thin beam structure of the test-bed considering the quality of the sensor is deduced by Lagrange equation,and the natural frequency calculation method based on the perturbation method is established. Based on the test results,the dynamic model and the rationality of the algorithm are validated,and the influence of the sensor quality on the natural frequencies of the structure is further studied.
引文
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[4]Zhang Y M,Huang X Z,Zhang X F,et al.System reliability analysis for kinematic performance of planar mechanisms[J].Chinese Science Bulletin,2009,54(14):2464-2469.
[5]尚鑫,徐岳,任更锋.受损简支梁固有频率变化规律研究[J].西安建筑科技大学学报:自然科学版,2013,45(5):640-646.
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[9]王顺绪,戴华.广义特征值问题的并行块Jacobi-Davidson方法及应用[J].计算力学学报,2008(4):428-433.
[10]Cao Jiaokun,Ding Shuiting.Sensitivity analysis for safety design verification of general aviation reciprocating aircraft engine[J].Chinese Journal of Aeronautics,2012,25(5):675-680.
[11]陈塑寰.结构动态设计的矩阵摄动理论[M].北京:科学出版社,1999:52-67.
[12]Phillips A W,Allemang R J.Normalization of experimental modal vectors to remove modal vector contamination[M].New York:Springer New York LLC,2014:29-41.
[13]陈喆,何欢,陈国平,等.考虑不确定性因素的有限元模型修正方法研究[J].振动工程学报,2017,30(6):921-928.