基于矢量图的力状态映射法辨识参数误差分析

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振动与冲击 ›› 2016, Vol. 35 ›› Issue (24) : 128-131.

论文

蒋国庆，李家文，唐国金

作者信息 +

Error analysis in parameters from the force-state mapping method based on vector diagram

JIANG Guo-qing，LI Jia-wen，TANG Guojin

Author information +

文章历史 +

摘要

力状态映射法被常用于辨识非线性连接结构的等效动力学参数，该方法需要用到实验仪器测量得到或者经过微分或积分计算得到的激励力、速度、位移、加速度等数据。而往往这些数据的相位会出现失真，这会直接导致通过力状态映射辨识得到的系统参数出现误差。用矢量图法计算得到了单自由度系统在强迫振动和自由振动两种情况下出现测量数据或计算数据小幅度相位失真时的误差计算公式，结果表明这种小幅度相位失真对系统阻尼系数的影响明显大于对系统刚度系数的影响，且当激励力频率等于固有频率时辨识参数的误差最小。

Abstract

The force-state mapping is usually used to identify the equivalent dynamic parameters of nonlinear joint, which needs lots of data from instruments or from differential or integral, such as excitation force, velocity, displacement, and acceleration. But if those signals happened to suffer phase distortion, parameters identified from the force-state mapping will engender errors. Error formulations of identified parameters were derivated by vector diagram when the single degree of freedom system suffered a narrow range of phase distortion. The results indicate that the system stiffness is influenced heavily by the narrow range of phase distortion compared with the system damping.

导出引用

蒋国庆，李家文，唐国金. 基于矢量图的力状态映射法辨识参数误差分析[J]. 振动与冲击, 2016, 35(24): 128-131

JIANG Guo-qing，LI Jia-wen，TANG Guojin. Error analysis in parameters from the force-state mapping method based on vector diagram[J]. Journal of Vibration and Shock, 2016, 35(24): 128-131

参考文献

[1] 吴志刚,王本利,马兴瑞.在轨航天器连接结构动力学及其参数辨识[J].宇航学报,1998,19(3):103-109.
Wu Zhigang, Wang Benli, Ma Xingrui. Dynamic and parameters identification of joints in spacecraft [J]. Journal of Astronautics,1998,19(3):103-109.
[2] Marsi S F, Caughey T K. A non-parametric identification technique for nonlinear dynamic problems [J]. Journal of Applied Mechanics, 1979, 46: 433-447.
[3] Marsi S F, Sassi H, Caughey T K. Nonparametric identification of nearly arbitrary nonlinear systems[J]. Journal of Applied Mechanics, 1982, 49:619-627.
[4] Crawley E F, O’Donnell K J. Force-state mapping identification of nonlinear joint[J]. AIAA Journal, 1987,25:1003-1010.
[5] Crawley E F, Aubert A C. Identification of nonlinear structural elements by force-state mapping [J]. AIAA Journal, 1986, 24:155-162.
[6] Ajjan, Al-Hadid M A. Developments in the force-state mapping technique for nonlinear systems and the extension to the location of nonlinear elements in a lumpe-parameter system [J]. Mechanical Systems and Signal Processing, 1989 ,3(3):269-290.
[7] 蔡力钢,李玲,郭铁能等.基于力状态映射法辨识非线性结合部动态参数[J].机械工程学报,2011,47(7):25-72.
CAI Ligang, LI Ling, GUO Tieneng, et al. Identification of nonlinear joint parameters with force-state mapping method [J]. Journal of Mechanical Engineering, 2011, 47 (7):65-72.
[8] 吴爽,赵寿根,吴大方等.太阳翼铰链结构的动力学试验与非线性动力学建模[J].宇航学报,2013,34(12):1550-1556.
WU Shuang, ZHAO Shougen, WU Dafang, et al. Dynamic experiments and nonlinear dynamics modeling of joints in solar array [J]. Journal of Astronautics, 2013,34(12):1550-1556.
[9] Wright J R, Al-Hadid M A. Sensitivity of the force-state mapping approach to measurement errors [J]. International Journal of Analytical and Experimental Modal Analysis, 1991, 6: 89-103.
[10] Meskell C, Fitzpatrick J A. Errors in parameter estimates from the force-state mapping technique for free response due to phase distortion [J]. Journal of Sound and Vibration, 2002,252 (5):967-974.