为了解决ER夹层板系统的模态控制的实用性问题,研究了悬臂板模态坐标估计和传感器定位问题。首先,按照变刚度模态控制算法的要求,给出了离散坐标下模态坐标估计的方法;然后,根据连续结构的振型分析,分析传感器定位计算,建立了数学优化模型;最后,按照模态动能法初步筛选然后,枚举得到传感器优化布置方案,并且从估计精度和控制效果两个角度进行了布置方案的算例验证。结果表明,优化的传感器布置能在较少的数目下,模态坐标估计满足模态控制算法的输入需求。
Abstract
Modal control algorithm and optimal sensor placement for an electrorheological sandwich plate under semiactive variable modality stiffness vibration control were investigated. First of all,on the modal coordinate,a modal coordinate estimation method was obtained according to the demand of the control algorithm. And then,an optimal model was developed based on the analysis of vibration mode shape. Lastly,complete enumeration was adopted after filtering the structure nodes and these optimal configurations were verified by two kinds of comparisons of precision in calculation and vibration control. The numerical example shows that this modal coordinate estimation from the configuration with a few sensors can satisfy the demands of modal control algorithm.
关键词
模态控制算法 /
模态坐标估计 /
传感器布置优化 /
MAC检验
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Key words
modal control algorithm /
modal coordinate estimation /
optimal sensor placement /
modal assurance criterion
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参考文献
[1] 吴波, 刘汾涛, 魏德敏. 变刚度半主动控制结构的拟振型分解法[J]. 华南理工大学学报:自然科学版,2002,30(9): 85- 90.
WU Bo, Liu Fen tao, Wei De min. Approximate M ode Decomposition Method for Structures with Semi-active Variable Stiffness Systems[J]. Journal of South China University of Technology: Natural Science Edition, 2002, 30(9): 85-90.
[2] J.Y. Yeh, L.W. Chen. Finite element dynamic analysis of orthotropic sandwich plates with an electrorheological fluid core layer. Composite Structures, 2007, 65: 251-260.
[3] Jia-Yi Yeh. Vibration control of a sandwich annular plate with an electrorheological fluid core layer. Smart Mater Struct, 2007, 16: 837–842.
[4] 应祖光,陈海锋 磁流变粘弹性夹层板随机激励下的微振动响应特性[J].振动与冲击,2012,31(19): 6- 14.
Ying Zu-gaung,Chen Hai-feng. Micro-vibration response characteristics of a randomly excited sandwich plate with MR visco-elastomer[J]. Journal of Vibration and Shock 2012, 31(19): 6-14.
[5] 张冲,鲁刘磊. 磁流变液矩形夹层板的动力特性分析[J].机电工程技术,2013,42(03): 15- 20.
ZHANG Chong, LU Liu-lei. Dynamics Analysis of Rectangular Sandwich Plates with Magnetorheological Fluid Mechanical & Electrical Engineering Technology, 2013, 42(03):15-20.
[6] 顾仲权, 马扣根, 陈卫东. 振动主动控制[M]. 北京:国防工业出版社,1997.
[7] Brauh H, Choc K. Sensor placement ion structural control. Journal of Guidance, Control, and Dynamics, 1990, 13(3):524-533.
[8] Choi S B,Park Y K, Cheong C C.Active control of intelligent composite laminate structures incorporating an electro-rheological fluid[J].Intelligent Material Systems and Structures,1996,7(7):411- 419.
[9] 孟光, 鲁宏权, 任兴民. 电流变液夹层板结构动态特性及振动控制的实验研究[J]航空学报,1998,19(4): 456- 461.
Meng GuangLu, Ho ngquan, Ren Xingming. Experiment study on the dynamic characters and vibration control of a sandwich plate with electro-rheological fluid [J]. Acta aeronautica et astronautica sinica, 1998, 19(4):456-461.
[10] 杨雅勋,郝宪武,孙磊. 基于能量系数-有效独立法的桥梁结构传感器优化布置[J].振动与冲击,2010,29(11): 119- 134.
Yang Ya xun, HAO Xian wu, SUN Lei. Optimal placement of sensors for a bridge structure based on energy coefficienent-effective independencen method[J]. Journal of Vibration and Shock, 2010,29(11): 119- 134.
[11] Don D L and Coulter J P. An analytical and experimental investigation of electrorheological material based adaptive beam structures[J]. Journal of Intelligent Material Systems & Structures, 1995, 6: 846–853.
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