含光電致動器的平板振動分析

Vibration Analysis of Plates with Opto-Electromechanical Actuator

黃智盈(Chih-Ying Huang)

指導教授 ： 施延欣

中原大學/工學院/機械工程研究所/碩士(2006年)

https://doi.org/10.6840/cycu200600875

摘要

考慮一個長方形平板，受光電致動器產生的外力影響,且四端均為簡支撐之平板的振動分析。依據 Tzou and Fu，得到長方形平板的運動方程式，在振動受到光電致動器的作用為了清楚地看致動器對長方形平板的影響力則不考慮平板阻尼係數的影響。本文中運用Galerkin 的方法，將統御方程式化簡為一個以時間為變數的 Mathieu 方程式，至於暫態振動的部分，則使用四階 Runge-Kutta 的方法來描述振動對時間時的關係表分別繪出，藉此來探討其致動器的擺放位置對長方形平板振動的影響關係。

關鍵字

振動 ； 平板阻尼 ； 光電致動器 ； 長方形平板

並列摘要

The analysis of vibration for the rectangular plate under out-plane moment from opto-electromechanical actuators are considered. The rectangular plate is simply supported at all edges. The equation of rectangular plate motion including out-plane moment based on Tzou and Fu is presented. In order to show clearly the effects of active damping, structural damping is not considered. The equations of vibration are reduced to an ordinary differential equation by assuming mode shape and Galerkin’s procedure. Using Runge-Kutta method, the amplitude-time is determined. By discussing the effective control moments depend on the locations of actuators to the vibration of a rectangular plate.

並列關鍵字

opto-electromechanical actuators ； vibration ； damping ； rectangular plate

參考文獻

[1] A. Baz and S. Poh, “A new class of distributed sensors”, Journal of Vibration and

[2] Y. Wang and J. C. Slater, “A comparison of conventional and impedance methods for modeling piezoelectric materials actuation in smart structures”, Journal of Vibration and Acoustics, Vol.120, pp. 685-688, 1998.

[3] H. R. Shih, “Distributed vibration sensing and control of a piezoelectric laminated curved beam”, Journal of Smart Materials and Structures, Vol.9, pp. 761-766, 1993.

[4] S. Y. Wang, S. T. Quek, and K. K. Ang, “Vibration control of smart piezoelectric composite plates”, Journal of Smart Materials and Structures, Vol.10, pp. 637-644, 2001.

[6] H. S. Tzou and H. Fu, “A study of segmentation of distributed sensors and actuators, Patr-1, theoretical analysis and Part-2, parametric study and vibration controls”, Journal of Sound ＆Vibration, Vol.172, No.2, pp. 247-276, 1994.