面内平动功能梯度斜板的主动振动控制

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Abstract

Through transformation between orthogonal coordinate system and skew angle coordinate system, the transverse vibration control differential equation for in-plane translating skew plate made of a new kind of functional graded materials, subjected to multiple concentrated control forces is derived in the skew coordinate system. The differential quadrature method is used to discretize the differential equation and boundary conditions, and the state equations of the vibration control system in the time domain are set up. Using the optimal control method, the optimal control law is obtained. For the case that the axially moving velocity of in-plane translating skew plate is less than the first order dimensionless critical speed ( equilamplitude vibration) and greater than the first order dimensionless critical speed (divergence instability), some numerical simulations for the system was implemented, and variation curve between the deflection of certain point and time under uncontrolled and controlled case are plotted. The numerical results show that the optimal control scheme can effectively control the vibration of in-plane translating skew plate made of functionally graded materials, particularly for suppression of the divergence instability of skew plate.

Key words： in-plane translating skew plate functionally graded materials optimum vibration control differential quadrature method

Received: 12 March 2015 Published: 25 July 2016

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	WANG Zhongmin
	ZOU Dezhi

Cite this article:

WANG Zhongmin,ZOU Dezhi. Active vibration control of in-plane translating skew plate made of functionally graded materials[J]. JOURNAL OF VIBRATION AND SHOCK, 2016, 35(15): 86-92.

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http://jvs.sjtu.edu.cn/EN/ OR http://jvs.sjtu.edu.cn/EN/Y2016/V35/I15/86

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