Natural vibration of a rectangular plate of composite material with periodically bent structures

1999 ◽  
Vol 35 (10) ◽  
pp. 1035-1039 ◽  
Author(s):  
A. D. Zamanov
Author(s):  
Moon K. Kwak ◽  
Dong-Ho Yang

This paper is concerned with the active vibration control of a hanged rectangular plate partially submerged into a fluid by using piezoelectric sensors and actuators bonded to the plate. A dynamic model for the plate is derived by using the Rayleigh-Ritz method and the fluid effect is modeled by the virtual mass increase that is obtained by solving the Laplace equation. The natural vibration characteristics of the plate in air obtained theoretically are in good agreement with the experimental results. The changes in natural frequencies due to the presence of fluid were measured and compared to the theoretical predictions. Experimental results show that the theoretical predictions are in good agreement with the experimental results. The natural vibration characteristics of the plate both in air and in water are used for the active vibration control design. In this study, the multi-input and multi-output positive position feedback controller was designed based on the natural vibration characteristics and implemented by using a digital controller. Experimental results show that the vibration of the hanged rectangular plate both in air and partially submerged into a fluid can be successfully suppressed by using piezoelectric sensors and actuators.


1995 ◽  
Vol 117 (4) ◽  
pp. 416-423 ◽  
Author(s):  
C. Rajalingham ◽  
R. B. Bhat ◽  
G. D. Xistris

Forced vibration of a cavity backed rectangular plate is widely used to study the physics of noise transmission into an enclosure. In this context, the cavity backed plate is a dynamical system with coupled motion of the plate and the air cavity. The natural frequencies of the coupled system are the most important characteristics of the noise transmission into the cavity. This paper investigates the natural vibration of a cavity backed rectangular plate and presents numerical results for the particular case of a cavity backed simply supported plate. The natural vibration of the total system is viewed as the result of the interactions of various natural modes of vibration of its subsystems. The physics of the modal interactions is discussed using a receptor-rejector system model, and the dynamics of the cavity backed panel is investigated using the plate receptance and the cavity rejectance (inverse receptance) parameters. The modal interactions are further clarified using a cavity backed piston forming a single degree of freedom system. With the principle of superposition, the receptor-rejector system model can be used to analyze cavities with more than one flexible wall.


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