Optimal vibration control and innovization for rectangular plate

Author(s):  
Shamim Mashrouteh ◽  
Shahryar Rahnamayan ◽  
Ebrahim Esmailzadeh
1975 ◽  
Vol 97 (4) ◽  
pp. 432-438 ◽  
Author(s):  
J. Van De Vegte

Modern optimal control theory is used to design passive dynamic absorbers to minimize the transient vibrations of thin plates. In addition to spring and damping constants, the absorber locations on the plate are optimized. If dynamic plate loads excite certain modes of vibration, the technique can be used to select parameters such that damping of these modes will be emphasized. The numerical example used to discuss the characteristics of the optimal designs concerns a uniform rectangular plate which is simply supported at its edges, but the technique applies in all cases where the vibration can be expressed as a sum of terms in orthogonal modes of vibration.


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.


2001 ◽  
Vol 21 (2) ◽  
pp. 147-163 ◽  
Author(s):  
Hirohide Serizawa ◽  
Kohei Hongo ◽  
Hirokazu Kobayashi

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