V.G.Karnaukhov, A.V.Kozlov, Ye.V.Pyatetskaya Damping of vibration of visco-elastic plates by distributed piezoelectric inclusions |
Acoustic bulletin, Vol. 5 ¹ 4, (2002) |
| The problem of active damping of steady and unsteady vibrations of thin viscoelastic plates by distributed piezoelectric sensors and actuators is studied. The program control of the plate's oscillations both without feedback control and with such control are considered. Several variants of equations of the feedback control, which provide changes of the stiffness, dissipative and inertial characteristics of the plate, are presented. Principal equations are obtained on the basis of the Kirchhoff-Love mechanical hypothesis complemented with adequate assumptions about distribution of electric fields. For rectangular plate with pin joint support of edges the analytical expression for the electric potential is obtained. Mentioned potential is expressed as a damping factor for each mode of vibrations excited by the transverse loading. Analogous expression is obtained for the charge of the sensors. For other boundary conditions and geometry of plates the method of finite elements is used in the solution procedure. On the basis of the analytical and the finite element solutions the numerical results are obtained that illustrate the effectiveness of active damping of steady and unsteady vibrations of plates. |
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KEY WORDS: active vibration damping, viscoelastic plate, sensor, actuator, piezoelement |
| TEXT LANGUAGE: Russian |