Forced transverse vibrations of an elastically connected complex rectangular simply supported double-plate system

2004 ◽  
Vol 270 (4-5) ◽  
pp. 997-1011 ◽  
Author(s):  
Z. Oniszczuk
Keyword(s):  
Simply Supported ◽  
Transverse Vibrations ◽  
Double Plate System ◽  
Plate System

The Axisymmetrical Steady-State Response of Internally Damped Annular Double-Plate Systems

1982 ◽  
Vol 49 (2) ◽  
pp. 417-424
Author(s):  
T. Irie ◽  
G. Yamada ◽  
Y. Muramoto
Keyword(s):  
Steady State ◽  
Transfer Matrix ◽  
Annular Plate ◽  
Steady State Response ◽  
Transfer Matrices ◽  
Simply Supported ◽  
State Response ◽  
Double Plate System ◽  
Force Transmissibility ◽  
Concentric Circles

The axisymmetrical steady-state response of an internally damped, annular double-plate system interconnected by several springs uniformly distributed along concentric circles to a sinusoidally varying force is determined by the transfer matrix technique. Once the transfer matrix of an annular plate has been determined analytically, the response of the system is obtained by the product of the transfer matrices of each plate and the point matrices at each connecting circle. By the application of the method, the driving-point impedance, transfer impedance, and force transmissibility are calculated numerically for a free-clamped system and a simply supported system.

scholarly journals Nontrivial Periodic Solutions of an -Dimensional Differential System and Its Application

2013 ◽  
Vol 2013 ◽  
pp. 1-9
Author(s):  
F. B. Gao
Keyword(s):  
Periodic Solutions ◽  
Thin Plate ◽  
Differential System ◽  
Nonlinear Term ◽  
Periodic Motions ◽  
Rectangular Thin Plate ◽  
Simply Supported ◽  
Nontrivial Periodic Solutions ◽  
Existence Of Periodic Solutions ◽  
Plate System

Two criteria are constructed to guarantee the existence of periodic solutions for a second-order -dimensional differential system by using continuation theorem. It is noticed that the criteria established are found to be associated with the system’s damping coefficient, natural frequency, parametrical excitation, and the coefficient of the nonlinear term. Based on the criteria obtained, we investigate the periodic motions of the simply supported at the four-edge rectangular thin plate system subjected to the parametrical excitation. The effectiveness of the criteria is validated by corresponding numerical simulation. It is found that the existent range of periodic solutions for the thin plate system increases along with the increase of the ratio of the modulus of nonlinear term’s coefficient and parametric excitation term, which generalize and improve the corresponding achievements given in the known literature.

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