Applying the Principle of Mixed Variables Solve the Problems of Forced Vibration of the Calculating Rectangular Plate by Uniform Load

2011 ◽  
Vol 71-78 ◽  
pp. 1715-1719
Author(s):  
Chong Fu Wu ◽  
Shu Hong Liu ◽  
Ying Jie Chen
Keyword(s):  
Rectangular Plate ◽  
Forced Vibration ◽  
Stable Solution ◽  
Uniform Load ◽  
Mixed Variables

In this paper, applying the principle of mixed variables solve the problems of forced vibration of the rectangular plate by uniform load , the stable solution of the cantilever plates by uniform load can be worked out. The results by calculating not only it have academic value, but also it can be directly referred in the actual work.

Free and forced vibration analysis of arbitrarily supported rectangular plate systems with attachments and openings

2018 ◽  
Vol 171 ◽  
pp. 1036-1046 ◽  
Author(s):  
Dae Seung Cho ◽  
Jin-Hyeong Kim ◽  
Tae Muk Choi ◽  
Byung Hee Kim ◽  
Nikola Vladimir
Keyword(s):  
Rectangular Plate ◽  
Forced Vibration ◽  
Vibration Analysis ◽  
Forced Vibration Analysis

Forced Vibration of a Clamped Rectangular Plate in Fluid Media

1955 ◽  
Vol 22 (4) ◽  
pp. 568-572
Author(s):  
Gordon C. K. Yeh ◽  
Johann Martinek
Keyword(s):  
Plane Wave ◽  
Rectangular Plate ◽  
Forced Vibration ◽  
High Frequency ◽  
Equations Of Motion ◽  
Shape Functions ◽  
Lagrange Equations ◽  
Fluid Media ◽  
Set Up ◽  
Plate Deflection

Abstract Forced vibration of a thin rectangular plate clamped in a rigid infinite baffle is analyzed. The plate is assumed to separate two different fluid media and the vibration is excited by a simple plane wave of high frequency (as compared with c / 2 π ab ) normally incident from one side of the plate. Using the characteristic shape functions, the Lagrange equations of motion of the plate are set up in generalized co-ordinates. The solutions of the equations render series expressions for the plate deflection and an energy-transmission coefficient. Certain numerical results are given.

Nonlinear Forced Vibration Analysis for Thin Rectangular Plate on Nonlinear Elastic Foundation

2012 ◽  
Vol 204-208 ◽  
pp. 4716-4721 ◽  
Author(s):  
Yong Gang Xiao ◽  
Cui Ping Yang ◽  
Hui Hu
Keyword(s):  
Rectangular Plate ◽  
Elastic Foundation ◽  
Forced Vibration ◽  
Vibration Analysis ◽  
Thin Rectangular Plate ◽  
Nonlinear Elastic Foundation ◽  
Nonlinear Forced Vibration ◽  
Forced Vibration Analysis ◽  
Nonlinear Elastic ◽  
Free Edges

In this paper, nonlinear forced vibration analysis for thin rectangular plate with four free edges on nonlinear elastic foundation is researched. Based on Hamilton variation principle, the equations of nonlinear vibration motion for the thin rectangular plate under period loads on nonlinear elastic foundation are established. In the case of four free edges, the suitable expressions of trial functions satisfied all boundary conditions for the problem are proposed. Then, we convert the equations to a system of nonlinear algebraic equations by using Galerkin method and they are solved by using harmonic balance method. In the analysis of numerical computations, the effect to the amplitude-frequency characteristic curve which due to change of the structural parameters of plate、the parameters of foundation and the parameters of excitation force are discussed.

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