Effect of forcing frequency on nonlinear dynamic pulse buckling of imperfect rectangular plates with different boundary conditions

2016 ◽  
Vol 107 ◽  
pp. 57-65 ◽  
Author(s):  
H. Ramezannezhad Azarboni ◽  
M. Darvizeh ◽  
A. Darvizeh ◽  
R. Ansari
Keyword(s):  
Boundary Conditions ◽  
Nonlinear Dynamic ◽  
Rectangular Plates ◽  
Different Boundary Conditions ◽  
Pulse Buckling ◽  
Dynamic Pulse

An exact solution for free vibration of thin functionally graded rectangular plates

2010 ◽  
Vol 225 (3) ◽  
pp. 526-536 ◽  
Author(s):  
A Hasani Baferani ◽  
A R Saidi ◽  
E Jomehzadeh
Keyword(s):  
Free Vibration ◽  
Boundary Conditions ◽  
Natural Frequencies ◽  
Equations Of Motion ◽  
Vibration Characteristics ◽  
Functionally Graded ◽  
Mode Shapes ◽  
Rectangular Plates ◽  
Functionally Graded Plates ◽  
Different Boundary Conditions

The aim of this article is to find an exact analytical solution for free vibration characteristics of thin functionally graded rectangular plates with different boundary conditions. The governing equations of motion are obtained based on the classical plate theory. Using an analytical method, three partial differential equations of motion are reformulated into two new decoupled equations. Based on the Navier solution, a closed-form solution is presented for natural frequencies of functionally graded simply supported rectangular plates. Then, considering Levy-type solution, natural frequencies of functionally graded plates are presented for various boundary conditions. Three mode shapes of a functionally graded rectangular plate are also presented for different boundary conditions. In addition, the effects of aspect ratio, thickness—length ratio, power law index, and boundary conditions on the vibration characteristics of functionally graded rectangular plates are discussed in details. Finally, it has been shown that the effects of in-plane displacements on natural frequencies of functionally graded plates under different boundary conditions have been studied.

scholarly journals Influence of Boundary Conditions on Sound Radiation Characteristic from Rectangular Plates

2007 ◽  
Vol 26 (2) ◽  
pp. 115-133 ◽  
Author(s):  
Yufeng Qiao ◽  
Qibai Huang ◽  
Linling Li
Keyword(s):  
Boundary Conditions ◽  
Analytical Method ◽  
Numerical Experiments ◽  
Sound Radiation ◽  
Radiation Characteristic ◽  
Transverse Displacement ◽  
Rectangular Plates ◽  
Different Boundary Conditions ◽  
Displacement Response ◽  
Different Types

The influence of boundary conditions on the sound radiation characteristic from rectangular plates is studied in this paper. Using an analytical method, the transverse displacement response of vibrating rectangular plates is presented. Some numerical experiments are also done. Five different types of boundary conditions are analyzed and calculated as examples for comparing the influence of different boundary conditions. Rectangular plates under different force points and different thicknesses are also studied for further verifying the influence of boundary conditions.

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