Exact solutions for the stability of viscoelastic rectangular plate subjected to tangential follower force

2014 ◽  
Vol 84 (7) ◽  
pp. 1081-1089 ◽  
Author(s):  
Yin-Feng Zhou ◽  
Zhong-Min Wang
Keyword(s):  
Exact Solutions ◽  
Rectangular Plate ◽  
Follower Force ◽  
The Stability ◽  
Viscoelastic Rectangular Plate

Vibration Characteristics of the Non-Conservative Thermoelastic Coupling Plate

2011 ◽  
Vol 66-68 ◽  
pp. 551-556
Author(s):  
X. X. Guo
Keyword(s):  
Rectangular Plate ◽  
Differential Quadrature Method ◽  
Coupling Factor ◽  
Vibration Characteristics ◽  
Follower Force ◽  
Quadrature Method ◽  
Thermoelastic Coupling ◽  
Coupled Modes ◽  
Simply Supported ◽  
The Stability

The vibration characteristics of the thermoelastic coupling rectangular plate under the action of uniformly distributed tangential follower force are investigated. The coupled thermoelastic differential equation of the plate under the action of uniformly distributed tangential follower force was derived. Dimensionless complex frequencies of the thermoelastic coupling rectangular plate with one edge clamped and other three edges simply supported, two opposite edges simply supported and other two edges clamped were calculated by the differential quadrature method. The effects of the dimensionless thermoelastic coupling factor on the stability and critical load of the thin plate were analyzed. The results show that the flutter loads of the coupled modes increase with the increase of the dimensionless coupled thermoelastic factor and the aspect ratio.

scholarly journals Postbuckling Analysis Of A Rectangular Plate Loaded In Compression

2015 ◽  
Vol 15 (2) ◽  
Author(s):  
Jozef Havran ◽  
Martin Psotný
Keyword(s):  
Rectangular Plate ◽  
User Program ◽  
Nonlinear Fem ◽  
Buckling Mode ◽  
Energy Principle ◽  
Initial Imperfections ◽  
Potential Energy Principle ◽  
Total Potential ◽  
The Stability ◽  
Minimum Total Potential Energy

Abstract The stability analysis of a thin rectangular plate loaded in compression is presented. The nonlinear FEM equations are derived from the minimum total potential energy principle. The peculiarities of the effects of the initial imperfections are investigated using the user program. Special attention is paid to the influence of imperfections on the post-critical buckling mode. The FEM computer program using a 48 DOF element has been used for analysis. Full Newton-Raphson procedure has been applied.

Stability of Transverse Waves in a Spinning Membrane Disk

1973 ◽  
Vol 40 (1) ◽  
pp. 133-136 ◽  
Author(s):  
P. Z. Bulkeley
Keyword(s):  
Exact Solutions ◽  
Nonlinear Vibration ◽  
Nonlinear Equations ◽  
Transverse Waves ◽  
Disk Rotation ◽  
The Stability ◽  
Direction Opposite ◽  
Membrane Disk

The stability of three known exact solutions to the nonlinear equations governing free transverse motions of spinning membrane disks is investigated for a particular choice of perturbations. A wave which travels circumferentially in the disk in the direction opposite to its rotation is shown to be infinitesimally unstable. A wave traveling in the direction of disk rotation and a nonlinear vibration are not shown to be unstable.

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