The stability of a rectangular plate with allowance for compressibility of the material beyond the elastic limit

1968 ◽  
Vol 4 (3) ◽  
pp. 40-42 ◽  
Author(s):  
A. P. Nikolaev
Keyword(s):  
Rectangular Plate ◽  
Elastic Limit ◽  
The Stability

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.

scholarly journals On the first frequency of reinforced partially hinged plates

2019 ◽  
pp. 1950074 ◽  
Author(s):  
Elvise Berchio ◽  
Alessio Falocchi ◽  
Alberto Ferrero ◽  
Debdip Ganguly
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Eigenvalue Problem ◽  
Rectangular Plate ◽  
Normal Modes ◽  
Weight Coefficient ◽  
First Eigenvalue ◽  
The First Eigenvalue ◽  
Dynamical Properties ◽  
The Stability

We consider a partially hinged rectangular plate and its normal modes. The dynamical properties of the plate are influenced by the spectrum of the associated eigenvalue problem. In order to improve the stability of the plate, we place a certain amount of denser material in appropriate regions. If we look at the partial differential equation appearing in the model, this corresponds to insert a suitable weight coefficient inside the equation. A possible way to locate such regions is to study the eigenvalue problem associated to the aforementioned weighted equation. In this paper, we focus our attention essentially on the first eigenvalue and on its minimization in terms of the weight. We prove the existence of minimizing weights inside special classes and we try to describe them together with the corresponding eigenfunctions.

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.

The stability of cracked rectangular plate with variable thickness using phase field method

2018 ◽  
Vol 129 ◽  
pp. 157-165 ◽  
Author(s):  
Phuc Pham Minh ◽  
Thom Van Do ◽  
Doan Hong Duc ◽  
Nguyen Dinh Duc
Keyword(s):  
Rectangular Plate ◽  
Variable Thickness ◽  
Phase Field ◽  
Field Method ◽  
Phase Field Method ◽  
The Stability
Sign in / Sign up

Export Citation Format

Share Document