Dynamic Response of a Rectangular Plate With Initial Imperfections Under Large In-Plane Forces

1982 ◽  
Vol 104 (2) ◽  
pp. 432-438
Author(s):  
H. Pasic ◽  
D. Juricic ◽  
G. Herrmann
Keyword(s):  
Dynamic Response ◽  
Rectangular Plate ◽  
Free Vibrations ◽  
Load Level ◽  
Critical Force ◽  
Simply Supported ◽  
Initial Imperfections ◽  
Initial Irregularity ◽  
Short Time ◽  
Plate Geometry

This paper presents an analysis of the response of an imperfect, finite, simply-supported, rectangular plate under an in-plane above-critical force applied during a short time at one of the edges in the direction perpendicular to the edge. The influence of the initial irregularities on the overall response during and after load application is analyzed. The results indicate that the frequency spectrum of free vibrations, after removal of the load, is controlled by the initial irregularity distribution, the plate geometry, and the load level.

Response of Elastic Bodies to a Uniformly Accelerating Point Force

1970 ◽  
Vol 92 (2) ◽  
pp. 400-403
Author(s):  
T. F. Raske ◽  
Ki Sub Joung
Keyword(s):  
Cylindrical Shell ◽  
Dynamic Response ◽  
Rectangular Plate ◽  
Linear Theory ◽  
Point Force ◽  
Simply Supported Beam ◽  
Simply Supported ◽  
Shallow Cylindrical Shell ◽  
Elastic Bodies ◽  
Constant Magnitude

An analysis based upon linear theory is presented for determining the dynamic response of a simply supported beam, rectangular plate and shallow cylindrical shell to a point force of variable magnitude uniformly accelerating across the surface of these elastic bodies. It is shown that resonant conditions are not associated with problems of this type. Typical deflection profiles are included for a constant magnitude point force accelerating across a beam.

Dynamic Shear Response of Rectangular Plates with Initial Imperfections

1980 ◽  
Vol 102 (4) ◽  
pp. 769-775
Author(s):  
H. Pasic ◽  
G. Herrmann
Keyword(s):  
Free Vibrations ◽  
Elastic Response ◽  
Rectangular Plates ◽  
Frequency Spectra ◽  
Initial Imperfections ◽  
Normal Forces ◽  
Plane Normal ◽  
Distribution Plate ◽  
Plate Geometry ◽  
Inertia Forces

The paper presents an analysis of the elastic response of a simply supported, imperfect, rectangular plate subjected to an in-plane supercritical shear force, suddenly applied at one of the edges in the form of a square pulse. The influence of the initial plate irregularities on the overall response during both loading and postloading period is investigated. The averaged in-plane inertia forces are taken into account. The analysis is an extension of the studies of the response to in-plane normal forces of plates of infinite width and finite length given in [1], and of a finite plate given in [2]. The results indicate that the frequency spectra of free vibrations during the post-loading regime are controlled by the initial irregularities distribution, plate geometry and the load levels.

Large Deflection of a Rectangular Plate Resting on a Pasternak-Type Elastic Foundation

1977 ◽  
Vol 44 (3) ◽  
pp. 509-511 ◽  
Author(s):  
P. K. Ghosh
Keyword(s):  
Rectangular Plate ◽  
Elastic Foundation ◽  
Large Deflection ◽  
Lateral Load ◽  
Bending Moments ◽  
Shear Forces ◽  
Simply Supported ◽  
Base Parameters ◽  
Square Plate

The problem of large deflection of a rectangular plate resting on a Pasternak-type foundation and subjected to a uniform lateral load has been investigated by utilizing the linearized equation of plates due to H. M. Berger. The solutions derived and based on the effect of the two base parameters have been carried to practical conclusions by presenting graphs for bending moments and shear forces for a square plate with all edges simply supported.

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.

Analysis of a simply supported laminated anisotropic rectangular plate

AIAA Journal ◽  
1970 ◽  
Vol 8 (1) ◽  
pp. 28-33 ◽  
Author(s):  
J. M. WHITNEY ◽  
A. W. LEISSA
Keyword(s):  
Rectangular Plate ◽  
Simply Supported
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