Method of investigating nonlinear dynamics problems of rectangular plates with initial imperfections

1986 ◽  
Vol 22 (2) ◽  
pp. 162-168 ◽  
Author(s):  
V. N. Pilipchuk
Keyword(s):  
Nonlinear Dynamics ◽  
Rectangular Plates ◽  
Initial Imperfections ◽  
Dynamics Problems

scholarly journals Nonlinear dynamics of rectangular plates: investigation of modal interaction in free and forced vibrations

2013 ◽  
Vol 225 (1) ◽  
pp. 213-232 ◽  
Author(s):  
Michele Ducceschi ◽  
Cyril Touzé ◽  
Stefan Bilbao ◽  
Craig J. Webb
Keyword(s):  
Nonlinear Dynamics ◽  
Forced Vibrations ◽  
Rectangular Plates ◽  
Modal Interaction ◽  
Free And Forced Vibrations

scholarly journals Regular and Chaotic Dynamics of Flexible Plates

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
J. Awrejcewicz ◽  
E. Yu. Krylova ◽  
I.V. Papkova ◽  
V. A. Krysko
Keyword(s):  
Nonlinear Dynamics ◽  
Hopf Bifurcation ◽  
Chaotic Dynamics ◽  
Rectangular Plates ◽  
Control Parameters ◽  
Periodic Load ◽  
Chaotic Vibrations ◽  
Flexible Plates ◽  
Independent Variable ◽  
Time Periodic

Nonlinear dynamics of flexible rectangular plates subjected to the action of longitudinal and time periodic load distributed on the plate perimeter is investigated. Applying both the classical Fourier and wavelet analysis we illustrate three different Feigenbaum type scenarios of transition from a regular to chaotic dynamics. We show that the system vibrations change with respect not only to the change of control parameters, but also to all fixed parameters (system dynamics changes when the independent variable, time, increases). In addition, we show that chaotic dynamics may appear also after the second Hopf bifurcation. Curves of equal deflections (isoclines) lose their previous symmetry while transiting into chaotic vibrations.

Effect of Imperfections on the Plastic Buckling of Rectangular Plates

1975 ◽  
Vol 42 (1) ◽  
pp. 115-120 ◽  
Author(s):  
K. W. Neale
Keyword(s):  
Experimental Data ◽  
Variational Principle ◽  
Buckling Load ◽  
Rectangular Plates ◽  
Plastic Buckling ◽  
Simply Supported ◽  
Initial Imperfections

The effect of initial imperfections in geometry on the plastic buckling of simply supported compressed rectangular plates is examined. The analysis, which is based on the application of a Reissner-type variational principle, indicates that the buckling load can be highly imperfection-sensitive; and that a consideration of small imperfections in geometry could provide results which compare favorably with experimental data.

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.

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