Geometrically non-linear transverse vibrations of C–S–S–S and C–S–C–S rectangular plates

SummaryThe paper presents a solution of the non-linear problem of the deformation of slender rectangular plates which are stiffened along their edges by elastically compressible stiffeners flexible in the plane of the plate. The webplate is assumed to be simply-supported along its contour. Numerical results showing the effect of flexural and normal rigidity of stiffeners are given for a square webplate loaded by shear and compression.

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Non-Linear vibrations and chaos in harmonically excited rectangular plates with one-to-one internal resonance

Nonlinear Dynamics ◽

10.1007/bf00053690 ◽

1993 ◽

Vol 4 (5) ◽

pp. 433-460 ◽

Cited By ~ 55

Author(s):

S. I. Chang ◽

A. K. Bajaj ◽

C. M. Krousgrill

Keyword(s):

Internal Resonance ◽

Rectangular Plates ◽

Non Linear ◽

Linear Vibrations ◽

One To One

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Transverse vibrations of orthotropic, non-homogeneous rectangular plates

Fibre Science and Technology ◽

10.1016/0015-0568(84)90024-1 ◽

1984 ◽

Vol 21 (2) ◽

pp. 125-133 ◽

Cited By ~ 8

Author(s):

Patricio A.A. Laura ◽

Roberto H. Gutierrez

Keyword(s):

Rectangular Plates ◽

Transverse Vibrations

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Application of large-deflection theory to normally loaded rectangular plates with clamped edges

Journal of Strain Analysis ◽

10.1243/03093247v052140 ◽

1970 ◽

Vol 5 (2) ◽

pp. 140-144 ◽

Cited By ~ 1

Author(s):

A Scholes

Keyword(s):

Large Deflection ◽

Rectangular Plates ◽

Simply Supported ◽

Aspect Ratios ◽

Non Linear ◽

Deflection Theory ◽

Large Deflection Theory ◽

Clamped Edges ◽

Clamped Edge ◽

Good Agreement

A previous paper (1)∗described an analysis for plates that made use of non-linear large-deflection theory. The results of the analysis were compared with measurements of deflections and stresses in simply supported rectangular plates. In this paper the analysis has been used to calculate the stresses and deflections for clamped-edge plates and these have been compared with measurements made on plates of various aspect ratios. Good agreement has been obtained for the maximum values of these stresses and deflections. These maximum values have been plotted in such a form as to be easily usable by the designer of pressure-loaded clamped-edge rectangular plates.

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Large deflection of plates and beams obeying non-linear stress—strain laws

Journal of Strain Analysis ◽

10.1243/03093247v093178 ◽

1974 ◽

Vol 9 (3) ◽

pp. 178-184 ◽

Cited By ~ 1

Author(s):

K R Rushton ◽

P M Hook

Keyword(s):

Finite Difference ◽

Large Deflection ◽

Experimental Results ◽

Large Deflections ◽

Rectangular Plates ◽

Dynamic Relaxation ◽

Stress Strain ◽

Finite Difference Technique ◽

Non Linear ◽

Alternative Solutions

The large deflections of rectangular plates and beams obeying a non-linear stress-strain law are examined. Solutions are obtained by use of dynamic relaxation, a numerical finite-difference technique. Comparisons are made with alternative solutions and experimental results. The effects of varying parameters in the non-linear expressions are considered.

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