Buckling of Transverse Stiffened Plates Under Shear

1947 ◽  
Vol 14 (4) ◽  
pp. A269-A274
Author(s):  
Tsun Kuei Wang
Keyword(s):  
Finite Length ◽  
Stiffened Plates ◽  
Rectangular Plates ◽  
Simply Supported

Abstract This paper presents an analysis of buckling of simply supported rectangular plates reinforced by any number of transverse stiffeners and subjected to shearing forces uniformly distributed along the edges. Two cases are considered: (a) The case of a plate with a finite length; (b) one in which the length is infinite. The critical shearing stresses in both cases are expressed in similar forms, that is, τcrd2Ept2=-π4384(1-ν2)drbΩ in Equation (13), and τcrd2Ept2=π224(1-ν2)K in Equation (24), respectively. Design curves are drawn as shown in Figs. 2, 3, and 5.

Vibration of Stiffened Rectangular Plates

1964 ◽  
Vol 68 (648) ◽  
pp. 850-851
Author(s):  
K. T. Sundara Raja Iyengar ◽  
K. S. Jagadish
Keyword(s):  
The Other ◽  
Spring Constant ◽  
Stiffened Plates ◽  
Rectangular Plates ◽  
Simply Supported ◽  
Rayleigh Method ◽  
Free Edges

The vibrations of stiffened plates have been considered by Kirk and Mahalingam. Kirk has treated plates with several stiffeners and also a plate with a single stiffener. For plates with several stiffeners he uses the Rayleigh Method as employed by Warburton. The calculated frequencies have been shown to compare favourably with the experimental frequencies when the stiffness has been taken as ef3/3 for a stiffener. While considering the plate with a single stiffener he has replaced the stiffener by a line of massless springs the spring constant of which is determined on the basis of certain approximations. The Rayleigh method has then been applied to solve the simplified problem. A plate with two opposite edges free and the other two simply supported with a central stiffener parallel to the free edges has also been considered by Kirk.

Vibration of Stiffened Plates

1964 ◽  
Vol 15 (3) ◽  
pp. 285-298 ◽  
Author(s):  
Thein Wah
Keyword(s):  
Boundary Conditions ◽  
Orthotropic Plate ◽  
Natural Frequencies ◽  
General Procedure ◽  
The Other ◽  
Stiffened Plates ◽  
Rectangular Plates ◽  
Arbitrary Boundary ◽  
Simply Supported ◽  
Arbitrary Boundary Conditions

SummaryThis paper presents a general procedure for calculating the natural frequencies of rectangular plates continuous over identical and equally spaced elastic beams which are simply-supported at their ends. Arbitrary boundary conditions are permissible on the other two edges of the plate. The results are compared with those obtained by using the orthotropic plate approximation for the system

Parametric Resonance of Stiffened Rectangular Plates

1972 ◽  
Vol 39 (1) ◽  
pp. 217-226 ◽  
Author(s):  
R. C. Duffield ◽  
N. Willems
Keyword(s):  
Parametric Resonance ◽  
Parametric Instability ◽  
Stiffened Plates ◽  
Rectangular Plates ◽  
Stiffened Plate ◽  
Discrete Elements ◽  
Periodic Force ◽  
Simply Supported ◽  
Dynamic Forces ◽  
Instability Regions

This investigation is concerned with the onset of parametric instability of a simply supported stiffened rectangular plate subjected to in-plane sinusoidal dynamic forces. An analytical analysis is developed for the stiffened plate with the stiffeners treated as discrete elements. The results show that the location and size of the stiffeners have a significant effect on the location and contour of the boundaries of the parametric instability regions when compared with those of a flat unstiffened plate. Experimental verification is obtained for stiffened plates with a single centrally located stiffener transverse to an in-plane periodic force acting on two opposite edges.

Deformation of Rectangular Slender Webplates with Boundary Members Flexible in the Webplate Plane

1966 ◽  
Vol 17 (4) ◽  
pp. 371-394 ◽  
Author(s):  
J. Djubek
Keyword(s):  
Linear Problem ◽  
Numerical Results ◽  
Rectangular Plates ◽  
Simply Supported ◽  
Non Linear

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.

scholarly journals Dual-series equations formulation for static deformation of plates with a partial internal line support

2007 ◽  
Vol 34 (3) ◽  
pp. 221-248 ◽  
Author(s):  
Yos Sompornjaroensuk ◽  
Kraiwood Kiattikomol
Keyword(s):  
Integral Equation ◽  
Fredholm Integral Equation ◽  
Hankel Transform ◽  
Internal Line ◽  
Rectangular Plates ◽  
Simply Supported ◽  
Distributed Load ◽  
Dual Series Equations ◽  
Finite Hankel Transform ◽  
Standard Techniques

The paper deals with the application of dual-series equations to the problem of rectangular plates having at least two parallel simply supported edges and a partial internal line support located at the centre where the length of internal line support can be varied symmetrically, loaded with a uniformly distributed load. By choosing the proper finite Hankel transform, the dual-series equations can be reduced to the form of a Fredholm integral equation which can be solved conveniently by using standard techniques. The solutions of integral equation and the deformations for each case of the plates are given and discussed in details.

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