Axisymmetric bending for thick laminated circular plate under a concentrated load

2000 ◽  
Vol 21 (1) ◽  
pp. 95-102
Author(s):  
Sheng Hongyu ◽  
Fan Jiarang
Keyword(s):  
Circular Plate ◽  
Concentrated Load ◽  
Axisymmetric Bending ◽  
Laminated Circular Plate

Bending of a Cylindrically Aeolotropic Circular Plate With Eccentric Load

1952 ◽  
Vol 19 (1) ◽  
pp. 9-12
Author(s):  
A. M. Sen Gupta
Keyword(s):  
Boundary Conditions ◽  
Circular Plate ◽  
Uniform Thickness ◽  
Eccentric Load ◽  
Concentrated Load ◽  
Different Boundary Conditions ◽  
Small Deflection ◽  
Deflection Theory ◽  
Clamped Edge

Abstract The problem of small-deflection theory applicable to plates of cylindrically aeolotropic material has been developed, and expressions for moments and deflections produced have been found by Carrier in some symmetrical cases under uniform lateral loadings and with different boundary conditions. The author has also found the moments and deflection in the case of an unsymmetrical bending of a plate loaded by a distribution of pressure of the form p = p0r cos θ, with clamped edge. The object of the present paper is to investigate the problem of the bending of a cylindrically aeolotropic circular plate of uniform thickness under a concentrated load P applied at a point A at a distance b from the center, the edge being clamped.

Bending of Circular and Ring-Shaped Plates on an Elastic Foundation

1954 ◽  
Vol 21 (1) ◽  
pp. 45-51
Author(s):  
Herbert Reismann
Keyword(s):  
Circular Plate ◽  
Elastic Foundation ◽  
Series Solution ◽  
Circular Disk ◽  
Symmetric Problem ◽  
Concentrated Load ◽  
Transverse Loads ◽  
Infinite Extent ◽  
Theory Of Plates ◽  
Pure Moment

Abstract This paper develops a method for the evaluation of deflections, moments, shears, and stresses of a circular or ring-shaped plate on an elastic foundation under transverse loads. A series solution is derived for plates subjected to edge and/or concentrated loads and is given in terms of tabulated functions. It is exact within the assumptions underlying the classical theory of plates and includes, as a particular case, the known solution of the corresponding radially symmetric problem. Two examples displaying radial asymmetry are worked. A solution is given for (a) a circular plate resting on an elastic foundation, clamped at the boundary and subjected to an arbitrarily placed concentrated load, and (b) a plate of infinite extent, resting on an elastic foundation and clamped to the boundary of a rigid circular disk to which a pure moment is applied.

Isotropic Clamped-Free Thin Annular Circular Plate Subjected to a Concentrated Load

2005 ◽  
Vol 73 (4) ◽  
pp. 658-663 ◽  
Author(s):  
Ajayi O. Adewale
Keyword(s):  
Circular Plate ◽  
Annular Plate ◽  
The Other ◽  
Load Application ◽  
Concentrated Load ◽  
Deflection Coefficient ◽  
Series Approximation ◽  
Radial Moments ◽  
Radial Moment

The problem of an isotropic annular plate clamped along one edge and free at the other and subjected to a concentrated load is solved by a series approximation. The continuity conditions of deflection, slope, shear and radial moments at the radius of load application are satisfied. Variations of deflection coefficient, radial moment coefficients and shear coefficients with radius and angle are presented.

The Free Vibration of the Magneto-Electro-Elastic Materials Laminated Circular Plate

2011 ◽  
Vol 374-377 ◽  
pp. 2193-2199 ◽  
Author(s):  
Qun Guan
Keyword(s):  
Free Vibration ◽  
Circular Plate ◽  
Single Layer ◽  
Transversely Isotropic ◽  
State Variables ◽  
Vibration Properties ◽  
Elastic Circular Plate ◽  
Symmetric Deformation ◽  
Laminated Circular Plate ◽  
The Given

In this paper, on the basis of the dynamic equation of material which contains transversely isotropic piezoelectric、piezomagnetic and elastic media, the state variables equation of piezoelectric、piezomagnetic and elastic circular plate in axial symmetric deformation is deduced. Under the given boundary conditions, according to the theorem of Caylay-Hamilton and applying the transfer matrix method, the solutions of state variables equation which are about free vibration of piezoelectric、piezomagnetic and elastic circular plate of single layer and multilayered are obtained. The calculation example indicates that from the varying law of the first natural frequency of the plate depending on the thickness-to-radius radio of the plate under varied conditions, the vibration properties of piezoelectric、piezomagnetic and laminated plate is related to the laminatation order of the material is gotten to know.

The deflection of a thin circular plate with an eccentric circular hole

1976 ◽  
Vol 11 (2) ◽  
pp. 107-124 ◽  
Author(s):  
E Ollerton
Keyword(s):  
Circular Plate ◽  
Circular Hole ◽  
Theoretical Investigation ◽  
Outer Edge ◽  
Plate Surface ◽  
Concentrated Load ◽  
Simply Supported ◽  
Thin Circular Plate ◽  
Clamped Edge

A theoretical investigation of the small deflections of a thin circular plate is reported. The plate has a flat circular clamp at the outer edge and a similar clamp at the inner edge, which is placed eccentrically. These supports can be arranged to prescribe either a clamped edge or a simply supported edge, and all combinations of the two types are investigated. The plate can be subjected to a concentrated load at the centre of the inner clamp, moments about two perpendicular axes of the inner clamp, or pressure on the plate surface between the clamps. Deflections and slopes of the inner clamp have been determined, and in all cases the new values tend towards established values for the case of a central inner clamp, as the eccentricity of the inner clamp is reduced.

Sign in / Sign up

Export Citation Format

Share Document