Efficient Quadrature Solution for Composite Plates with Variable Thickness Resting on Non-Uniform and Nonlinear Elastic Foundation

Ola Ragb Ola Ragb

doi:10.17577/ijertv8is120057

Abstract

Efficient Quadrature Solution for Composite Plates with Variable Thickness Resting on Non-Uniform and Nonlinear Elastic Foundation

Highlights

Non-uniform elastic plates with varying thickness are commonly used in ship and offshore structures, pavement of roads, footing of buildings and bases of machines
For some special cases of variable thickness of rectangular plate, investigations have been made and solutions have been obtained [1,2,3,4].The most commonly used numerical methods for such applications are Spline function approximation technique [5,6], Rayleigh-Ritz method [7,8], Mesh-free method[9], Mixed boundary node method [10], Finite strip method [11] and Finite element method [12], have been widely applied for the plate resting on uniform elastic foundation
Consider a composite consisting of n plates interfacialy bonded with variable thickness h(x,y) and resting on non-uniform and nonlinear elastic foundation of Winkler and uniform Pasternak type, as shown in Fig.(1)

Summary

INTRODUCTION

Non-uniform elastic plates with varying thickness are commonly used in ship and offshore structures, pavement of roads, footing of buildings and bases of machines. For some special cases of variable thickness of rectangular plate, investigations have been made and solutions have been obtained [1,2,3,4].The most commonly used numerical methods for such applications are Spline function approximation technique [5,6], Rayleigh-Ritz method [7,8], Mesh-free method[9], Mixed boundary node method [10], Finite strip method [11] and Finite element method [12], have been widely applied for the plate resting on uniform elastic foundation Most of these studies are computationally expensive. Further a parametric study is introduced to investigate the influence of elastic and geometric characteristics on natural frequencies and mode shapes

FORMULATION OF THE PROBLEM

SOLUTION OF THE PROBLEM

NUMERICAL RESULTS

Results

CONCLUSION