Large Deflection Static and Dynamic Analysis of Thin Circular Plates Resting on Two-Parameter Elastic Foundation: HDQ/Fd Coupled Methodology Approaches

Abstract

An analysis of the geometrically nonlinear dynamics of thin circular plates on a two parameter elastic foundation is presented in this paper. The nonlinear partial differential equations obtained from von Karman's large deflection plate theory have been solved by using the harmonic differential quadrature method in the space domain and the finite difference numerical integration method in the time domain. Winkler-Pasternak foundation model is considered and the influence of stiffness of Winkler (K) and Pasternak (G) foundation on the geometrically nonlinear analysis of the circular plates has been investigated.Numerical examples demonstrate the satisfactory accuracy, efficiency and versatility of the presented approach. From the numerical computation, it can be concluded that the present coupled methodology is an efficient method for the nonlinear static and dynamic analysis of circular plates with or without an elastic medium.

Dynamic behaviour under moving concentrated masses of simply supported rectangular plates resting on variable Winkler elastic foundation

“…Recently, several other researchers have made tremendous efforts in the study of dynamics of structures under moving loads, these include Oni [13], Oni and Omolofe [17], Oni and Awodola [14], Omer and Aitung [2], Adams [1], Savin [20], Jia-Jang [23]. In all of these, considerations have been limited to cases of one-dimensional (beam) problems.…”

Effect of Opening on Behavior of Raft Foundations Resting On Different Types of Sand Soil

“…Extensive research work has been carried out and published in the past decades and different analysis methods have been developed to design the raft foundations which are varying from conventional manual calculation methods to most modern computer based methods. [1][2][3][4][5][6][7]9,10] In the design of raft foundations, the soil can be treated as a series of individual springs which known as a Winkler model or as a continuum. The Winkler model treats the soil as a series of springs and it assumes that the pressure at any point on the surface of the soil is related to the modulus of subgrade reaction which is known as the Winkler spring stiffness and the deflection of the soil.The spring stiffness depends on the settlement characteristic of the soil and the geometry of the foundation.…”

“…The soil parameters used in this approach depend on the field stress state. [1][2][3][4][5][6][7]9,10] Openings may be found in raft foundations to access ports for mechanical, electrical systems and hydraulic lines. These openings will result in high stress concentrations at the vicinity of the opening, change the mechanical behavior of raft and complicate the stress distribution in the raft.…”

“…In the literature, most studies in the analysis of raft foundations have been focused on rafts which are continuous and resting on elastic springs which are Winkler model. [1][2][3][4][5][6][7][8][9][10] Therefore, the aim of this study is to demonstrate the effect of opening position and type of soil on the behavior of raft foundations using the finite element programPLAXIS 3D. Square raft foundations loaded with columns loads are considered resting onthree different types ofsoil which are loose sand, medium dense sand and dense sand.…”

Dynamic response to moving masses of rectangular plates with general boundary conditions and resting on variable winkler foundation

“…He analyzed the effects of this moving force on beams with and without an elastic foundation. Using a considerably simpler vector formulation with a Laplace rather than Fourier transformation, Steele [10] presented a review of the transient response of the BernoulliEuler beam and the Timoshenko beam on elastic foundation due to moving loads Several researchers have also made tremendous efforts in the study of dynamics of structures under moving loads [11,12,13,14,15,16,17,18]. Recently, Oni and Awodola [19] considered the dynamic response under a moving load of an elastically supported non-prismatic Bernoulli-Euler beam on variable elastic foundation.…”