Efficient analysis of plates on nonlinear foundations

Farid, Ahmed Fady; Reda, Marina; Rashed, Youssef F.

doi:10.1016/j.enganabound.2017.07.003

Cited by 8 publications

(2 citation statements)

References 30 publications

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“…Özdemir [14,15] investigated the static performance, free vibration properties, and transient response of thick plates resting on the elastic Winkler foundation with the finite element method. Farida et al [16] presented the efficient analysis of plates resting on an elastic half-space foundation using the boundary element method. Ragba et al [17] used convolution and indirect meshless techniques to obtain the vibration performance of irregular composite plates on the linear and parabolic Winkler foundations.…”

Section: Introductionmentioning

confidence: 99%

Bending Analysis of Stepped Rectangular Plates Resting on an Elastic Half-Space Foundation

Zhang

2023

Buildings

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In this paper, the bending behavior of rectangular plates with stepped thickness resting on an elastic half-space foundation is investigated through an analytic method. Combined with the bending theory of the rectangular thin and moderately thick plate, the stepped rectangular plate is divided into upper and lower plates, and the Fourier series is used to obtain the analytical solution of the deflection of the plate and the interaction force between the plate and foundation. The influence of the elastic modulus of the plate, plate theory, and the dimension of the plate on the deflection of the stepped rectangular plate is also discussed. The results show that the analytical solution is basically the same as the existing research results, and it is also verified by the analysis results of the models established by ABAQUS software. The deflection at the center of the stepped rectangular plate increases with the increase of the elastic modulus of the upper plate and the decrease of the side length of the upper plate, while the plate theory has little effect on the deflection of the plate. This method not only overcomes some of the disadvantages of numerical methods but also eliminates the assumptions of the Winkler foundation model and the two-parameter foundation model, thus obtaining a more reasonable and accurate bending performance of the stepped rectangular plate resting on the elastic half-space foundation.

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Section: Introductionmentioning

confidence: 99%

Bending Analysis of Stepped Rectangular Plates Resting on an Elastic Half-Space Foundation

Zhang

2023

Buildings

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“…The analysis of a Mindlin-Reissner plate on an elastic half space (EHS) is presented in [8]. This analysis has been extended in [9] to account for the nonlinearity of the soil using an iterative procedure. A similar approach is presented in [10] to solve for a tensionless foundation.…”

Section: Introductionmentioning

confidence: 99%

Bem-Based Formulation for the Analysis of Multi-Story Buildings Including Soilstructure Interaction

Abdelhady

Farid

Rashed

et al. 2021

WIT Transactions on Engineering Sciences

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Modeling and analyzing multi-story buildings is an important part of structural engineering. Typically, this analysis is carried out using the finite element method by assembling the stiffness matrices of the floor elements and the vertical supporting elements at the intersecting nodes. Any consideration of soilstructure interaction (SSI) is often simplified using a Winkler model. However, the procedure for modeling practical buildings of complex geometries using the finite element method can be cumbersome. Alternatively, a new formulation that is based on the boundary element method (BEM) is presented that provides a seamless procedure for modeling practical buildings as the discretization of the floors is done at the floor perimeter and SSI is modeled using an elastic half space (EHS) model. The stiffness matrices of the slab and raft are generated using the BEM by introducing an additional collocation scheme at their intersection with the columns and the underlying soil. Columns are modeled as skeletal frame elements and the floors are considered as rigid diaphragms in their planes. Soil is modeled as an EHS and its stiffness matrix is derived based on the Bousinessq solution of an elastic, isotropic, homogenous, and infinite thickness half space. Assembly of the overall building stiffness matrix is carried out using the well-known assembly procedure associated with the stiffness analysis method. The proposed methodology is validated by comparing the results against the more traditional finite element approach. An illustrative example is solved showing agreement of the results between the proposed methodology and the finite element method.

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Weak-form differential quadrature element analysis of plate on a tensionless and frictional foundation using a higher-order kinematics

Zhong

et al. 2023

Applied Mathematical Modelling

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Efficient analysis of plates on nonlinear foundations

Cited by 8 publications

References 30 publications

Bending Analysis of Stepped Rectangular Plates Resting on an Elastic Half-Space Foundation

Bending Analysis of Stepped Rectangular Plates Resting on an Elastic Half-Space Foundation

Bem-Based Formulation for the Analysis of Multi-Story Buildings Including Soilstructure Interaction

Weak-form differential quadrature element analysis of plate on a tensionless and frictional foundation using a higher-order kinematics

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