Nonlinear Analysis of Deep Beam Resting on Linear and Nonlinear Random Soil

Proceedings of the 1st International Conference on Numerical Modelling in Engineering

2018

A new model of soil-structure is developed for the probabilistic finite element analysis of flexible beam resting on spatially random nonlinear soil where the Monte Carlo simulations have been used for this purpose. In fact, the present work deals with the evaluation of the effect of the randomness soil's parameters on the nonlinear response of beam resting on nonlinear Winkler-Pasternack foundation. The nonlinear equations of motion are derived using the von-Kàrmàn's nonlinear strain-displacement relationships and have been solved by using the Newton-Raphson iteration method. In this study, the effects of large deflections, coefficient of subgrade reaction, shear deformation, type of foundation on the response of the beam are discussed and special attention is given to estimate the real behavior of the beam. A novelty in the analysis is that the heterogeneity of nonlinear soil is combined to the nonlinearity of beam by taking into account the shear effect where the soil's model's and the spatial variability of its parameters have a strong impact on the response of the structure.

“…The coefficient of soil's subgrade reaction k w is considered constant for linear elastic soil. Thus for elastic nonlinear soil model, the coefficient k w for an element e is [54]:…”

Section: Nonlinear Winkler-pasternack Foundationmentioning

confidence: 99%

“…where k soil = k w = k s and c(D i ) is the variance function [54,55] which depends on the spatial correlation function q(x) and determined by Vanmarcke [46] as:…”

Section: Spatial Variability Modellingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Stochastic Finite Element Analysis of Nonlinear Beam on Winkler-Pasternack Foundation

Proceedings of the 1st International Conference on Numerical Modelling in Engineering

2018

“…In this context Kazi Tani et al [25] presented stochastic finite difference method to study the linear response of pipeline resting on elastic perfectly plastic soil. Moreover, Seguini and Nedjar [26][27][28][29] made an important study and employed the finite element method based on the Von Kármán assumption, combined to the theory of the local average to assess the spatial variability effects and shear deformation on the large deflection of pipe and deep beam resting on linear and nonlinear random soil where the coefficient of subgrade reaction ksoil is considered variable (see Section 3).…”

Section: Introductionmentioning

confidence: 99%

Dynamic and Probabilistic Analysis of Shear Deformable Pipeline Resting on Two Parameter Foundation

Period. Polytech. Civil Eng.

2020

Self Cite

The nonlinear dynamic deterministic and probabilistic analysis of pipeline undergoing large deflections and resting on Winkler-Pasternak foundation have been done. Dynamic analogues of Euler Bernoulli and Timoshenko Von-Kármán type beam equations are used. The stochastic finite element approach based on the Vanmarcke method combined to Monte Carlo simulations has been used to solve the governing nonlinear equations of soil-pipe interaction. The influence of different parameters of random soil is has been analyzed and the obtained results are compared with those obtained from the literature. It is concluded from the present work that the spatial variability of the soil properties has a great impact on the seismic response of the pipe and the developed model which is based on the accurate method is efficient to determine the real response of the safe and economic pipeline.

Machine Learning for Predicting Pipeline Displacements Based on Soil Rigidity

Khatir

Proceedings of the 10th International Conference on Fracture Fatigue and Wear

et al. 2022

Self Cite

This study investigates the impact of the soil rigidity on the mechanical behaviour for linear and nonlinear pipelines. The work is based on the results of a series of mechanical finite element analyses based on the VanMarcke and artificial neural network (ANN). The numerical model is validated based on the literature. Different simulations have been generated to obtain data response of the pipe based on displacement. The predicted results using ANN are compared with VanMarcke to prove the effectiveness and the importance of the probabilistic analysis. The analysis proves that the variation of the coefficient of subgrade reaction can induce a significant displacement of the pipe. The results prove that ANN serves a major role in the evolution of the real displacement of the pipeline and allows us to obtain more precise and interesting results based on both linear and nonlinear cases.