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        Nonlinear vibration of Euler-Bernoulli beams resting on linear elastic foundation

        Mehran Javanmard,Mahdi Bayat,Alireza Ardakani 국제구조공학회 2013 Steel and Composite Structures, An International J Vol.15 No.4

        In this study simply supported nonlinear Euler-Bernoulli beams resting on linear elasticfoundation and subjected to the axial loads is investigated. A new kind of analytical technique for anon-linear problem called He’s Energy Balance Method (EBM) is used to obtain the analytical solution fornon-linear vibration behavior of the problem. Analytical expressions for geometrically non-linear vibrationof Euler-Bernoulli beams resting on linear elastic foundation and subjected to the axial loads are provided. The effect of vibration amplitude on the non-linear frequency and buckling load is discussed. The variationof different parameter to the nonlinear frequency is considered completely in this study. The nonlinearvibration equation is analyzed numerically using Runge-Kutta 4th technique. Comparison of Energy BalanceMethod (EBM) with Runge-Kutta 4th leads to highly accurate solutions.

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        Numerical modeling of soil nail walls considering Mohr Coulomb, hardening soil and hardening soil with small-strain stiffness effect models

        Ardakani, Alireza,Bayat, Mahdi,Javanmard, Mehran Techno-Press 2014 Geomechanics & engineering Vol.6 No.4

        In an attempt to make a numerical modeling of the nailed walls with a view to assess the stability has been used. A convenient modeling which can provide answers to nearly situ conditions is of particular significance and can significantly reduce operating costs and avoid the risks arising from inefficient design. In the present study, a nailing system with a excavation depth of 8 meters has been modeled and observed by using the three constitutive behavioral methods; Mohr Coulomb (MC), hardening soil (HS) and hardening soil model with Small-Strain stiffness ensued from small strains (HSS). There is a little difference between factor of safety and the forces predicted by the three models. As extremely small lateral deformations exert effect on stability and the overall deformation of a system, the application of advanced soil model is essential. Likewise, behavioral models such as HS and HSS realize lower amounts of the heave of excavation bed and lateral deformation than MC model.

      • Nonlinear dynamic analysis of soil nail walls considering different modeling approaches

        Mahdi Bayat,Amir Homayoon Kosarieh,Mehran Javanmard 국제구조공학회 2021 Steel and Composite Structures, An International J Vol.39 No.6

        Soil nailing is one of the most common and important techniques to exchange conventional retaining systems for deep excavation. This approach contains a significant saving in cost and time of construction compared to conventional retaining systems. In this paper, an attempt has been made to evaluate the dynamical response of a deep vertical excavation on ground of 8 m height using soil nail wall. It has been tried to investigate the effects of different modeling approaches on the dynamic response of soil-nailed walls by considering the three behavioral methods; Mohr Coulomb (MC), hardening soil (HS) and hardening soil model with Small-Strain stiffness ensued from small strains (HSS). Nonlinear time history analysis has been implemented to compare the displacements under the sinus excitation with 0.5, 1, and 1.5 Hz with PGA= 0.3 g. Different points along the height of the wall are selected and considered. At the last part of this paper, incremental dynamic analysis (IDA) was implemented to the soil nail wall to consider the effect of the different earthquake records on the response of the wall. The IDA curve is also presented for the considered soil nail wall.

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