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A plate on winkler foundation with variable coefficient
, Article Scientia Iranica ; Volume 16, Issue 3 , 2009 , Pages 249-255 ; 10263098 (ISSN) ; Noroozi, M ; Sharif University of Technology
2009
Abstract
Plates on elastic foundations have attracted the attention of many researchers. Some elementary models have been introduced to consider interactions between the plate and its foundation. Other improved models have been proposed to develop basic models. In this work, a model based on the Winkler-foundation theory is proposed, while the constant parameter of Winkler is assumed to be variable; such as non-uniform springs with the functionality of the domain position, along with the plate and beam span in order to consider the non-uniform behavior of the foundation. The governing equation on the system is solved by using the Galerkin method and effects such as the presence of rigid points in the...
Assessing dynamic response of multispan viscoelastic thin beams under a moving mass via generalized moving least square method
, Article Acta Mechanica Sinica/Lixue Xuebao ; Volume 26, Issue 5 , October , 2010 , Pages 721-733 ; 05677718 (ISSN) ; Nikkhoo, A ; Mehri, B ; Sharif University of Technology
Abstract
Dynamic response of multispan viscoelastic thin beams subjected to a moving mass is studied by an efficient numerical method in some detail. To this end, the unknown parameters of the problem are discretized in spatial domain using generalized moving least square method (GMLSM) and then, discrete equations of motion based on Lagrange's equation are obtained. Maximum deflection and bending moments are considered as the important design parameters. The design parameter spectra in terms of mass weight and velocity of the moving mass are presented for multispan viscoelastic beams as well as various values of relaxation rate and beam span number. A reasonable good agreement is achieved between...
Parametric analyses of multispan viscoelastic shear deformable beams under excitation of a moving mass
, Article Journal of Vibration and Acoustics, Transactions of the ASME ; Volume 131, Issue 5 , 2009 , Pages 0510091-05100912 ; 10489002 (ISSN) ; Nikkhoo, A ; Mehri, B ; Sharif University of Technology
2009
Abstract
This paper presents a numerical parametric study on design parameters of multispan viscoelastic shear deformable beams subjected to a moving mass via generalized moving least squares method (GMLSM). For utilizing Lagrange's equations, the unknown parameters of the problem are stated in terms of GMLSM shape functions and the generalized Newmark-β scheme is applied for solving the discrete equations of motion in time domain. The effects of moving mass weight and velocity, material relaxation rate, slenderness, and span number of the beam on the design parameters and possibility of mass separation from the base beam are scrutinized in some detail. The results reveal that for low values of beam...