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عنوان فارسی مقاله:

راه حل تحلیلی برای پرتوها با شرایط مرزی در پایه الاستیک دو پارامتری


عنوان انگلیسی مقاله:

Analytical solution for beams with multipoint boundary conditions on two-parameter elastic foundations


سال انتشار : 2016



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مقدمه انگلیسی مقاله:

1. Introduction

Recent developments in computer science and mathematics and the need for accurate solutions to problems have resulted in the development of analytical [1] and semi-analytical or discrete-continual methods [2]. For practical problems, it is often more suitable and easier to use an analytical solution than to employ an expensive finite element method (FEM)- based software. Analytical solutions employ a mathematical expression that yields the values of the unknown quantities at any location on a body (the total structure or physical system of interest) and are valid for an infinite number of locations. This property considerably reduces the computational complexity of the problem, an issue that requires special consideration in numerical methods [3]. Akimov and Sidorov [4] proposed an analytical solution to multipoint boundary problems for systems of ordinary differential equations with piecewise constant coefficients. Their method can be applied to continuous beams, which is a leading engineering problem. Beams in different types of bridges, continuous beams of multi-span girders [5], long strip foundations of buildings, and railroad and retaining walls [6] are includedinthis type ofproblem.Themostimportant applicationof the proposed method is an analytical solution to continuous beams onelastic foundations. The method can also be appliedto beams with structural or foundation discontinuities (changes in the elastic property or cross-section of the beam or stiffness of the soil) for beams without foundations by changing the coefficient matrix at the relevant interval.



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کلمات کلیدی:

Beam on Tensionless Elastic Foundation: Journal of Engineering ... ascelibrary.org/doi/abs/10.1061/(ASCE)0733-9399(1987)113%3A4(542)?mobileUi... An infinitely long elastic beam rests under gravity on a tensionless elastic ... for beams with multipoint boundary conditions on two-parameter elastic foundations. [PDF]three-parameter elastic foundation model of frp ... - IIFC-HQ.ORG www.iifc-hq.org/proceedings/APFIS_2007/.../V2-H4-APFIS-202-camera%20ready.p... by JL Wang - ‎2007 - ‎Cited by 2 - ‎Related articles However, this model can't satisfy the zero shear stress boundary condition because ... The interface stresses predicted by the two-parameter elastic foundation ...... a RC beam strengthened by a thin FRP plate under three-point bending (Figs. Combined application of finite element method and discrete-continual ... aip.scitation.org/doi/abs/10.1063/1.4973055 by OA Negrozov - ‎2017 - ‎Related articles M. Aslami and P.A. Akimov, Analytical solution for beams with multipoint boundary conditions on two-parameter elastic foundations, Archives of Civil and ... Mojtaba Aslami - Google Scholar Citations scholar.google.ru/citations?user=YZz5VboAAAAJ&hl=en Fasa University - ‎fasau.ac.ir Analytical solution for beams with multipoint boundary conditions on two-parameter elastic foundations. M Aslami, PA Akimov. Archives of Civil and Mechanical ... [PDF]analysis of nonuniform beams on elastic foundations using recursive ... www.engineeringmechanics.cz/pdf/22_2_083.pdf by MT Hassan - ‎2015 - ‎Related articles axially loaded nonuniform beam resting on a two parameter foundation are obtained ... the applications of the boundary conditions at beam ends yield the ... [PDF]Buckling of elastic beams by the Haar wavelet method - Estonian ... www.eap.ee/public/Engineering/2011/issue_3/eng-2011-3-271-284.pdf by Ü Lepik - ‎2011 - ‎Cited by 12 - ‎Related articles Mar 7, 2011 - vibrations of beams on an elastic foundation. Numerical ... singularities, since they can be interpreted as intermediate boundary conditions. 271 ... Glabisz [3] solved the multi-point boundary ... Next, two other parameters are.