On the computation of moving mass/beam interaction utilizing a semi-analytical method

Nikkhoo, Ali; Farazandeh, Ali; Hassanabadi, Mohsen Ebrahimzadeh

doi:10.1007/s40430-014-0277-1

Cited by 13 publications

(8 citation statements)

References 19 publications

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“…Exploiting a procedure based on the COPs in the Rayleigh-Ritz method, the shape functions for the singlespan beam can be computed for any boundary condition, see e.g., [26,27]. In this context, the first shape function ϕ 1 (x) is assumed as a polynomial function of order four, to satisfy the natural and geometrical BCs [28]. Accordingly:…”

Section: Appendixmentioning

confidence: 99%

Simplified modeling of beam vibrations induced by a moving mass by regression analysis

Nikkhoo

Farazandeh

Hassanabadi³

et al. 2015

Acta Mech

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In this paper, we propose a fast computation of beam-type dynamic response to a moving mass.\ud Dynamics of a single-span beam is first accurately computed with a semi-analytical procedure based on\ud characteristic orthogonal polynomials (COPs), in the case of a force or a mass traveling across. A regression\ud analysis is then adopted to automatically define the effects of the moving mass once the effects of the moving\ud force are known. Best-fitting multivariable correlation splines, with strictly given coefficients, are obtained.\ud The provided correlation splines conveniently interpolate the maximum design parameters of the base beam\ud over a wide range of load inertia and velocity. Results provided are valid for any geometry and elastic stiffness\ud of the beam, thanks to a properly set normalization factor here defined. Hence, practitioners are provided with\ud an effortless and highly simplified direct prediction of design parameters when inertial interactions are taken\ud into consideration

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Section: Appendixmentioning

confidence: 99%

Simplified modeling of beam vibrations induced by a moving mass by regression analysis

Nikkhoo

Farazandeh

Hassanabadi³

et al. 2015

Acta Mech

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“…Vibrations of solid beam and plate structures acted upon by moving loads [31][32][33][34][35][36][37], moving masses [38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54], and moving mass-sprung systems [55][56][57] have been examined. Kiani et al.…”

Section: Introductionmentioning

confidence: 99%

An exact solution to the problems of flexo-poro-elastic structures rested on elastic beds acted upon by moving loads

2019

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This paper aims to examine flexural vibrations of fully saturated poroelastic structures on an elastic bed subjected to moving point loads via an analytical solution. Using a flexural beam model in conjunction with the Biot's poro-elasticity theory, the equations of motion of the porous structure are derived. Using assumed mode method and Laplace transform, the explicit expressions of displacement and pore pressure are obtained carefully.For a particular case, the predicted results are also compared with those of another work and a reasonably good agreement is achieved. The influences of the moving load velocity, permeability ratio, transverse stiffness of the foundation, viscosity of the pore fluid, and porosity on the maximum elasto-dynamic fields and pore pressure are conclusively discussed.The velocity pertinent to the maximum possible dynamic response is graphically determined and the roles of influential parameters on this crucial factor are displayed. The present model could be easily extended to multi-layered poroelastic structures under moving loads.

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“…Tian et al simplified the composite rail as an elastic foundation beam and analyzed its mechanical characteristics [13]. Hassanabadi, Attari, and Nikkhoo et al made several investigations on the dynamics response of thin/thick subjected to moving mass by semi-analytical approaches [14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Dynamic Response of Double Elastic Cantilever Beam Attributed to Variable Uniformly Distributed Load

Wei

2019

Mathematical Problems in Engineering

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Based on the double-layer elastic foundation beam theory, the rails and the wall plates of the electromagnetic launching device are modeled as a double-layer elastic cantilever foundation beam. After establishing the kinetic differential equation and setting the boundary condition of the cantilever beam, the displacement solution of double-layer elastic cantilever foundation beam under no load condition is obtained. Applying the Heaviside Function, the deflection equation of the upper and lower beam, the expression of the bending moment, and the stress are obtained. In the case of given motion parameters and structural parameters, the analytical solutions of the rail and the wall plate are calculated. The ANSYS numerical analysis is carried out under the same condition and the results of both solutions are in good agreement. The results can provide theoretical basis for the design of strength and stiffness of the electromagnetic launch device.

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On the computation of moving mass/beam interaction utilizing a semi-analytical method

Cited by 13 publications

References 19 publications

Simplified modeling of beam vibrations induced by a moving mass by regression analysis

Simplified modeling of beam vibrations induced by a moving mass by regression analysis

An exact solution to the problems of flexo-poro-elastic structures rested on elastic beds acted upon by moving loads

Dynamic Response of Double Elastic Cantilever Beam Attributed to Variable Uniformly Distributed Load

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