Frequency analysis of finite beams on nonlinear Kelvin–Voight foundation under moving loads

Mojtaba, Ansari; Esmailzadeh, Ebrahim; Younesian, Davood

doi:10.1016/j.jsv.2010.10.005

Cited by 47 publications

(27 citation statements)

References 25 publications

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“…s K is an additional parameter defining the foundation, usually termed as the shear constant of the foundation (Kargarnovin et al 2005, Nguyen and Duhamel 2008, Ansari et al 2011, Basu and Kameswara 2013. By substituting of Eq.…”

Section: Mathematical Modelmentioning

confidence: 99%

Effect of Open Crack on Vibration Behavior of a Fluid-Conveying Pipe Embedded in a Visco-Elastic Medium

Eslami

Maleki

Rezaee

2016

Lat. Am. j. solids struct.

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In this paper vibration behavior of a fluid-conveying cracked pipe surrounded by a visco-elastic medium has been considered. During this work, the effect of an open crack parameters and flow velocity profile shape inside the pipe on natural frequency and critical flow velocity of the system has been analytically investigated. An explicit function for the local flexibility of the cracked pipe has been offered using principle of the fracture mechanics. Comparison between the results of the present study and the experimental data reported in the literature reveals success and high accuracy of the implemented method. It is demonstrated that the existence of the crack in the pipe, decreases the natural frequency and the critical flow velocity so that the system instability onsets at a lower flow velocity in comparison with the intact pipe. Results indicate that the flow velocity profile shape inside the pipe caused by the viscosity of real fluids, significantly affects the critical flow velocity of both intact and fluid-conveying cracked pipe. For instance, as the flow-profilemodification factor decreases from 1.33 to 1.015, the dimensionless critical flow velocity of intact clamped-clamped pipe increases from 5.45 to 6.24.

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Section: Mathematical Modelmentioning

confidence: 99%

Effect of Open Crack on Vibration Behavior of a Fluid-Conveying Pipe Embedded in a Visco-Elastic Medium

Eslami

Maleki

Rezaee

2016

Lat. Am. j. solids struct.

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“…Younesian et al studied strongly nonlinear generalized duffing oscillators [5] by using He's frequency-amplitude formulation and He's energy balance method and then proposed a closed form expression for the dynamic response of an elastic plate rested on a nonlinear elastic Winkler foundation [6]. Ansari et al investigated 2 Shock and Vibration the forced vibration of microbeam structures supported by nonlinear viscoelastic-type foundation [7], Kelvin-Voight foundation [8], and Winkler and Pasternak foundations [9] based on the Galerkin approach and multiple time-scales method. There are many related researches on the Winkler foundation, and we can refer to the relevant refs.…”

Section: Introductionmentioning

confidence: 99%

Free and Forced Vibration of the Moderately Thick Laminated Composite Rectangular Plate on Various Elastic Winkler and Pasternak Foundations

Shi

Zhang

Wang

et al. 2017

Shock and Vibration

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An improved Fourier series method (IFSM) is applied to study the free and forced vibration characteristics of the moderately thick laminated composite rectangular plates on the elastic Winkler or Pasternak foundations which have elastic uniform supports and multipoints supports. The formulation is based on the first-order shear deformation theory (FSDT) and combined with artificial virtual spring technology and the plate-foundation interaction by establishing the two-parameter foundation model. Under the framework of this paper, the displacement and rotation functions are expressed as a double Fourier cosine series and two supplementary functions which have no relations to boundary conditions. The Rayleigh-Ritz technique is applied to solve all the series expansion coefficients. The accuracy of the results obtained by the present method is validated by being compared with the results of literatures and Finite Element Method (FEM). In this paper, some results are obtained by analyzing the varying parameters, such as different boundary conditions, the number of layers and points, the spring stiffness parameters, and foundation parameters, which can provide a benchmark for the future research.

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“…Oni and Awodola (2010) investigated the dynamic response under a concentrated moving mass of an elastically supported non-prismatic BernoullieEuler beam resting on an elastic foundation with stiffness variation. Ansari et al (2010Ansari et al ( , 2011 studied vibration of a finite EulereBernoulli beam traversed by a moving load; the solution was obtained using the Galerkin method in conjunction with the Multiple Scales Method. Yang et al (2010) presented the dynamical behavior of the vehicleepavementefoundation coupled system using the Galerkin method and quick direct integral method.…”

Section: Introductionmentioning

confidence: 99%

Dynamic response of non-uniform beam subjected to moving load and resting on non-linear viscoelastic foundation

Abdelghany

Ewis

Mahmoud

et al. 2015

Beni-Suef University Journal of Basic and Applied Sciences

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Available online xxxKeywords: Dynamic response Non-uniform beam Viscoelastic foundation a b s t r a c t In this paper, it was purposed to comprehend the dynamic response of non-uniform EulereBernoulli simply supported beam which is subjected to moving load. The beam is rested on a nonlinear viscoelastic foundation. Galerkin with Runge-Kutta methods are employed. The influences of variations of the traveling velocity and the effect of increase in the magnitude of the moving load on the dynamic response are studied. A MATLAB code is designed to compute and plot the deflection.

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Frequency analysis of finite beams on nonlinear Kelvin–Voight foundation under moving loads

Cited by 47 publications

References 25 publications

Effect of Open Crack on Vibration Behavior of a Fluid-Conveying Pipe Embedded in a Visco-Elastic Medium

Effect of Open Crack on Vibration Behavior of a Fluid-Conveying Pipe Embedded in a Visco-Elastic Medium

Free and Forced Vibration of the Moderately Thick Laminated Composite Rectangular Plate on Various Elastic Winkler and Pasternak Foundations

Dynamic response of non-uniform beam subjected to moving load and resting on non-linear viscoelastic foundation

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