Dynamical analysis of a prestressed elastic beam with general boundary conditions under the action of uniform distributed masses

Oni, ST; Ogunyebi, S. N.

doi:10.4314/jonamp.v12i1.45492

Cited by 7 publications

(13 citation statements)

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“…In what follows, we shall discuss two special cases of the equation (33) namely; the moving force and the moving mass problems.…”

Section: B T B T B T B T B T B Tmentioning

confidence: 99%

“…By setting 0 ε = in equation (33), an approximate model of the governing differential equation describing the response of a non-uniform, elastic beam traversed by a moving force would be obtained.…”

Section: The Moving Force Load-beam Interaction Problemmentioning

confidence: 99%

“…However, in engineering practice moving loads are most often in the form of distributed mass over a small segment of the entire length of the structural member as the traverse the structure rather than that of moving lumped mass [32,33]. When the moving load is distributed, the problem of investigating the load-structure interactions becomes much more complicated.…”

Section: Introductionmentioning

confidence: 99%

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Response characteristics of non-uniform beam with time-dependent boundary conditions and under the actions of travelling distributed masses

Omolofe

Adedowole

2017

J. Appl. Math. Comput. Mech.

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Abstract. In this paper, dynamic response of non-prismatic elastic beam resting on elastic foundation and subjected to moving distributed masses is investigated. To obtain the solution of the fourth order partial differential equations with singular and variable coefficients governing the motion of the structural member, an elegant mathematical procedure involving the Mindlin and Goodman's technique, the generalized Galerkin method and the asymptotic Struble's technique with the series representation of the Heaviside function. Various results obtained from the analysis of the closed form solutions are presented in plotted curves and fully discussed.

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“…In what follows, we shall discuss two special cases of the equation (33) namely; the moving force and the moving mass problems.…”

Section: B T B T B T B T B T B Tmentioning

confidence: 99%

Section: The Moving Force Load-beam Interaction Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Response characteristics of non-uniform beam with time-dependent boundary conditions and under the actions of travelling distributed masses

Omolofe

Adedowole

2017

J. Appl. Math. Comput. Mech.

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“…To this end, the Galerkin's method described in Oni and Ogunyebi [6] is employed to reduce the partial differential to a sequence of ordinary differential equation. This is defined…”

Section: Analytical Approximate Solutionmentioning

confidence: 99%

“…Cases where the effects of axial force is of non-uniform on the frequencies has been neglected especially when the loads on the structure are in the distributed form. In most of the existing literature in dynamics of structure, moving loads have been idealized as moving concentrated loads which acts at a certain point on the structure and along a single line in space [5,6]. The problem of traverse oscillations of beams under the action of moving loads for the general case of any arbitrary prescribed law of motion was solved by Lowan [7] using Green's functions.…”

Section: Introductionmentioning

confidence: 99%

Approximate analysis of thin beam with variable prestress on elastic foundation

S.N¹

2014

IOSRJM

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Effect of rotatory inertia and load natural frequency on the response of uniform Rayleigh beam resting on Pasternak foundation subjected to a harmonic magnitude moving load

Jimoh¹,

Ajoge²

2018

ams

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In this study, the effect of rotatory inertia on the transverse motion of uniform Rayleigh beam resting on Pasternak foundation subjected to harmonic magnitude moving load is investigated. We employed Fourier sine transform, Laplace integral transformation and convolution theorem as solution technique. It was observed from the results that, the amplitude of the deflection profile of the beam decreases with increase in the value of rotatory inertia and load natural frequency. Also increases in the values of the other structural parameters like shear modulus, foundation modulus, axial force, and damping coefficient lead to decreases in the deflection profile of the beam. It was also observed that the effect of the load natural frequency is more noticeable than that of the rotatory inertia.

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Dynamical analysis of a prestressed elastic beam with general boundary conditions under the action of uniform distributed masses

Cited by 7 publications

References 0 publications

Response characteristics of non-uniform beam with time-dependent boundary conditions and under the actions of travelling distributed masses

Response characteristics of non-uniform beam with time-dependent boundary conditions and under the actions of travelling distributed masses

Approximate analysis of thin beam with variable prestress on elastic foundation

Effect of rotatory inertia and load natural frequency on the response of uniform Rayleigh beam resting on Pasternak foundation subjected to a harmonic magnitude moving load

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