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

Jimoh, A.; Ajoge, E. O.

doi:10.12988/ams.2018.8345

Cited by 2 publications

(1 citation statement)

References 12 publications

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“…Several researchers in recent time that considered two parameters models in their studies so as to overcome the shortcoming of the one parameter model include Jimoh and Ajoge [13], Jimoh and Ajoge [14], Oni and Jimoh [15], Oni and Jimoh [16], Oni and Jimoh [17], Oni and Ogunbamike [18].…”

Section: Introductionmentioning

confidence: 99%

Exponentially Varying Load on Rayleigh Beam Resting on Pasternak Foundation.

Jimoh

Ajoge

2019

JAM

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This paper investigates the dynamic behavior of uniform Rayleigh beam resting on Pasternak foundation and subjected to exponentially varying magnitude moving the load. The solution techniques are based on finite Fourier sine transformed Laplace transformation and convolution theorem. The results show that for a fixed value of axial force, damping coefficient and rotatory inertia, increases in shear modulus and foundation modulus reduces the response amplitude of the dynamical system. It was also found that increases in axial force, rotary inertia, and damping coefficient for fixed values of shear modulus and foundation modulus lead to decreases in the deflection profile of the Rayleigh beam resting on Pasternak foundation. Finally, it was found that the effect of shear modulus is more noticeable that of the foundation modulus.

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Section: Introductionmentioning

confidence: 99%

Exponentially Varying Load on Rayleigh Beam Resting on Pasternak Foundation.

Jimoh

Ajoge

2019

JAM

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Variational principles for a double Rayleigh beam system undergoing vibrations and connected by a nonlinear Winkler–Pasternak elastic layer

Adali

2023

Nonlinear Engineering

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Variational principles and variationally consistent boundary conditions are derived for a system of double Rayleigh beams undergoing vibrations and subject to axial loads. The elastic layer connecting the beams are modelled as a three-parameter nonlinear Winkler–Pasternak layer with the Winkler layer having linear and nonlinear components and Pasternak layer having only a linear component. Variational principles are derived for the forced and freely vibrating double beam system using a semi-inverse approach. Hamilton’s principle for the system is given and the Rayleigh quotients are derived for the vibration frequency of the freely vibrating system and for the buckling load. Natural and geometric variationally consistent boundary conditions are derived which leads to a set of coupled boundary conditions due to the presence of Pasternak layer connecting the beams.

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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

Cited by 2 publications

References 12 publications

Exponentially Varying Load on Rayleigh Beam Resting on Pasternak Foundation.

Exponentially Varying Load on Rayleigh Beam Resting on Pasternak Foundation.

Variational principles for a double Rayleigh beam system undergoing vibrations and connected by a nonlinear Winkler–Pasternak elastic layer

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