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3 articles for “Bi-Parametric Foundation”
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Flexural Vibration of Non-Uniform Beam on Bi-Parametric Foundation Under Harmonic Moving Load with Non-Classical Boundary Conditions
Abstract: The dynamic response to harmonically varying moving loads of non-uniform elastic beam resting on bi-parametric foundation with non-classical boundary condition, time dependent in particular is examined in this paper. Here, the beam is considered non-uniform, with the moment of inertia and the distributed mass varying continuously along the span L as functions of the position 𝑥. In order to guarantee a more stable structure and a reduce risk of resonance, …
Published in International Journal of Mechanical Dynamics and Systems Analysis · Vol. 3, Issue 2, 2025 · pp. 28–42 Read article
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Comparative Study of Uniform and Non-Uniform Beams Resting on Bi-Parametric Foundation Under Harmonic Load with Time Dependent Boundary Conditions
Abstract: In this study, we investigated uniform and non-uniform damped and time-dependent elastic beams resting on bi-parametric foundation subjected to harmonically varying moving load. The beam properties, including moment of inertia and mass per unit length, were assumed to be either constant or varying with position along the beam span in this study. The solution methods were based on Mindlin-Goodman method, Fourier sine transformation, weighted residual method, integral transformation, and theory …
Published in International Journal of Mechanical Dynamics and Systems Analysis · Vol. 4, Issue 1, 2026 · pp. 33–50 Read article
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Comparative Study of Clamped-Clamped and Clamped-Free Elastic Beams Resting on Bi-Parametric Subgrades and Subjected to Concentrated Moving Loads
Abstract: In this paper, a comparative study of clamped-clamped and clamped-free elastic beams resting on bi-parametric subgrades subjected to concentrated moving load has been investigated. This work takes into account the viscous effects of the moving load. The findings are shown graphically. The methods of solution incorporate integral transformation in combination with convolution theory, a version of Struble's asymptotic approaches, and Fourier integral translate with the series representation of the Dirac-delta …
Published in Journal of Experimental & Applied Mechanics · Vol. 16, Issue 1, 2025 · pp. 17–33 Read article