Response of Thin Plates Subjected to Inertia Distributed Loads Moving with Variable Velocity in Opposite Directions

The study examined the dynamic deflection characteristic of a plate which is subjected to a pair of inertia distributed loads, moving with variable velocities and in opposite direction was investigated. The model was formulated based on the thin plate theory. The governing equation obtained for the behavior of the model was reduced from a partial differential equation to an ordinary differential equation using a series solution for the dynamic deflection in terms of the normal modes. The reduced ODE was solved using chebyshev collocation method, result obtained was presented in graphical form.

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Publication Details

Journal
Earthline Journal of Mathematical Sciences
Published
2025-08-28
DOI
https://doi.org/10.34198/ejms.15525.905925
Primary Topic
Structural Engineering and Vibration Analysis
Type
article
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article

Response of Thin Plates Subjected to Inertia Distributed Loads Moving with Variable Velocity in Opposite Directions

M.S. Dada, K. O. Adedeji
4 links
Earthline Journal of Mathematical Sciences
Structural Engineering and Vibration Analysis
article

Response of Thin Plates Subjected to Inertia Distributed Loads Moving with Variable Velocity in Opposite Directions

M.S. Dada, K. O. Adedeji
article en

Abstract

The study examined the dynamic deflection characteristic of a plate which is subjected to a pair of inertia distributed loads, moving with variable velocities and in opposite direction was investigated. The model was formulated based on the thin plate theory. The governing equation obtained for the behavior of the model was reduced from a partial differential equation to an ordinary differential equation using a series solution for the dynamic deflection in terms of the normal modes. The reduced ODE was solved using chebyshev collocation method, result obtained was presented in graphical form.

Earthline Journal of Mathematical Sciences
University of Ilorin (NG)
Openalex Percentile: Top 76%
Structural Engineering and Vibration Analysis
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Response of Thin Plates Subjected to Inertia Distributed Loads Moving with Variable Velocity in Opposite Directions — M.S. Dada, K. O. Adedeji · Earthline Journal of Mathematical Sciences (2025) | TGRS Research Map | TGRS