Mathematical Modeling of Bernoulli-Euler Beam on Elastic Foundation With Viscous Damping, Forcing Term and Thermal Effects
Student: CLEMENT OJO FALADE (Project, 2025)
Department of Applied Mathematics With Statistics
Ekiti State University, Ado-Ekiti, Ekiti State
Abstract
This project studied the dynamic response of a Bernoulli-Euler beam resting onan elastic foundation and subjected to spatially distributed forcing, viscous damping, and thermal effects. A governing equation incorporating axial tension andtemperature variations is derived, allowing simulation of beam deflection undervarying conditions. Non-dimensionalization and numerical simulations reveal howcombined thermal expansion and damping influence deflection. This model provides more understanding for structural designs in environments exposed to bothmechanical loads and thermal variations, which enhances resilience and stabilityunder dynamic forces.
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For the full publication, please contact the author directly at: dcmnysc@gmail.com
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Institutions
- AVE-MARIA UNIVERSITY, PIYANKO, NASARAWA STATE 1
- Babcock University, Ilishan-Remo, Ogun State 7
- Bamidele Olumilua University of Edu. Science and Tech. Ikere Ekiti, Ekiti State 454
- Bauchi State College of Agriculture, Bauchi, Bauchi State 1
- Bauchi State University, Gadau, Bauchi State 16
- Bayelsa State Polytechnic, Aleibiri, Bayelsa State 13
- Bayero University, Kano, Kano State 586
- Benue State Polytechnic, Ugbokolo, Benue State 10
- Benue State University, Makurdi, Benue State 47
- Bingham University, Karu, Nasarawa State 3