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
- Redeemers University, Ede, Osun State 4
- Rhema University, Aba, Abia State 11
- Rivers State University of Science and Technology, Port Harcourt, Rivers State 3
- RIVERS STATE UNIVERSITY, PORT HARCOURT, RIVERS STATE 13
- Rufus Giwa Polytechnic, Owo, Ondo State 2
- Saadatu Rimi College of Edu, Kumbotso, Kano State (affiliated To Abu, Zaria) 1
- Salem University, Lokoja, Kogi State 4
- School of Health Information Mgt (Uch, Ibadan), Oyo State 5
- School of Health Information Mgt, Oau Teaching Hospital, Ile-Ife, Osun State 30
- Skyline University Nigeria, Kano, Kano State 2