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
- Isa Mustapha Agwai I Polytechnic, Lafia, Nasarawa State 2
- Jigawa State Polytechnic, Dutse, Jigawa State 4
- Joseph Sarwuan Tarka University, Makurdi, Benue State 17
- Kaduna Polytechnic (NCE), Kaduna, Kaduna State 2
- Kaduna Polytechnic, Kaduna 329
- Kaduna Polytechnic, Kaduna , Kaduna State (affl To Fed Univ of Tech, Minna) 6
- Kaduna State College of Education, Gidan-Waya (affliatted To Abu) 2
- Kaduna State University, Kaduna, Kaduna State 247
- Kano State Polytechnic, Kano, Kano State 196
- Kano University of Science and Technology, Wudil, Kano State 6