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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- University of Ilorin, Kwara State 402
- University of Jos, Jos, Plateau State 19
- University of Lagos 18
- University of Maiduguri ( - Elearning), Maiduguri, Borno State 3
- University of Maiduguri, Borno State 109
- University of Nigeria, Nsukka, Enugu State 269
- University of Port Harcourt Teaching Hospital, Port Harcourt , River State 6
- University of Port-Harcourt, Rivers State 175
- University of Uyo, Akwa Ibom State 207
- Usmanu Danfodio University, Sokoto, Sokoto State 245