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
- Federal University of Technology, Minna, Niger State 47
- Federal University of Technology, Owerri, Imo State 95
- Federal University Oye-Ekiti, Ekiti State 41
- Federal University, Birnin-Kebbi, Kebbi State 37
- Federal University, Dutse, Jigawa State 6
- Federal University, Dutsin-Ma, Katsina State 63
- Federal University, Gashua, Yobe State 3
- Federal University, Gusau, Zamfara State 14
- Federal University, Kashere, Gombe State 1
- Federal University, Lafia, Nasarawa State 6