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, Lokoja, Kogi State 1
- Federal University, Otuoke, Bayelsa State 20
- Federal University, Wukari, Taraba State 5
- Fidei Polytechnic, Gboko, Benue State 1
- First Technical University, Ibadan, Oyo State 2
- Fountain University, Osogbo, Osun State 20
- Gateway Ict Polytechnic, Saapade, Ogun State 9
- Godfrey Okoye University, Urgwuomu- Nike, Enugu State 4
- Gombe State University, Tudun Wada, Gombe, Gombe State 18
- Hallmark University, Ijebu-Itele,ogun State 1