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
- Abdul-Gusau Polytechnic, Talata-Mafara, Zamfara State 3
- Abia State Polytechnic, Aba, Abia State 24
- Abia State University, Uturu, Abia State 71
- Abraham Adesanya Polytechnic, Ijebu-Igbo, Ogun State 3
- Abubakar Tafawa Balewa University, Bauchi, Bauchi State 15
- Abubakar Tatari Ali Polytechnic, Bauchi State. (affiliated To Atbu Bauchi) 1
- Achievers University, Owo, Ondo State 6
- Adamawa State University, Mubi, Adamawa State 8
- Adekunle Ajasin University, Akungba-Akoko, Ondo State 26
- Adeleke University, Ede, Osun State 1