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
- Osun State College of Education, Ila-Orangun(Aff To Ekiti State Uni), Osun State 1
- Osun State College of Education, Ilesa, Osun State. (affl To Univ of Ibadan) 2
- Osun State Polytechnic, Iree, Osun State 467
- Osun State University, Osogbo, Osun State 11
- Our Saviour Institute of Science and Technology (polytechnic) Enugu, Enugu State 1
- PAN-ATLANTIC UNIVERSITY, KM 52 LEKKI-EPE EXPRESSWAY, IBEJU-LEKKI, LAGOS STATE. 14
- Paul University, Awka, Anambra State 2
- Petroleum Training Institute, Effurun, Delta State 1
- Precious Cornerstone University, Ibadan, Oyo State 1
- Prince Abubakar Audu University, Anyigba 30