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
- Kebbi State University of Science and Technology, Aliero, Kebbi State 6
- Kenule Benson Saro-Wiwa Polytechnic, Bori, Rivers State 18
- Kogi State Polytechnic, Lokoja, Kogi State 4
- Kogi State University, Anyigba 2
- Kwara State College of Health Technology, offa, Kwara State 9
- Kwara State Polytechnic, Ilorin, Kwara State 20
- Kwara State University, Malete, Ilorin, Kwara State 13
- Ladoke Akintola University of Technology, Ogbomoso, Oyo State 39
- Lagos State Poly, Ikorodu, Lagos State 2
- Lagos State University, Ojo, Lagos State 7