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
- Mohammed Lawan College of Agriculture, Maiduguri, Borno State 12
- Moshood Abiola Polytechnic, Abeokuta, Ogun State 7
- Nasarawa State University, Keffi, Nasarawa State 8
- Niger Delta University, Wilberforce Island, Bayelsa State 28
- Niger State College of Education, Minna, (Affl To Usmanu Danfodiyo Uni, Sokoto) 1
- Nigeria Maritime University, Okerenkoko, Delta State 1
- Nigerian Army University, Biu, Borno State 3
- Nile University of Nigeria, Abuja 3
- Nnamdi Azikiwe University, Awka, Anambra State 98
- Northwest University, Kano, Kano State 179