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
- Binyaminu Usman Polytechnic, Hadijia, Jigawa State 3
- Borno State University, Maiduguri, Borno State 15
- Bowen University, Iwo, Osun State 1
- Chukwuemeka Odumegwu Ojukwu University, Uli, Anambra State 254
- College of Agriculture and Animal Science, Mando Road, Kaduna, Kaduna State 1
- College of Agriculture, Science and Technology, Lafia, Nasarawa State 8
- College of Education, Akwanga (affl To Ahmadu Bello Univ, Zaria) 1
- College of Education, Eha Amufu, (Affliliated To Unn), Enugu State 1
- College of Education, Warri (Affiliated To Delta State Uni, Abraka), Delta State 1
- College of Health Technology, Calabar, Cross River State 1