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
- Federal College of Education (Tech), Gusau, (Affl To Abu Zaria), Zamfara State 1
- Federal College of Education, Abeokuta (Aff To University of Ibadan), Ogun State 2
- Federal College of Education, Eha-Amufu, Enugu State 1
- Federal College of Education, Kano (Affl To Ahmadu Bello University, Zaria) 1
- Federal College of Education, Kontagora, (Affl To Abu, Zaria), Niger State 2
- Federal College of Education, Okene, (Affl. To University of Ibadan), Kogi State 3
- Federal College of Education, Pankshin, (Affl To Uni of Jos), Plateau State 2
- Federal College of Education, Zaria, Kaduna State (affl To Abu, Zaria) 1
- Federal College of Wildlife Management, New Bussa, Niger State 1
- Federal Cooperative College, Ibadan P.m.b. 5033, Eleyele, Ibadan, Oyo State 3