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.
Keywords
For the full publication, please contact the author directly at: dcmnysc@gmail.com
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Institutions
- Sokoto State University, Sokoto, Sokoto State 42
- St. Albert The Great Major Seminary, Abeokuta. (affl. To University of Benin) 1
- Sule Lamido University, Kafin Hausa, Jigawa State 4
- Tai Solarin University of Education, Ijagun, Ogun State 18
- Tansian University, Oba, Anambra State 1
- Taraba State University, Jalingo, Taraba State 32
- Temple-Gate Polytechnic, Osisioma, Abia State 1
- The Oke-Ogun Polytechnic, Saki, Oyo State 6
- The Polytechnic, Ibadan, Oyo State 13
- THOMAS ADEWUMI UNIVERSITY, OKO-IRESE, KWARA STATE 1