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
- Al-Hikmah University, Ilorin, Kwara State 2
- AL-ISTIQAMAH UNIVERSITY, SUMAILA, KANO STATE 1
- Al-Qalam University, Katsina, Katsina State 5
- Alex Ekwueme Federal University, Ndufu-Alike, Ebonyi State 87
- Alvan Ikoku College of Education, Imo State, (Affl To Univ of Nigera, Nsukka) 11
- Ambrose Alli University, Ekpoma, Edo State 478
- Anambra State College of Health Technology, Obosi, Anambra State 1
- Auchi Polytechnic, Auchi, Edo State 503
- Auchi Polytechnic, Auchi, Edo State. (affl To Nnamdi Azikiwe University, Awka) 3
- Audu Bako College of Agriculture Danbatta, Kano, Kano State 54