Dynamic Response of Non-prismatic Bernoulli Euler Beam with Exponentially Varying Thickness Resting on Variable Elastic Foundation
Journal Title: Asian Research Journal of Mathematics - Year 2017, Vol 6, Issue 4
Abstract
In this paper, the motion of a non-prismatic Bernoulli-Euler beam with exponentially varying thickness resting on variable elastic foundation and under the loads moving with constant velocity is analyzed. The governing equation is a fourth order partial differential equation. The solution technique is based on the method of Galerkin with series representation of Heaviside function and Struble’s asymptotic method. The results shows that, for the same natural frequency, the critical speed for the system traversed by moving force is greater than that under the influence of a moving mass. Also, increase in the values of the structural parameters such as foundation stiffness, foundation modulus, length of the beam and exponential factor reduces the response *Corresponding author: E-mail: ajagbesul21@gmail.com, ajagbesul@yahoo.com; Adekunle and Alimi; ARJOM, 6(4): 1-12, 2017; Article no.ARJOM.35785 amplitude of the beam for both moving force and moving mass problems. Furthermore, it is found that the moving force solution is not always an upper bound for the accurate solution for the non-prismatic Bernoulli-Euler
Authors and Affiliations
Jimoh Sule Adekunle, Adedowole Alimi
Keywords
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- EP ID EP338356
- DOI 10.9734/ARJOM/2017/35785
- Views 70
- Downloads 0
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