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African Journal of Mathematics and Statistics Studies
Vol. 8Issue 22025pp. 1–15Published 12 April 2025
DOI 10.52589/AJMSS-QICVWJEPResearch Article
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Abstract:
This paper investigates the transient response of Timoshenko beams under moving loads in turbulent environments. The study incorporates the effects of shear deformation, rotary inertia, and dynamic aerodynamic forces caused by turbulence. The governing equations are derived from Timoshenko beam theory and coupled with an aerodynamic force model that accounts for mean and fluctuating wind velocities. A spectral representation of turbulent forces is employed to simulate realistic wind-induced forces. Numerical simulations are conducted using both the spectral element method (SEM) and the finite element method (FEM), enabling a comparison of their accuracy and computational efficiency. Results are presented for various load velocities and turbulence intensities, highlighting the advantages and limitations of each method. This study provides valuable insights into the dynamic behavior of beams in challenging environmental conditions, offering practical applications in civil, mechanical, and aerospace engineering.
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