Dynamic behaviour of rotating functionally graded Timoshenko beam via B-spline collocation method

Authors

  • Shashi Chichkhede Department of Mechanical Engineering, National Institute of Technology, Rajpur, India
  • Deepak Mahapatra Department of Agriculture Engineering, Indira Gandhi Krishi Vishwavidyalaya, Rajpur, India
  • Shubhashis Sanyal Department of Mechanical Engineering, National Institute of Technology, Rajpur, India
  • Shubhankar Bhowmick Department of Mechanical Engineering, National Institute of Technology, Rajpur, India

DOI:

https://doi.org/10.24132/acm.2025.986

Keywords:

dynamic analysis, Timoshenko rotating beam, functionally graded beam, power index, B-spline collocation method

Abstract

The dynamic behaviour of a rotating Timoshenko functionally graded (FG) beam is investigated, with material properties varying along the height of the beam according to a power-law distribution. The study investigates how key parameters such as the power-law index, rotational speed, slenderness ratio, and various functionally graded material (FGM) compositions affect the dynamic response of the beam. The governing equations, which incorporate shear deformation and rotary inertia effects, are formulated and solved using the B-spline collocation method. The results provide critical insights into how these parameters affect the natural properties of FG beams, contributing to optimization and development for the design of advanced rotating structures in engineering applications.

Author Biography

  • Shubhankar Bhowmick, Department of Mechanical Engineering, National Institute of Technology, Rajpur, India
    Professor, Department of Mechanical Engineering, NIT Raipur

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Published

30-Jun-2025

Issue

Vol. 19 No. 1 (2025)

Section

Articles

License

Copyright (c) 2025 Applied and Computational Mechanics

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

“Dynamic behaviour of rotating functionally graded Timoshenko beam via B-spline collocation method” (2025) Applied and Computational Mechanics, 19(1). doi:10.24132/acm.2025.986.