Vibrational characteristics of rotating soft cylinders

Li, K., Zhang, Y., Zhan, H., Du, Y. and Lü, C. (2021) Vibrational characteristics of rotating soft cylinders. Science China Physics, Mechanics and Astronomy, 64(5), 254611. (doi: 10.1007/s11433-020-1665-9)

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Abstract

Rotating structural components are omnipresent in engineering structures and natural world. This work investigates the effects of the centrifugal and Coriolis forces on the free vibrational characteristics of soft cylinders rotating with respect to the axis of symmetry based on the nonlinear elasticity and linear incremental theories. The formulations indicate that the biasing deformation, instantaneous elastic moduli, and incremental equations of motion strongly depend on the rotating speed. The characteristic equation for the natural frequency is derived using the state-space method and approximate laminate technique. The numerical examples included in this work demonstrate that the centrifugal and Coriolis forces might have significant effects on the vibrational characteristics of the cylinder. Results of this work will benefit the design and control of novel engineering systems with rotating soft cylinders or shafts.

Item Type:Articles
Additional Information:This work was supported by the National Natural Science Foundation of China (Grant Nos. 51988101, 11925206, and 11772295).
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Du, Mr Yangkun
Authors: Li, K., Zhang, Y., Zhan, H., Du, Y., and Lü, C.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Science China Physics, Mechanics and Astronomy
Publisher:Springer
ISSN:1674-7348
ISSN (Online):1869-1927
Published Online:23 March 2021

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