Vibration characteristics and stable region of a parabolic FGM thin-walled beam with axial and spinning motion-Reference-Cited by-同舟云学术

Vibration characteristics and stable region of a parabolic FGM thin-walled beam with axial and spinning motion

Published:2021-06-24 Issue:9 Volume:76 Page:787-798
ISSN:0932-0784
Container-title:Zeitschrift für Naturforschung A
language:en
Short-container-title:

Author:

Lin Baichuan¹,Chen Bo¹,Li Yinghui¹^ORCID,Yang Jie¹

Affiliation:

1. School of Mechanics and Engineering , Southwest Jiaotong University , Chengdu 610031 , PR China

Abstract

Abstract This paper focuses on the vibration characteristics of the parabolic functionally graded material (FGM) beam considering the axially moving and spinning motion. Based on the Hamilton’s principle, the governing equation of the beam is derived. Then, the Galerkin’s method is employed to solve the equation. The combined influence of axial speed, spinning speed, and geometric parameters on natural frequencies of the beam are investigated. What’s more, the axially moving and spinning motion can lead to a critical axial speed and critical spinning angular speed, respectively. These two critical speeds and stable region affected by different parameters are also discussed.

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/zna-2021-0073/pdf

Reference32 articles.

1. A. Gupta and M. Talha, “Recent development in modeling and analysis of functionally graded materials and structures,” Prog. Aero. Sci., vol. 79, pp. 1–14, 2015. https://doi.org/10.1016/j.paerosci.2015.07.001.

2. Z. Su, G. Jin, and T. Ye, “Three-dimensional vibration analysis of thick functionally graded conical, cylindrical shell and annular plate structures with arbitrary elastic restraints,” Compos. Struct., vol. 118, pp. 432–447, 2014. https://doi.org/10.1016/j.compstruct.2014.07.049.

3. M. H. Ghayesh and M. Amabili, “Nonlinear vibrations and stability of an axially moving Timoshenko beam with an intermediate spring support,” Mech. Mach. Theor., vol. 67, pp. 1–16, 2013. https://doi.org/10.1016/j.mechmachtheory.2013.03.007.

4. J. Wang, D. Li, and J. Jiang, “Coupled flexural–torsional vibration of spinning smart beams with asymmetric cross sections,” Finite Elem. Anal. Des., vol. 105, pp. 16–25, 2015. https://doi.org/10.1016/j.finel.2015.06.008.

5. F. Pellicano and F. Vestroni, “Nonlinear dynamics and bifurcations of an axially moving beam,” J. Vib. Acoust., vol. 122, pp. 21–30, 1999. https://doi.org/10.1115/1.568433.

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Free vibration analysis of rotating sandwich beams with FG-CNTRC face sheets in thermal environments with general boundary conditions;Zeitschrift für Naturforschung A;2022-09-07