基于一维高阶梁理论的薄壁箱梁非线性弥散波特性

Abstract
Figure/Table
References (14)
Related Citation (15)

Download: PDF (1428 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

Abstract When subject to dynamic torsional load, the cross-section of thin-walled box beam produces warping and distortion deformation and produces coupling with torsional deformation at the same time. Due to the coupling effect, the stress wave propagation along the axis of thin-walled box beam becomes very complicated. However, the study of dispersion phenomenon is not thorough enough, and it is difficult to observe the relationship between the branches of dispersion curve by using the numerical solution of three-dimensional elastic dynamics equation. Therefore, the one-dimensional higher-order beam theory which can express these three kinds of deformation is used to study the dispersion relation. In this paper, the relationship between the imaginary and real branches of low frequency dispersion relation is revealed. In the case study, the influence of geometrical effect on nonlinear dispersion wave of thin-walled box beam is studied and the limit wave velocity of thin-walled box beam decreases as the wall thickness increases. The larger the aspect ratio of the cross-section, the higher the frequency of branch1, while the lower the frequency of branch 2 and branch 3.

Key words： thin-walled box beam torsion warping distortion the dispersion effect

Received: 19 July 2022 Published: 15 November 2023

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	TAN Minyao
	GUO Dequan
	YANG Qiang
	YANG Li
	LUO Dening

Cite this article:

TAN Minyao,GUO Dequan,YANG Qiang, et al. Nonlinear dispersion wave characteristics of thin-walled box beam based on 1D higher-order beam theory[J]. JOURNAL OF VIBRATION AND SHOCK, 2023, 42(21): 126-132.

URL:

http://jvs.sjtu.edu.cn/EN/ OR http://jvs.sjtu.edu.cn/EN/Y2023/V42/I21/126

[1] 王礼立, 朱兆祥. 应力波基础[M]. 2版. 北京: 国防工业出版社. 2005.
L. Wang, Z. Zhu. The foundation of stress wave [M]. 2nd ed. Beijing: National Defense Industry Press, 2005.
[2] J.F. Doyle, Wave Propagation in Structures [M]. Springer-Verlag, Inc, New York, 1997.
[3] S.P. Timoshenko, On the correction for shear of the differential equation for transverse vibration of prismatic bars [J]. Philosophical Magazine 41(1921) 744-746.
[4] X. Chen, M.F. Cai, J.C. Li, et al. Theoretical analysis of JMC effect on stress wave transmission and reflection [J]. International Journal of Minerals Metallurgy and Materials, 2018,25(11): 1237-1245.
[5] A. Chattopadhyay, A.K. Verma, M.S. Chaki, et al. Influence of rigid stress-free and yielding base of a composite structure on the propagation of rayleigh-type wave: a comparative approach [J]. Journal of Mechanics, 2018,34(6):733-748.
[6] D. Mehemt, M.K. Apalak, J.N. Reddy. Stress wave propagation in a through-thickness functionally graded adhesive layer [J]. Journal of Adhesion Science and Technology, 2019,33(21): 2329-2355.
[7] B. Dubuc, A. Ebrahimkhanlou, S. Salamone. The effect of applied stress on the phase and group velocity of guided waves in anisotropic plates [J]. Journal of the Acoustical Society of America, 2017,142(6):3553-3563.
[8] 钟炜辉, 郝际平, 雷蕾, 郑江.考虑应力波的轴心压杆冲击分岔屈曲研究[J]. 振动与冲击, 2010, 29(10): 201-205.
W. Zhong, J. Hao, L. Lei, J. Zheng. Impact bifurcation of an axial compression bar with stress wave [J]. Journal of Vibration and Shock, 2010, 29(10): 201-205.
[9] M. Mitra, S. Gopalakrishnan, M.S. Bhat. A new super convergent thin-walled composite beam element for analysis of box beam structures [J]. International Journal of Solids and Structures, 41(2004) 1491-1518.
[10] L. Gavric, Finite element computation of dispersion properties of thin-walled waveguides [J]. Journal of Sound and Vibration. 173 (1)(1994) 113-124.
[11] L. Houillon, M.N. Ichchou, L. Jezequel, Wave motion in thin-walled structures [J]. Journal of Sound and Vibration. 281 (2005) 483-507.
[12] Y.Y. Kim, J.H. Kim, Thin-walled closed box beam element for static and dynamic analysis [J]. International Journal for Numerical Methods in Engineering. 45 (1999)473-490.
[13] G.W. Jang ,Y.Y. Kim. Vibration analysis of piecewise straight thin-walled box beamx without using artificial joint springs [J]. Journal of Sound and Vibration. 326(2009)647-670.
[14] G.W. Jang ,Y.Y. Kim. Theoretical analysis of coupled torsional, warping and distortional waves in a straight thin-walled box beam by higher-order beam theory [J]. Journal of Sound and Vibration. 330(2011) 3024-3039.