Analysis of vertical vibration band gap characteristics of periodic discrete support rail

被引:0
|
作者
Feng Q. [1 ]
Yang Z. [1 ]
Guo W. [1 ]
Lu J. [2 ]
Liang Y. [1 ]
Lei X. [1 ]
机构
[1] Engineering Research Center of Railway Environment Vibration and Noise, Ministry of Education, East China Jiaotong University, Nanchang
[2] Department of Civil Engineering, Jiangsu University, Zhenjiang
关键词
Periodic discrete support rail; Plane wave expansion method; Power flow; Rail temperature force; The band gap of elastic wave; Vibration transfer characteristics;
D O I
10.1360/SST-2019-0271
中图分类号
学科分类号
摘要
In this paper, a periodic track structure is simplified as a periodic, discrete, support rail structure, and the vertical vibration band gap characteristics are studied. Treating the rail as a Timoshenko beam, the plane wave expansion method is used to calculate the periodic track structure vertical vibration band gap characteristics. These characteristics are compared using the entity unit finite element method, followed by further analysis of the physical meaning of each order frequency band gap. Results show that within the range of 0-1500 Hz, the band gap characteristics of periodic track structures can be accurately characterized using a Timoshenko beam model. The vibration transmission characteristics of the track structure with finite period are then calculated by the finite element method, and the band gap characteristics are further verified by a rail transmission characteristics experiment. Next, the influence of different dampers on the band gap characteristics in the track structure is analyzed. Then the power flow method is used to analyze the energy propagation characteristics in the finite-period track structure, and finally the relationship between the vertical temperature force and the band gap frequency of the track structure's vertical vibration is analyzed. The analysis results show that the energy flow of the periodic track structure also has band gap characteristics. The starting frequency B (1014.41 Hz) and cut-off frequency C (1030.06 Hz) of the second-order band gap of the periodic track structure's vertical vibration can be used as the main evaluation indices of the temperature force inside the rail of the seamless track. The band gap characteristics in the periodic track structure provide a deeper understanding of the propagation characteristics of vibration waves in the track structure and provide a new concept for railway vibration and noise control. © 2020, Science Press. All right reserved.
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页码:1563 / 1576
页数:13
相关论文
共 21 条
  • [1] Wen J H., Propagation of Elastic Waves in Artificial Periodic Structures-Vibration and Acoustic Characteristics, (2015)
  • [2] Mead D J, Free wave propagation in periodically supported, infinite beams, J Sound Vib, 11, pp. 181-197, (1970)
  • [3] Mead D J, Vibration response and wave propagation in periodic structures, J Manuf Sci Eng, 93, pp. 783-792, (1971)
  • [4] Mead D J, Markus S, Coupled flexural-longitudinal wave motion in a periodic beam, J Sound Vib, 90, pp. 1-24, (1983)
  • [5] Mead D J, Yaman Y, The harmonic response of uniform beams on multiple linear supports: A flexural wave analysis, J Sound Vib, 141, pp. 465-484, (1990)
  • [6] Mead D M, Wave propagation in continuous periodic structures: Research contributions from Southampton, 1964-1995, J Sound Vib, 190, pp. 495-524, (1996)
  • [7] Jiang B L, Liu W N, Ma M, Et al., Application of periodic pile in vibration isolation of rail transit based on bloch-floquet theory, J China Railway Soc, 3, pp. 146-152, (2018)
  • [8] Wu T X, Thompson D J, Application of a multiple-beam model for lateral vibration analysis of a discretely supported rail at high frequencies, J Acoust Soc Am, 108, (2000)
  • [9] Grassie S L, Gregory R W, Harrison D, Et al., The dynamic response of railway track to high frequency vertical excitation, J Mech Eng Sci, 24, pp. 77-90, (1982)
  • [10] Thompson D J., Railway Noise and Vibration: Mechanisms, Modelling and Means of Control, (2009)