Longitudinal Vibration and Stability Analysis of Conveying Belt of Belt Conveyor

Man Zhang; Haoxuan Jin; Yongqiang Yang; Yuanhu Cheng; Taisong Guo

doi:10.16578/j.issn.1004.2539.2020.08.010

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Longitudinal Vibration and Stability Analysis of Conveying Belt of Belt Conveyor

Belt drive column | 更新时间：2022-11-10

- Longitudinal Vibration and Stability Analysis of Conveying Belt of Belt Conveyor
- Journal of Mechanical Transmission Vol. 44, Issue 8, Pages: 52-56(2020)
- 作者机构：
  
  1.陕西科技大学机电工程学院，陕西西安 710021
  2.数源科技股份有限公司，浙江杭州 310012
  3.杭州娃哈哈集团有限公司，浙江杭州 310009
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2020.08.010
  CLC：
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张曼,金昊炫,杨勇强等.带式输送机输送带纵向振动与稳定性分析[J].机械传动,2020,44(08):52-56.

Zhang Man,Jin Haoxuan,Yang Yongqiang,et al.Longitudinal Vibration and Stability Analysis of Conveying Belt of Belt Conveyor[J].Journal of Mechanical Transmission,2020,44(08):52-56.
张曼,金昊炫,杨勇强等.带式输送机输送带纵向振动与稳定性分析[J].机械传动,2020,44(08):52-56. DOI： 10.16578/j.issn.1004.2539.2020.08.010.

Zhang Man,Jin Haoxuan,Yang Yongqiang,et al.Longitudinal Vibration and Stability Analysis of Conveying Belt of Belt Conveyor[J].Journal of Mechanical Transmission,2020,44(08):52-56. DOI： 10.16578/j.issn.1004.2539.2020.08.010.

摘要

根据Kelvin-Voigt黏弹性理论，建立具有稳定运行速度的带式输送机输送带纵向振动微分方程，采用微分求积法离散振动方程及边界条件，得到含运送速度和质量变化函数的带式输送机纵向振动特征方程，求解得到不同条件下带式输送机纵向振动无量纲复频率随无量纲运送速度之间的关系。结果表明，在均匀质量分布情况下，带式输送机发生第2阶、第3阶颤振失稳；但是，在非均匀质量分布情况下，带式输送机分别发生第1阶、第2阶和第3阶、第4阶的颤振失稳。该结论为带式输送机的稳定运行提供了一定的理论基础。

Abstract

The differential equation of longitudinal vibration of the belt conveyor with stable conveying speed is established based on Kelvin-Voigt viscoelastic theory. The differential quadrature method is used to discrete the vibration equation and boundary conditions. The eigenvalue equation containing the conveying speed and quality variation function of the longitudinal vibration of the belt conveyor is obtained. The relationship between dimensionless complex frequency of longitudinal vibration and dimensionless conveying speed is analyzed. The results show that the second-third order flutter instability occurs in the case of uniform quality， but the first-second， third-fourth order flutter instability occur in the case of non-uniform quality. This conclusion provides a theoretical basis for the stable operation of belt conveyor.

关键词

带式输送机纵向振动颤振失稳微分求积法

Keywords

Belt conveyorLongitudinal vibrationFlutter instabilityDifferential quadrature method

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