双层振动弛张筛的小阻尼三自由度动力学模型研究

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振动与冲击 ›› 2025, Vol. 44 ›› Issue (7) : 45-53.

振动理论与交叉研究

双层振动弛张筛的小阻尼三自由度动力学模型研究

赵啦啦1,2，李赛*1，何德艺1，范国帅1，刘初升1，杨亚东2,3，刘泽平2,3

作者信息 +

Small damping 3-DOF dynamic model of double-deck vibration flip-flow screen

ZHAO Lala1,2, LI Sai*1, HE Deyi1, FAN Guoshuai1, LIU Chusheng1, YANG Yadong2,3, LIU Zeping2,3

Author information +

文章历史 +

摘要

双层振动弛张筛是一种新型筛分设备，解决了传统单层振动弛张筛无法同时获得多个粒度产品的难题。现有的双层振动弛张筛在实际应用中存在振动不稳定和实际振幅不符合设计要求的问题。基于此，建立了双层振动弛张筛的小阻尼三自由度动力学模型，并利用复数法获得了动力学模型的解析解。研制了双层振动弛张筛试验台，根据动力响应中参与度较高的两阶模态获得了构建瑞利阻尼矩阵的比例系数α和β，并将阻尼矩阵代入动力学模型，求解得到了试验台在正常工作过程中振幅的理论值。试验台的振幅测试值与理论值之间的最大误差为3.13%，固有频率的测试值与理论值之间的最大误差为9.33%，验证了所建立的小阻尼三自由度动力学模型的准确性。

Abstract

The double-deck vibrating flip-flow screen (DDVFFS) represents a new generation of screening equipment designed to address the limitations of traditional single-deck vibrating flip-flow screens in conducting multi-granular screening. However, the existing DDVFFS suffer from issues such as vibration instability and significant deviation between actual and intended amplitudes. Therefore, accurately determining the damping coefficient is crucial for establishing DDVFFS dynamic model with small damping. Accordingly, a three degrees of freedom dynamic model with small damping of DDVFFS was established and the analytical solution of the dynamic model was obtained by complex number method. A testbed for the DDVFFS is developed, and the proportional coefficients α and β for constructing the damping matrix were obtained. The damping matrix was incorporated into the dynamic model and the theoretical amplitude of the test bench was solved. The maximum error between the amplitude test values and theoretical values is 3.13%, and the maximum error between the natural frequency test values and theoretical values is 9.33%, which verifies the accuracy of the three degrees of freedom dynamic model with small damping.

导出引用

赵啦啦1, 2, 李赛1, 何德艺1, 范国帅1, 刘初升1, 杨亚东2, 3, 刘泽平2, 3. 双层振动弛张筛的小阻尼三自由度动力学模型研究[J]. 振动与冲击, 2025, 44(7): 45-53

ZHAO Lala1, 2, LI Sai1, HE Deyi1, FAN Guoshuai1, LIU Chusheng1, YANG Yadong2, 3, LIU Zeping2, 3. Small damping 3-DOF dynamic model of double-deck vibration flip-flow screen[J]. Journal of Vibration and Shock, 2025, 44(7): 45-53

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