双质体振动磨动力学建模及参数优化

贾民平1 周浩1 杨小兰2 刘极峰2 汪震2

振动与冲击 ›› 2016, Vol. 35 ›› Issue (9) : 59-65.

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振动与冲击 ›› 2016, Vol. 35 ›› Issue (9) : 59-65.
论文

双质体振动磨动力学建模及参数优化

  • 贾民平1  周浩1  杨小兰2  刘极峰2  汪震2
作者信息 +

Dynamic Modeling and Parameter Optimization of Double Mass Vibration Mill

  • JIA Minpin1  ZHOU Hao1  YANG Xiaolan2  LIU Jifeng2  WANG Zhen2
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摘要

针对多自由度振动磨系统建模困难以及动力学参数优化设计的需要,根据拉格朗日方程建立双质体振动磨6自由度动力学方程,利用数值分析方法分析了系统的动力学响应,并通过振动测试试验验证了模型的有效性。在振动微分方程的基础上研究了激振器转速对振动磨动力学特性的影响,仿真结果表明在一定范围内,转速越大,振动强度越大,但振动幅值越小。为了使振动磨产生更好的粉磨效果,对激振参数进行优化分析。利用模态分析获得双质体振动磨的固有频率和振型,分别从振动强度和共振频率两个角度确定系统激振器转速的上下限,得到转速的最佳取值范围。在实验室振动磨样机上进行参数优化后的粉磨试验,实验结果表明,改进后的振动磨机金刚石粉体产品d50达到0.27µm,较之前有所细化,验证了参数优化具有一定的工程效果,为振动磨超微粉碎的动力学设计和产品开发奠定了基础。

Abstract

For the needs of modelling and dynamic parameter optimization design of vibration grinding system with multi freedoms, dynamic equations with 6 freedoms based on Lagrange equation are established. The dynamic response of double mass vibration mill is obtained using numerical analysis method and the model is proved to be effective by vibration test. The relationship of double mass vibration mill’s dynamic characters and rotation speed is studied with the help of established model. And it is shown that the vibration intensity would increase while the rotation speed gets fast, but the amplitude of vibration would shrink. In order to achieve the better result of grinding, the excitation parameter is optimized. With the help of modal analysis, natural frequency and vibration type of system are obtained. The upper limit of rotation speed is determined by the resonance frequency and the lower limit is gotten by the vibration intensity. Then the optimum range of rotation speed is determined. A grinding test with diamond power is carried out on the model machine. The result shows that the average size of output power is 0.27 µm. And its size has met the requirements of ultrafine powder. This optimization really does good to dynamic design and product development of vibration mill for ultrafine comminution.

关键词

振动磨  / 动力学模型  / 激振频率  / 参数优化  / 超微粉碎

Key words

Vibration mill  / Dynamic model  / Excitation frequency  / Parameter optimization  / Ultrafine comminution

引用本文

导出引用
贾民平1 周浩1 杨小兰2 刘极峰2 汪震2. 双质体振动磨动力学建模及参数优化[J]. 振动与冲击, 2016, 35(9): 59-65
JIA Minpin1 ZHOU Hao1 YANG Xiaolan2 LIU Jifeng2 WANG Zhen2. Dynamic Modeling and Parameter Optimization of Double Mass Vibration Mill[J]. Journal of Vibration and Shock, 2016, 35(9): 59-65

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