变频激振优化之磨机混沌态仿真与实验

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振动与冲击 ›› 2017, Vol. 36 ›› Issue (20) : 44-51.

论文

变频激振优化之磨机混沌态仿真与实验

杨小兰1,2，刘极峰2,1，陆云韬1，张洛明2，高远3

作者信息 +

Optimization of frequency conversion excitation vibration and simulation test on chaotic state in vibration mill

Yang Xiaolan1,2 , Liu Jifeng2,1 , Wang Zhijin 1 ,Zhang Luoming2，GAO Yuan3

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摘要

针对振动磨现有技术中粉碎效率偏低之现状，进行激振机构动力学分析，利用拉格朗日方程导出其运动方程，构建Adams仿真模型，应用优化的六频段变正弦变频激振曲线，仿真模拟出不同频段下的混沌态数值图表，如相轨图、最大Lyapunov指数变化曲线、振幅-振强分布曲线等；数值表明：各频段最大频率越大，则最大Lyaponov指数越大，混沌态越强，越有利于提高系统粉碎效率；变频激振优化营造出磨机概周期内，两端的各1/3频段高振强、大振幅交替出现，中间的1/3频段中振强、中振幅相互迭出，形成一个多频多幅、混沌态强弱交变的振动利用应力场，研制样机的实验结果验证了Adams仿真模型的有效性。

Abstract

To deal with the low grinding efficiency of vibration mill in currency technology, the excitation mechanism dynamics are analyzed, and the Lagrange equation is deduced, and the Adams model is established. The variable sinusoidal frequency curve was set in six frequency bands, and the chaotic state charts in each frequency band are simulated such as phase trajectory, the largest Lyaponov exponent curve and amplitude-intensity distribution curve. The value in simulation shows that the larger the frequency peak, the higher the largest Lyapunov exponent and the stronger the chaotic state would be, and it is more helpful to improve the efficiency of crushing system. The optimization of frequency excitation can lead to a kind of grinding almost periodic, which high vibration intensity and large amplitude appear alternately in both ends of the 1/3 frequency band, and the mid-vibration intensity and mid-amplitude appear one after another in the 1/3 frequency band of the middle. A vibration stress field is formed in this test, which has multi-frequency and multi-amplitude, and the chaotic state is strong and weak alternating. The effectiveness of Adams model has been verified in the prototype.

导出引用

杨小兰1,2，刘极峰2,1，陆云韬1，张洛明2，高远3. 变频激振优化之磨机混沌态仿真与实验[J]. 振动与冲击, 2017, 36(20): 44-51

Yang Xiaolan1,2,Liu Jifeng2,1,Wang Zhijin 1,Zhang Luoming2，GAO Yuan3. Optimization of frequency conversion excitation vibration and simulation test on chaotic state in vibration mill[J]. Journal of Vibration and Shock, 2017, 36(20): 44-51

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