振动同步传动的理论及应用研究

To explore deeply vibratory synchronization transmission (VST) theory and enlarge its application fields, in this project some scientific problems on VST with respect to circular motion, swing-rotating motion, reciprocating motion, and multiple cycle synchronization, are studied in detail. The coupling dynamic characteristics of such system and conditions of implementing VST, are provided, based on theory analyses, numeric calculations and experiments. Firstly, using the nonlinear dynamic analysis method, the coupling characteristics of various kinds of systems, regime of implementing VST, influences of initial condition for VST, and transition process of synchronization, are revealed theoretically. The influences of the key parameters for ability of synchronization, stability and the coupling dynamics, are analyzed numerically. Under the different working conditions, the relationships between multiple dynamic field coupling parameters and state changes of the system, are derived by experiment. The validity of theoretical results and the feasibility of the method are examined, by the comparisons of theory, numeric and experiment. The coupling dynamic characteristic general analysis method of such kind of scientific problem is constructed, which can provide the constitutive model for designing and developing new types of the vibrating crushing or grinding equipments. Finally, some corresponding research findings will be applied in engineering. The above investigations have great prospects in theories and applications.

为深入探索振动同步传动理论并拓宽其应用领域，本项目针对圆周运动、旋摆运动、往复运动、以及倍频同步条件下的振动同步传动等科学问题，进行重点研究。结合理论分析、数值计算和试验，详细剖析系统的耦合动力学特性及其振动同步传动的实现条件。首先，基于非线性动力学分析方法，理论上揭示各类系统的耦合特征及其振动同步传动机理，阐明初始条件对振动同步传动的影响，探讨了系统的同步过渡过程；数值上分析关键参数对系统同步性、稳定性及动力学耦合的影响；试验上给出不同工况下多动力场耦合参数与系统状态变化关系，并将结果与理论、及数值计算进行对比，以验证理论结果的正确性及方法的可行性，以此构建该类科学问题的耦合动力学特征一般分析方法，进而为研制新型振动破碎机及振动磨机等振动破磨设备提供本构模型。最后，将相关研究结果应用于工程实际。上述研究在理论及工程应用上均具有重大意义和价值。

本项目依据目前国内外对机械系统振动同步传动理论等方面研究的具体情况和条件及提出的合理性等要求，通过理论分析、数值计算、试验及其应用的综合分析，研究圆周运动、旋摆运动、往复运动以及倍频同步条件下的振动同步传动等科学问题。首先，在理论上，基于非线性动力学分析方法，揭示各类系统的耦合特征及其振动同步传动机理，阐明初始条件、系统负载及外界干扰对振动同步传动的影响，探讨了系统的同步过渡过程；在数值上，分析关键参数对系统同步性、稳定性及动力学耦合的影响；在试验上，给出不同工况下多动力场耦合参数与系统状态变化关系，并将试验结果与前述理论及数值研究结果进行对比，从而验证理论结果的正确性及所用理论方法的可行性，最终构建该类科学问题的耦合动力学特征一般分析方法，并为研制新型振动破碎机及振动磨机等振动破磨设备提供理论参考。最后，将相关研究结果尽可能应用于工程实际，解决了有关企业的四个关键技术难题，为企业创造了效益。