多转子二倍频双质体动力减振系统同步机理研究  

Synchronization Mechanism of Dual-body Dynamic Vibration Absorption System with Mutiple-rotor and Double-frequency Actuation

作　　者：方潘 孙何超 蔡科涛 侯勇俊[1] 康维堂 FANG Pan;SUN Hechao;CAI Ketao;HOU Yongjun;KANG Weitang(School of Mechanical Engineering,Southwest Petroleum University,Chengdu 610500;Key Laboratory of Petroleum and Natural Gas Equipment,Ministry of Education,Southwest Petroleum University,Chengdu 610500;Safety,Environment and Quality Supervision and Inspection Research Institute,Chuanqing Drilling Engineering Limited Company,China National Petroleum Corporation,Guanghan 618300)

机构地区：[1]西南石油大学机电工程学院,成都610500 [2]西南石油大学石油天然气装备教育部重点实验室,成都610500 [3]中国石油集团川庆钻探工程有限公司,安全环保质量监督检测研究院,广汉618300

出　　处：《机械工程学报》2024年第21期156-167,共12页Journal of Mechanical Engineering

基　　金：国家自然科学基金(51705437);四川省科技厅自然科学基金面上(24NSFSC 2131)资助项目。

摘　　要：针对同频激励单质体振动系统筛分效率低和隔振性能较差的问题,提出了一种多转子二倍频双质体动力减振系统模型。为探明系统的动力学特性,研究了隔振性能和电机同步机理。首先利用拉格朗日法,建立了系统多自由度动力学模型。并应用传递函数法计算了各质体的稳态解。再运用改进小参数法和李雅普诺夫判据,确定了系统实现二倍频同步的必要条件和同步稳定性准则。然后采用数值分析法,确立了激振频率、转子质量比和电机位置等系统参数与隔振能力、同步状态和同步稳定性的关系。最后设计了实验样机,验证了理论模型、数值分析方法和振动系统仿真结果的正确性。研究发现,偏心转子质量和电机安装位置显著影响激振电机的同步性,电机之间安装距离越远,系统的同步性越强;同时,当低频电机激振频率越接近振动质体的固有频率时,振动隔离效果越好。Aiming at the problems of low screening efficiency and poor vibration isolation performance of single-body vibration system with same frequency actuation,a dual-body vibration absorption system with multiple-motor and double-frequency actuation is designed.To explore the dynamic characteristics of the vibrating system,the vibration isolation performance and the synchronization mechanism are studied.Firstly,the dynamic model of the system with multiple degrees of freedom is established by Lagrangian method.And the steady-state solutions of the screen box are calculated by transfer function method.Secondly,the necessary conditions for the system to implement the stable double-frequency synchronization are determined by using the improved small parameter method and Lyapunov criterion.Then,the effect of the system parameters such as excitation frequency,rotor mass ratio and motor position on synchronization state,synchronization stability and vibration isolation capability is discussed.Finally,an experimental prototype is designed to verify the correctness of the theory model,numerical analysis method and simulation results.The research found that the synchronization is significantly affected by the rotor mass and the position of motor installation.The farther the distance of motor position,the stronger the synchronization.Besides,the excitation frequency of the low frequency motor is closer to the natural frequency of the oscillating body,the better vibration isolation effect.

关 键 词：二倍频 振动同步 动力减振 双质体 稳定性 

分 类 号：TH113[机械工程—机械设计及理论]