基于集中质量法的破壁机转子动力学分析

Dynamic Analysis of the Rotor of A Kitchen Blender Based on the Concentrated Mass Method

本文针对某破壁机原型机进行转子动力学分析,采用集中质量法建立了破壁机转子系统的模型,并进行了模态分析、临界转速分析以及谐响应分析。主要研究结论如下:首先,在模态分析方面,本文得到了破壁机转子系统前4阶正进动涡动频率及相应的振型,其中固有频率分别为867.93 Hz、10 394 Hz、11 434 Hz和12 673 Hz。正进动模态主要表现为以轴承支承为支点的摆动,这能为破壁机系统的结构设计和改进提供参考。其次,在临界转速分析方面,结果表明破壁机转子系统的临界转速为17 252 r/min,远低于额定转速35 000 r/min。表明破壁机在额定转速下能够稳定运行,不会发生共振现象,确保了系统的可靠性和稳定性。最后,在谐响应分析方面,以转子系统变形最大的连接圆盘为研究对象,计算结果显示在12 600 Hz时变形达到峰值,与模态分析的结论相一致。通过以上分析,本文研究了破壁机转子动力学特性,为破壁机的研发和优化提供了依据。

Based on the rotor dynamic analysis of a prototype of a kitchen blender of a company,a model of the rotor system of the kitchen blender is established by using the lumped mass method,and modal analysis,critical speed analysis and harmonic response analysis are carried out.The main conclusions are as follows:First,in the aspect of modal analysis,the first four forward precession vortex frequencies and corresponding vibration modes of the rotor system of the kitchen blender are obtained,and the natural frequencies are 867.93 Hz,10394 Hz,11434 Hz and 12673 hz respectively.The positive precession mode is mainly characterized by the swing with the bearing support as the fulcrum,which can provide a usefulreferenceforthe structural design and improvement of thekitchen blender system.Secondly,in terms of critical speed analysis,the results show that the critical speed of the rotor system of the kitchen blender is 17252 r/min,which is far lower than the rated speed of 35000 r/min.This finding means that the kitchen blender can run stably at the rated speed without resonance,and the reliability and stability of the system are ensured.Finally,in terms ofharmonic response analysis,with the connecting disc withthelargest deformation of rotor system as the research object,the calculation results show that the deformation reaches the peak value at 12600 Hz,which is consistent with the conclusions of modal analysis.Through the above analysis,this paper studies the rotor dynamic characteristics of the kitchen blender,which provides a basis for the research and development and optimization of the kitchen blender.