基于导纳测试的复杂系统动力吸振器设计

Design of Dynamic Vibration Absorber for Complex System Based on Admittance Test

动力吸振器设计理论一般将原系统等效为单自由度系统,但实际情况下原系统大多是一个复杂的系统,如果按照单自由度简化,将产生误差。推导了附加动力吸振器后复杂振动系统振动响应的计算式,该式表明了在安装连接面上附加动力吸振器后的主振动系统的振动速度响应与未附加动力吸振器主振动系统振动响应之间的内在关系。基于复杂振动系统动力吸振器振动响应计算式和导纳检测,提出了复杂系统动力吸振器的设计方法,并绘制了设计步骤流程图。采用复杂系统动力吸振器的设计方法,应用在一个原振动系统为2自由度振动系统、动力吸振器为单自由度系统的设计实例。本文研究结果对于工程上原系统为复杂系统难以建模或无法建模的动力吸振器设计具有参考意义。

In the design theory of dynamic vibration absorber,the original system is generally equivalent to a single DOF system.But in reality,the original system is mostly a complex system.Simplification according to the single DOF system will lead to large errors.In this paper,the calculation formula of the vibration response of the complex vibration system with the additional dynamic vibration absorber is derived,which gives the inherent relationship between the vibration speed response of the main vibration system after the additional dynamic vibration absorber is installed on the connection surface and the vibration response of the main vibration system without the additional dynamic vibration absorber.Based on the calculation formula of vibration response and the admittance detection of the dynamic vibration absorber of the complex vibration system,the design method of the dynamic vibration absorber of the complex system is proposed,and the flow chart of design steps is drawn.The design method of the dynamic vibration absorber for the complex system is used in a design example where the original vibration system is a 2-DOF system and the dynamic vibration absorber is a single DOF system.The results of this study can be used as a reference for the design of dynamic absorber in which the original system is difficult to model or impossible to model.