一种简捷直观的多自由度振系的建模方法

A Brief Rapid Method for MDOF Vibration System Modeling

利用拉格朗日方法推导多自由度振动系统的动力学模型的关键是能够准确快捷地推导出弹簧两端的相对位移和阻尼器两端的相对速度,为此提出了一种简捷直观的平板图法,并以推导某类轿车动力总成—副车架二级悬置隔振系统的12自由度动力学模型为实例,阐述了平板图法在多自由度振系建模中的应用,总结了应用平板法快速求解弹簧阻尼器相对位移和相对速度的规律,实例推导结论表明平板图法的应用可以使多自由度振系的建模更加准确快捷。

To set up the dynamic model of MDOF system using Lagrange method, the key step is to get the results of each spring＇s relative displacement and each damper＇ relative velocity. For this, a brief and rapid method, Flat Plate Method （FPM）, is developed. To illustrate the application of FPM, a 12 DOF dynamic model of a two-stage mounts vibration isolation system of car power assembly-subframe system is set up, and skills in solving the spring＇s relative displacement and dampers＇ relative velocity is summarized. The process shows that the FPM makes the modeling of MDOF systems more rapid and accurate.