用惯性力求解结构的自振频率

Solution of Self-vibration Frequency by the Method of the Inertia Force

基于多自由度体系的惯性力方程,把最大惯性力加到体系质点位置,以此受力为依据,求出质点处的位移。根据各质点处位移变形协调条件,得出各质点处位移的相互关系,进而求出结构中质点的自振频率。此法对求解多自由度体系的自由振动,与传统方法相比具有方法简便、便于掌握等特点。

Based on the inertia - force equation of multi - degree of freedom system, add the biggest inertia force to the position of mass - spring. Based on this state, the displacement of the mass - spring is given. According to the deformation compatibility condition, the co - relation of the mass - springs are obtained. Then the self - vibration frequency of multi - degree of freedom can be achieved. It is easy to solve the free vibration of the system of multi - degree of freedom. This method is not only portable but also easy to understand.