压杆跳跃屈曲的功、能增量方法分析

Analysis of Jumping Flection of the Compressed Pole by Way of Work and Energy Increment

以微弯曲压杆平衡位置作准静态位移时任意一点处的状态作为参考态,建立平衡位置有微位移时的功、能增量平衡关系,导出相应的突变模型平衡方程对压杆的跳跃屈曲行为进行分析.该研究理论也可用于其他弹性体跳跃屈曲问题.

A random position＇s state, of which the equilibrium position of a minutely flexural pole has quasi-static displacement, is taken as referential state; and the equilibrium relationship of work and energy increment is established, when there is a minute displacement at the equilibrium position of the compressed pole. The derivative equilibrium equation of a catastrophe model can be used to analyze the jumping behavior of the compressed pole. The research method can also be applied to the jumping flection problem of other elastomer.