非保守粘弹性杆稳定性的差分解法

Stability Behaviors of Viscoelastic Column Subjected to Non Conservative Forces by the Finite Difference Method

用有限差分法得到了经典约束下的粘弹性杆在随从力作用下的复特征值方程，再用拟牛顿法求解，得到了简支和悬臂非保守粘弹性杆的一阶复特征值问题的复频率的实部和虚部与随从力的关系曲线．而非保守弹性杆的问题可作为本文的特例．

The complex eigen equation of viscoelastic column subjected to the tangontical follower force under the various boundary condition is established by F.D.M.The eigenvalue equation is solved by using the quasi Newtwons Method.Then the curves of real part and imaginary part versus the tangentical follower force are ploted.