一个分析答案与起始的轴的应力为有限空柱体的短暂扭力的颤动被获得。柱体在内部表面受到动态砍的应力并且在外部表面被修理。基本方程被介绍,答案借助于 Fourier 系列扩大技术和变量方法的分离被获得。自然频率和短暂扭力的回答上的起始的压力的效果被介绍并且讨论。
An analytical solution is obtained for transient torsional vibration of a finite hollow cylinder with initial axial stress. The cylinder is subjected to dynamic shearing stress at the internal surface and is fixed at the external surface. The basic equations are presented and the solution is obtained by means of Fourier series expansion technique and the separation of variables method. The effects of the initial stress on the natural frequencies and transient torsional responses are presented and discussed.