Abstract

Based on the advanced convergence method developed by the authors, torsional oscillations of a circular disc that is fixed on a shaft are investigated numerically and analytically. The thickness of the disc depends on the radius. The internal boundary of the disc is fixed on a shaft while the external one is load-free. The first few eigenfrequencies of torsional oscillations are obtained for various ratios of the external disc radius and the internal one as well as for various mass distributions.

中文翻译：

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厚度不均匀的圆盘扭转振动问题中的高级收敛方法

摘要

基于作者开发的高级收敛方法，对固定在轴上的圆盘的扭转振动进行了数值和分析研究。光盘的厚度取决于半径。圆盘的内部边界固定在一根轴上，而外部的则无负载。对于外圆盘半径与内圆盘半径的各种比率以及各种质量分布，可以获得扭振的前几个本征频率。