用改进的Barasch法分析旋转圆盘的固有频率

Young-Bae Chang, Eul-Gyoon Lim, N. Park, Young-Pil Park
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摘要

在本研究中,改进了Barasch的方法,可以在更短的时间内计算旋转盘的固有频率。研究了旋转坐标系下的固有频率特性,提出了一种利用悬臂曲线和圆锥曲线的估计方法,方便地计算固有频率和模态振型。通过估计特征方程解的初值,加快了Barasch方法的收敛速度
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Natural frequency analysis of a rotating circular disk using the reformed Barasch's method
In this study, Barasch's method is improved upon to calculate the natural frequencies of rotating disks in less time. The characteristics of the natural frequencies in rotating coordinates are studied and an estimation procedure that uses cantilever and conic curves is suggested to conveniently calculate the natural frequencies and mode shapes. The convergence speed of Barasch's method is accelerated by estimating an initial value of the solution for the characteristic equation
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