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Riccati传递矩阵法在高速精纺锭子临界转速分析中的应用
引用本文:俞昊旻.Riccati传递矩阵法在高速精纺锭子临界转速分析中的应用[J].东华大学学报(自然科学版),1991(2).
作者姓名:俞昊旻
作者单位:中国纺织大学基础部理论力学教研室
摘    要:Riccati传递矩阵法能有效地克服传统的传递矩阵法存在的数值不稳定现象,适用于结构复杂、转速高、支承多的转子动力学问题。本文简要介绍了Riccati传递矩阵法并将其应用于高速精纺锭子临界转速的分析计算,所得计算结果与其他计算方法及实测结果作了比较,结果相当接近。

关 键 词:临界速度  矩阵  锭子  稳定性  转轴

APPLICATION OF RICCATI TRANSFER MATRIX METHOD TO CRITICAL SPEED ANALYSIS OF HIGH-SPEED SPINDLE ON SPINNING FRAME
Yu Haomin.APPLICATION OF RICCATI TRANSFER MATRIX METHOD TO CRITICAL SPEED ANALYSIS OF HIGH-SPEED SPINDLE ON SPINNING FRAME[J].Journal of Donghua University,1991(2).
Authors:Yu Haomin
Institution:Basic Sciences Department
Abstract:The numerical instability which usually exists in the conventional transfer matrix method can effectively be eliminated by using the Riccati transfer matrix method. The Riccati matrix method can facilitate the solution of the rotor dynamics problems especially for the high-speed, multiple supported, compound rotating systems. In this paper, following a brief introduction, the author applies the Riccati transfer matrix method to the critical speed analysis of the high-speed spindle on the spinning frame. With the help of a computer, the lowest three critical speeds are obtained and compared with the measured values and other method. The results show that they are in good agreement with each other.
Keywords:critical speed  matrix  spindles  stability  rotating shaft    
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