Gyroscopic modes decoupling method in parametric instability analysis of gyroscopic systems

被引：3
作者：
Qian, Y. J. [1 ]
Yang, X. D. [1 ]
Wu, H. [1 ]
Zhang, W. [1 ]
Yang, T. Z. [2 ]
机构：
[1] Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
[2] Tianjing Univ, Dept Mech, Tianjin 300072, Peoples R China
来源：
ACTA MECHANICA SINICA | 2018年 / 34卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Axially moving material; Decoupling of gyroscopic modes; Parametric instability; Perturbation method; Gyroscopic system; FREE-VIBRATION ANALYSIS; AXIALLY MOVING CONTINUA; INTERNAL RESONANCES; ROTATING BEAMS; STABILITY; STRINGS; SPEED; SHAFT; DISKS;
D O I：
10.1007/s10409-018-0762-3
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
Traditional procedures to treat vibrations of gyroscopic continua involve direct application of perturbation methods to a system with both a strong gyroscopic term and other weakly coupled terms. In this study, a gyroscopic modes decoupling method is used to obtain an equivalent system with decoupled gyroscopic modes having only weak couplings. Taking the axially moving string as an example, the instability boundaries in the vicinity of parametric resonances are detected using both the traditional coupled gyroscopic system and our system with decoupled gyroscopic modes, and the results are compared to show the advantages and disadvantages of each method.
引用
收藏
页码：963 / 969
页数：7
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