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

页码：963 / 969

页数：7

共 27 条

[1] Dynamic stiffness method for inplane free vibration of rotating beams including Coriolis effects
Banerjee, J. R.
Kennedy, D.
[J]. JOURNAL OF SOUND AND VIBRATION, 2014, 333 (26) : 7299 - 7312
[2] Three dimensional dynamics of rotating structures under mixed boundary conditions
Bediz, Bekir
Romero, L. A.
Ozdoganlar, O. Burak
[J]. JOURNAL OF SOUND AND VIBRATION, 2015, 358 : 176 - 191
[3] Nonlinear transverse vibration of axially accelerating strings with exact internal resonances and longitudinally varying tensions
Chen, Li-Qun
Tang, You-Qi
Zu, Jean W.
[J]. NONLINEAR DYNAMICS, 2014, 76 (02) : 1443 - 1468
[4] Steady-state response of axially moving viscoelastic beams with pulsating speed: comparison of two nonlinear models
Chen, LQ
Yang, XD
[J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2005, 42 (01) : 37 - 50
[5] Supercritical equilibrium solutions of axially moving beams with hybrid boundary conditions
Ding, H.
Zhang, G. C.
Chen, L. Q.
[J]. MECHANICS RESEARCH COMMUNICATIONS, 2011, 38 (01) : 52 - 56
[6] Convergence of Galerkin truncation for dynamic response of finite beams on nonlinear foundations under a moving load
Ding, Hu
Chen, Li-Qun
Yang, Shao-Pu
[J]. JOURNAL OF SOUND AND VIBRATION, 2012, 331 (10) : 2426 - 2442
[7] Free vibration analysis of a system of elastically interconnected rotating tapered Timoshenko beams using differential transform method
Ghafarian, M.
Ariaei, A.
[J]. INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2016, 107 : 93 - 109
[8] Nonlinear Dynamical Behavior of Axially Accelerating Beams: Three-Dimensional Analysis
Ghayesh, Mergen H.
Farokhi, Hamed
[J]. JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2016, 11 (01):
[9] On transverse vibrations of functionally graded isotropic linearly elastic rotating solid disks
Güven, U
Çelik, A
[J]. MECHANICS RESEARCH COMMUNICATIONS, 2001, 28 (03) : 271 - 276
[10] Exact free vibration analysis of axially moving viscoelastic plates
Hatami, S.
Ronagh, H. R.
Azhari, M.
[J]. COMPUTERS & STRUCTURES, 2008, 86 (17-18) : 1738 - 1746

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