A precise bound for gyroscopic stabilization

被引：0
|
作者：
Hryniv, RO [1 ]
Kliem, W
Lancaster, P
Pommer, C
机构：
[1] Univ Calgary, Dept Math & Stat, Calgary, AB T2L 1B4, Canada
[2] Tech Univ Denmark, Dept Math, DK-2800 Lyngby C, Denmark
[3] Tech Univ Denmark, Dept Appl Engn Design & Prod, DK-2800 Lyngby, Denmark
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2000年 / 80卷 / 08期
关键词：
D O I：
10.1002/1521-4001(200008)80:8<507::AID-ZAMM507>3.0.CO;2-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider gyroscopic systems Mx(t) + hGx(t) + Kx(t) = 0 where M > 0, G(T) = -G, and K < 0. A is shown how to compute a critical value of parameter (h) over cap which (in many cases) separates stable and unstable regimes for gyroscopic stabilization. Comparison is made with some known, sufficient conditions for stability or instability, and a theory is developed (including the formulation of a related Lyapunov function) which unifies several earlier results concerning systems of this kind. Numerical examples are included.
引用
收藏
页码：507 / 516
页数：10
相关论文
共 50 条
  • [31] GYROSCOPIC STABILIZATION OF SOLID BODY ROTATION.
    Krementulo, V.V.
    Mechanics of Solids (English translation of Izvestiya Akademii Nauk SSSR, Mekhanika Tverdogo Tela), 1976, 11 (04): : 1 - 4
  • [32] Analysis of the gyroscopic stabilization of a system of rigid bodies
    Kliem, W
    Seyranian, AP
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1997, 48 (05): : 840 - 847
  • [33] Analysis of the gyroscopic stabilization of a system of rigid bodies
    W. Kliem
    A. P. Seyranian
    Zeitschrift für angewandte Mathematik und Physik ZAMP, 1997, 48 : 840 - 847
  • [34] Some aspects of the gyroscopic stabilization in acoustic fields
    Mel'nik, VN
    Karachun, VV
    INTERNATIONAL APPLIED MECHANICS, 2002, 38 (01) : 74 - 80
  • [35] Stabilization and disturbance attenuation control of the gyroscopic inverted pendulum
    Wasiwitono, Unggul
    Wahjudi, Arif
    Saputra, Ari K.
    Yohanes
    JOURNAL OF VIBRATION AND CONTROL, 2021, 27 (3-4) : 415 - 425
  • [36] On the stabilization of instable equilibrium by means of gyroscopic forces - II
    Beth, HJE
    PHILOSOPHICAL MAGAZINE, 1925, 49 (294): : 1183 - 1190
  • [37] Stabilization and disturbance attenuation control of the gyroscopic inverted pendulum
    Wasiwitono, Unggul
    Wahjudi, Arif
    Saputra, Ari K
    Yohanes, Ari K
    JVC/Journal of Vibration and Control, 2021, 27 (3-4): : 415 - 425
  • [38] The theory of stability of an orbiting observatory with gyroscopic stabilization of motion
    Martynyuk, AA
    Miladzhanov, VG
    INTERNATIONAL APPLIED MECHANICS, 2000, 36 (05) : 682 - 690
  • [39] ATTITUDE STABILIZATION OF ROTATING SATELLITES BY MEANS OF GYROSCOPIC DEVICES
    MINGORI, DL
    KANE, TR
    JOURNAL OF THE ASTRONAUTICAL SCIENCES, 1967, 14 (04) : 158 - &
  • [40] Constrained H∞ control of gyroscopic ship stabilization systems
    Kuseyri, Sina
    PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART M-JOURNAL OF ENGINEERING FOR THE MARITIME ENVIRONMENT, 2020, 234 (03) : 634 - 641
12345