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Journal articles on the topic 'Gyroscopic systems'

Author: Grafiati

Published: 4 May 2022

Last updated: 5 May 2022

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1

Kudelin, Igor, Srikanth Sugavanam, and Maria Chernysheva. "Rotation Active Sensors Based on Ultrafast Fibre Lasers." Sensors 21, no. 10 (2021): 3530. http://dx.doi.org/10.3390/s21103530.

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Gyroscopes merit an undeniable role in inertial navigation systems, geodesy and seismology. By employing the optical Sagnac effect, ring laser gyroscopes provide exceptionally accurate measurements of even ultraslow angular velocity with a resolution up to 10−11 rad/s. With the recent advancement of ultrafast fibre lasers and, particularly, enabling effective bidirectional generation, their applications have been expanded to the areas of dual-comb spectroscopy and gyroscopy. Exceptional compactness, maintenance-free operation and rather low cost make ultrafast fibre lasers attractive for sensi

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2

Ünker, F., and O. Çuvalcı. "Optimum Tuning of a Gyroscopic Vibration Absorber Using Coupled Gyroscopes for Vibration Control of a Vertical Cantilever Beam." Shock and Vibration 2016 (2016): 1–10. http://dx.doi.org/10.1155/2016/1496727.

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This paper deals with the investigation of optimum values of the stiffness and damping which connect two gyroscopic systems formed by two rotors mounted in gimbal assuming negligible masses for the spring, damper, and gimbal support. These coupled gyroscopes use two gyroscopic flywheels, spinning in opposing directions to have reverse precessions to eliminate the forces due to the torque existing in the torsional spring and the damper between gyroscopes. The system is mounted on a vertical cantilever with the purpose of studying the horizontal and vertical vibrations. The equation of motion of

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3

KHASMINSKII, R., and G. N. MILSTEIN. "STABILITY OF GYROSCOPIC SYSTEMS UNDER SMALL RANDOM EXCITATIONS." Stochastics and Dynamics 04, no. 01 (2004): 107–33. http://dx.doi.org/10.1142/s0219493704000924.

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Gyroscopic systems with two degrees of freedom under small random perturbations are investigated by use of the stochastic averaging principle. It is proved that the principal term of the Lyapunov exponent for the original system coincides with the Lyapunov exponent for the averaged system. An explicit formula for the averaged Lyapunov exponent is derived. The averaged moment Lyapunov exponent is also considered. An example is given in which an unstable gyroscopical system is stabilized by noise of the Stratonovich type.

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4

Hryniv, R., and P. Lancaster. "Stabilization of Gyroscopic Systems." ZAMM 81, no. 10 (2001): 675–81. http://dx.doi.org/10.1002/1521-4001(200110)81:10<675::aid-zamm675>3.0.co;2-r.

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5

Kuseyri, Sina. "Constrained H∞ control of gyroscopic ship stabilization systems." Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment 234, no. 3 (2020): 634–41. http://dx.doi.org/10.1177/1475090220903217.

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We suggest a constrained [Formula: see text] control scheme for gyroscopic marine vehicle stabilization systems with output and control constraints. The [Formula: see text] performance is used to measure the roll angle reduction of the vessel relative to wave disturbances in regular beam seas. Time-domain constraints, representing requirements for precession angle of gyroscopes and for actuator saturation, are captured using the concept of reachable sets and state-space ellipsoids. A state feedback solution to the constrained [Formula: see text] stabilization control problem is proposed in the

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6

Yang, B. "Eigenvalue Inclusion Principles for Discrete Gyroscopic Systems." Journal of Applied Mechanics 59, no. 2S (1992): S278—S283. http://dx.doi.org/10.1115/1.2899501.

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In his famous treatise The Theory of Sound, Rayleigh enunciated an eigenvalue inclusion principle for modified discrete nongyroscopic systems. According to this principle, the natural frequencies of a nongyroscopic system without and with modification are alternatively located along the positive real axis. Although vibration and dynamics of discrete gyroscopic systems have been extensively studied, the problem of inclusion principles for discrete gyroscopic systems has not been addressed. This paper presents several eigenvalue inclusion principles for a class of discrete gyroscopic systems. A

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7

Barkwell, Lawrence, and Peter Lancaster. "Overdamped and Gyroscopic Vibrating Systems." Journal of Applied Mechanics 59, no. 1 (1992): 176–81. http://dx.doi.org/10.1115/1.2899425.

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Some linear vibrating systems give rise to differential equations of the form Ix¨(t) + Bx˙(t) + Cx(t) = 0, where B and C are square matrices. Stability criteria involving only the matrix coefficients I, B, C, and a single parameter are obtained for some special cases. Thus, if B* = B> 0, C* = C>0 and B>kI + k−1C, then the system will be overdamped (and hence stable). Gyroscopic systems also have the above form where B is real and skew symmetric. The case where C>0 is well understood and for the case −C>0 we show the condition Babs>kI−k−1C for some k>0 will ensure stability

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8

Ariaratnam, S. T., and N. Sri Namachchivaya. "Periodically Perturbed Linear Gyroscopic Systems*." Journal of Structural Mechanics 14, no. 2 (1986): 127–51. http://dx.doi.org/10.1080/03601218608907513.

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9

Ariaratnam, S. T., and N. Sri Namachchivaya. "Periodically Perturbed Nonlinear Gyroscopic Systems*." Journal of Structural Mechanics 14, no. 2 (1986): 153–75. http://dx.doi.org/10.1080/03601218608907514.

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10

Datta, B. N., Y. M. Ram, and D. R. Sarkissian. "Spectrum Modification for Gyroscopic Systems." ZAMM 82, no. 3 (2002): 191–200. http://dx.doi.org/10.1002/1521-4001(200203)82:3<191::aid-zamm191>3.0.co;2-l.

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11

Kosov, A. A. "Gyroscopic stabilization of nonconservative systems." Journal of Applied and Industrial Mathematics 2, no. 4 (2008): 513–21. http://dx.doi.org/10.1134/s199047890804008x.

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12

Sri Namachchivaya, N., and S. T. Ariaratnam. "Stochastically Perturbed Linear Gyroscopic Systems." Mechanics of Structures and Machines 15, no. 3 (1987): 323–45. http://dx.doi.org/10.1080/08905458708905122.

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13

Hein, Rafał, and Cezary Orlikowski. "Optimum Control of Gyroscopic Systems." Solid State Phenomena 164 (June 2010): 121–26. http://dx.doi.org/10.4028/www.scientific.net/ssp.164.121.

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The problem of optimal control of transverse rotor vibrations with gyroscopic interactions has been described and solved in the paper. An integral performance index has been defined for such system in order to minimize vibration level of a chosen rotor point. For this reason, an efficient way of establishing weight coefficients of integral performance index for multi-degree-of-freedom system with gyroscopic interactions has been described. Presented method enables to determine such weighing coefficients that selected modal forms would be assumed before dynamics properties and a performance ind

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14

Voronin, A. A., and V. V. Sazonov. "Periodic motions of gyroscopic systems." Journal of Applied Mathematics and Mechanics 52, no. 5 (1988): 560–69. http://dx.doi.org/10.1016/0021-8928(88)90103-7.

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15

Zwiers, U., and M. Braun. "Vibration Analysis of Gyroscopic Systems." PAMM 6, no. 1 (2006): 347–48. http://dx.doi.org/10.1002/pamm.200610155.

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16

Droogendijk, H., R. A. Brookhuis, M. J. de Boer, R. G. P. Sanders, and G. J. M. Krijnen. "Towards a biomimetic gyroscope inspired by the fly's haltere using microelectromechanical systems technology." Journal of The Royal Society Interface 11, no. 99 (2014): 20140573. http://dx.doi.org/10.1098/rsif.2014.0573.

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Flies use so-called halteres to sense body rotation based on Coriolis forces for supporting equilibrium reflexes. Inspired by these halteres, a biomimetic gimbal-suspended gyroscope has been developed using microelectromechanical systems (MEMS) technology. Design rules for this type of gyroscope are derived, in which the haltere-inspired MEMS gyroscope is geared towards a large measurement bandwidth and a fast response, rather than towards a high responsivity. Measurements for the biomimetic gyroscope indicate a (drive mode) resonance frequency of about 550 Hz and a damping ratio of 0.9. Furth

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17

Ma, Rui, Weiguo Liu, Xueping Sun, Shun Zhou, and Dabin Lin. "FEM Simulation of a High-Performance 128°Y–X LiNbO3/SiO2/Si Functional Substrate for Surface Acoustic Wave Gyroscopes." Micromachines 13, no. 2 (2022): 202. http://dx.doi.org/10.3390/mi13020202.

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To obtain a high-performance surface acoustic wave (SAW) gyroscope substrate, the propagation characteristics and gyroscopic effect of Rayleigh waves in a 128°Y–X LiNbO3/SiO2/Si (LNOI) functional substrate were investigated with a three-dimensional finite element method. The influence of LNOI structural parameters on Rayleigh wave characteristics, including the phase velocity (vp), electromechanical coupling coefficient (K2) and temperature coefficient of frequency (TCF), were analyzed. The results demonstrate that the SiO2 layer compensates for the negative TCF of 128°Y–X LiNbO3 and enhances

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18

Qian, Y. J., X. D. Yang, H. Wu, W. Zhang, and T. Z. Yang. "Gyroscopic modes decoupling method in parametric instability analysis of gyroscopic systems." Acta Mechanica Sinica 34, no. 5 (2018): 963–69. http://dx.doi.org/10.1007/s10409-018-0762-3.

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19

Parker, R. G. "Analytical Vibration of Spinning, Elastic Disk-Spindle Systems." Journal of Applied Mechanics 66, no. 1 (1999): 218–24. http://dx.doi.org/10.1115/1.2789149.

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This work develops the dynamic equations of motion for a spinning disk-spindle system and casts them in a structured formulation that reveals the classical gyroscopic nature of the system. The disk and spindle are modeled as elastic continua coupled by a rigid, three-dimensional clamp. The inherent structure of the system is clarified with the definition of extended operators that collect the component disk, spindle, and clamp equations of motion into a compact analytical form. The extended operators are easily identified as the inertia, elastic bending stiffness, gyroscopic, and rotational st

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20

Carta, G., M. J. Nieves, I. S. Jones, N. V. Movchan, and A. B. Movchan. "Flexural vibration systems with gyroscopic spinners." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 377, no. 2156 (2019): 20190154. http://dx.doi.org/10.1098/rsta.2019.0154.

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In this paper, we study the spectral properties of a finite system of flexural elements connected by gyroscopic spinners. We determine how the eigenfrequencies and eigenmodes of the system depend on the gyricity of the spinners. In addition, we present a transient numerical simulation that shows how a gyroscopic spinner attached to the end of a hinged beam can be used as a ‘stabilizer’, reducing the displacements of the beam. We also discuss the dispersive properties of an infinite periodic system of beams with gyroscopic spinners at the junctions. In particular, we investigate how the band-ga

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21

Lancaster, P., and P. Zizler. "On the Stability of Gyroscopic Systems." Journal of Applied Mechanics 65, no. 2 (1998): 519–22. http://dx.doi.org/10.1115/1.2789085.

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Gyroscopic systems considered here have the form Ay¨ + Gy˙ + Ky = 0 where A, G, K are real n × n matrices with A > O, GT = −G, KT = K, and the stiffness matrix K has some negative eigenvalues; i.e., the equilibrium position is unstable (when G = 0). A new necessary condition for stability is established. It is also shown that gyroscopic systems with K < 0 and G singular are always unstable for G sufficiently large.

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22

Kurosu, Shigeru, Motoyuki Adachi, and Kazuyuki Kamimura. "Dynamical Characteristics of Gyroscopic Weight Measuring Device." Journal of Dynamic Systems, Measurement, and Control 119, no. 2 (1997): 346–50. http://dx.doi.org/10.1115/1.2801263.

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This paper describes analytical and experimental studies about an entirely new system for measuring forces using a gyroscope(called Gyroscopic Weight Measuring Device, or simply “GWMD” throughout this paper) which provides precise direct digital output proportional to the single axis weight applied. In spite of the complexity of the servo-mechanism, the action of the GWMD is inherently linear, hysteresis, and drift free. Topics in this paper are summarized as follows: 1) The principal dynamical characteristics of the GWMD using a two-degree-of-freedom mathematical model for a gyroscope are ana

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23

Sawicki, J. T., and W. K. Gawronski. "Balanced Model Reduction and Control of Rotor-Bearing Systems." Journal of Engineering for Gas Turbines and Power 119, no. 2 (1997): 456–63. http://dx.doi.org/10.1115/1.2815596.

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An effective technique is applied to the suppression of vibrations in flexible rotor-bearing systems with small gyroscopic effects. A balanced linear-quadratic-Gaussian (LQG) controller design procedure is implemented. The size of the controller is reduced in two stages by using (i) a balanced model reduction, and (ii) an LQG balanced reduction. The condition for a gyroscopic matrix is developed that allows one to ignore the rotor gyroscopic effects in the process of the controller design, although they are included in the rotor dynamics. The approach is illustrated on a typical rotor-bearing

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24

Zhuravlev, V. Ph. "Spectral properties of linear gyroscopic systems." Mechanics of Solids 44, no. 2 (2009): 165–68. http://dx.doi.org/10.3103/s0025654409020010.

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25

Kirillov, Oleg N. "Gyroscopic stabilization of non-conservative systems." Physics Letters A 359, no. 3 (2006): 204–10. http://dx.doi.org/10.1016/j.physleta.2006.06.040.

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26

Chorianopoulos, Christos, and Peter Lancaster. "An inverse problem for gyroscopic systems." Linear Algebra and its Applications 465 (January 2015): 188–203. http://dx.doi.org/10.1016/j.laa.2014.09.022.

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27

Walker, J. A. "Stability of Linear Conservative Gyroscopic Systems." Journal of Applied Mechanics 58, no. 1 (1991): 229–32. http://dx.doi.org/10.1115/1.2897155.

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Sufficient conditions are obtained for the stability and instability of linear conservative gyroscopic systems. The conditions are nonspectral, involve only the definiteness of certain combinations of the coefficient matrices, and may yield useful design constraints. An example is employed to compare these results with earlier results of the same type.

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28

Ferng, W. R., Wen-Wei Lin, and Chern-Shuh Wang. "Numerical algorithms for undamped gyroscopic systems." Computers & Mathematics with Applications 37, no. 1 (1999): 49–66. http://dx.doi.org/10.1016/s0898-1221(98)00241-7.

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29

Freitas, Pedro. "Delay-induced Instabilities in Gyroscopic Systems." SIAM Journal on Control and Optimization 39, no. 1 (2000): 196–207. http://dx.doi.org/10.1137/s0363012999357938.

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30

Viderman, Z., F. P. J. Rimrott, and W. L. Cieghorn. "Parametrically Excited Linear Nonconservative Gyroscopic Systems*." Mechanics of Structures and Machines 22, no. 1 (1994): 1–20. http://dx.doi.org/10.1080/08905459408905202.

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31

Bulatovic, R. M. "A stability theorem for gyroscopic systems." Acta Mechanica 136, no. 1-2 (1999): 119–24. http://dx.doi.org/10.1007/bf01292302.

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32

Nosirov, F. U. "Lowering the order of gyroscopic systems." Ukrainian Mathematical Journal 43, no. 4 (1991): 345–53. http://dx.doi.org/10.1007/bf01670075.

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33

Nosirov, F. U. "Lowering the order of gyroscopic systems." Ukrainian Mathematical Journal 43, no. 3 (1991): 345–53. http://dx.doi.org/10.1007/bf01060845.

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34

Yang, B. "Natural frequencies of combined gyroscopic systems." Journal of Sound and Vibration 159, no. 1 (1992): 23–37. http://dx.doi.org/10.1016/0022-460x(92)90449-8.

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35

SAWICKI, J. T., and G. GENTA. "MODAL UNCOUPLING OF DAMPED GYROSCOPIC SYSTEMS." Journal of Sound and Vibration 244, no. 3 (2001): 431–51. http://dx.doi.org/10.1006/jsvi.2000.3473.

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36

Deng, Jian. "Stochastic Stability of Gyroscopic Systems Under Bounded Noise Excitation." International Journal of Structural Stability and Dynamics 18, no. 02 (2018): 1850022. http://dx.doi.org/10.1142/s0219455418500220.

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Dynamic stochastic stability of a two-degree-of-freedom gyroscopic system under bounded noise parametric excitation is studied in this paper through moment Lyapunov exponent and the largest Lyapunov exponent. A rotating shaft subject to stochastically fluctuating thrust is taken as a typical example. To obtain these two exponents, the gyroscopic differential equation of motion is first decoupled into Itô stochastic differential equations by using the method of stochastic averaging. Then mathematical transformations are used in these Itô equation to obtain a partial differential eigenvalue prob

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37

Yang, B. "Eigenvalue Inclusion Principles for Distributed Gyroscopic Systems." Journal of Applied Mechanics 59, no. 3 (1992): 650–56. http://dx.doi.org/10.1115/1.2893773.

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In his famous treatise The Theory of Sound, Rayleigh enunciated an eigenvalue inclusion principle for the discrete, self-adjoint vibrating system under a constraint. According to this principle, the natural frequencies of the discrete system without and with the constraint are alternately located along the positive real axis. Although it is commonly believed that the same rule also applied for distributed vibrating systems, no proof has been given for the distributed gyroscopic system. This paper presents several eigenvalue inclusion principles for a class of distributed gyroscopic systems und

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38

Orlikowski, Cezary, and Rafał Hein. "Modal Reduction and Analysis of Gyroscopic Systems." Solid State Phenomena 164 (June 2010): 189–94. http://dx.doi.org/10.4028/www.scientific.net/ssp.164.189.

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The paper introduces the method of the modal reduction of systems that experience the Coriolis acceleration or gyroscopic effect component. In such cases corresponding system equations are non-self-adjoined. To solve the problem modal reduced model is built up for the system without Coriolis acceleration or gyroscopic effect terms. These phenomena are next included by application of any lumping technique. Hence, the final reduced model is a hybrid one, obtained by both lumping and modal methods of modelling.

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39

Polekhin, I. Y. "Remarks on Forced Oscillations in Some Systems with Gyroscopic Forces." Nelineinaya Dinamika 16, no. 2 (2020): 343–53. http://dx.doi.org/10.20537/nd200208.

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40

Vlakhova, A. V. "Nonholonomic motions of gyroscopic and wheeled systems." Moscow University Mechanics Bulletin 68, no. 5 (2013): 126–32. http://dx.doi.org/10.3103/s0027133013050038.

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41

Norris, Mark A., and Larry Silverberg. "Modal identification of gyroscopic distributed-parameter systems." AIAA Journal 28, no. 12 (1990): 2104–9. http://dx.doi.org/10.2514/3.10528.

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42

Lancaster, Peter. "Stability of linear gyroscopic systems: A review." Linear Algebra and its Applications 439, no. 3 (2013): 686–706. http://dx.doi.org/10.1016/j.laa.2012.12.026.

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43

Lancaster, P., A. S. Markus, and F. Zhou. "A wider class of stable gyroscopic systems." Linear Algebra and its Applications 370 (September 2003): 257–67. http://dx.doi.org/10.1016/s0024-3795(03)00395-1.

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44

Yang, B., and C. D. Mote. "Controllability and Observability of Distributed Gyroscopic Systems." Journal of Dynamic Systems, Measurement, and Control 113, no. 1 (1991): 11–17. http://dx.doi.org/10.1115/1.2896336.

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Controllability and observability of a class of distributed gyroscopic systems under pointwise actuators and sensors are presented. The equations of motion are cast in a state space form, in which orthogonality of the eigenfunctions is obtained. The controllability and observability conditions in finite dimensions are obtained for a model representing a truncated modal expansion of the distributed system. In infinite dimensions the controllability and observability conditions are obtained through semi-group theory. In both the finite and infinite dimensional models the conditions of controllab

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45

Peshekhonov, V. G. "Gyroscopic navigation systems: Current status and prospects." Gyroscopy and Navigation 2, no. 3 (2011): 111–18. http://dx.doi.org/10.1134/s2075108711030096.

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46

Mukherjee, R., and R. C. Rosenberg. "Gyroscopic Coupling in Holonomic Lagrangian Dynamical Systems." Journal of Applied Mechanics 66, no. 2 (1999): 552–56. http://dx.doi.org/10.1115/1.2791084.

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47

Renshaw, A. A. "Stability of Gyroscopic Systems Near Vanishing Eigenvalues." Journal of Applied Mechanics 65, no. 4 (1998): 1062–64. http://dx.doi.org/10.1115/1.2791903.

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Renshaw and Mote (1996) proposed a conjecture concerning the growth of vibrating eigensolutions of gyroscopic systems in the neighborhood of a vanishing eigenvalue when the system operators depend on an independent system parameter. Although the conjecture was not proved, it was supported by several examples drawn from well-known continuous physical systems. Lancaster and Kliem (1997), however, recently presented three two-degree-of-freedom counter examples. Unlike the examples tested by Renshaw and Mote (1996), these counter examples lack a definiteness property that is usually found in model

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48

Zheng, Zhaochang, Gexue Ren, and F. W. Williams. "The eigenvalue problem for damped gyroscopic systems." International Journal of Mechanical Sciences 39, no. 6 (1997): 741–50. http://dx.doi.org/10.1016/s0020-7403(96)00072-0.

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49

Alsaffar, Yaser, Sadok Sassi, and Amr Baz. "Band gap characteristics of periodic gyroscopic systems." Journal of Sound and Vibration 435 (November 2018): 301–22. http://dx.doi.org/10.1016/j.jsv.2018.07.015.

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50

Meirovitch, L. "A Separation Principle for Gyroscopic Conservative Systems." Journal of Vibration and Acoustics 119, no. 1 (1997): 110–19. http://dx.doi.org/10.1115/1.2889678.

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Closed-form solutions to differential eigenvalue problems associated with natural conservative systems, albeit self-adjoint, can be obtained in only a limited number of cases. Approximate solutions generally require spatial discretization, which amounts to approximating the differential eigenvalue problem by an algebraic eigenvalue problem. If the discretization process is carried out by the Rayleigh-Ritz method in conjunction with the variational approach, then the approximate eigenvalues can be characterized by means of the Courant and Fischer maximin theorem and the separation theorem. The

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