scholarly journals The analysis of the anti-aircraft missile flight controlled with gyroscopic system

2019 ◽  
Author(s):  
Konrad Stefanski
Keyword(s):  
Gyroscopic System

scholarly journals Towards a biomimetic gyroscope inspired by the fly's haltere using microelectromechanical systems technology

2014 ◽  
Vol 11 (99) ◽  
pp. 20140573 ◽  
Author(s):  
H. Droogendijk ◽  
R. A. Brookhuis ◽  
M. J. de Boer ◽  
R. G. P. Sanders ◽  
G. J. M. Krijnen
Keyword(s):  
Microelectromechanical Systems ◽  
Damping Ratio ◽  
Fast Response ◽  
Gyroscopic System ◽  
Drive Mode ◽  
Mems Gyroscope ◽  
Coriolis Forces ◽  
Mems Technology ◽  
Large Measurement ◽  
Theoretical Performance

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. Further, the theoretical performance of the fly's gyroscopic system and the developed MEMS haltere-based gyroscope is assessed and the potential of this MEMS gyroscope is discussed.

Eigenvalue Inclusion Principles for Distributed Gyroscopic Systems

1992 ◽  
Vol 59 (3) ◽  
pp. 650-656 ◽  
Author(s):  
B. Yang
Keyword(s):  
Transfer Function ◽  
Discrete System ◽  
Natural Frequencies ◽  
Gyroscopic System ◽  
Positive Real ◽  
Constrained System ◽  
Function Formulation ◽  
Pointwise Constraints ◽  
Gyroscopic Systems ◽  
Vibrating Systems

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 under pointwise constraints. A transfer function formulation is proposed to describe the constrained system. Five types of nondissipative constraints and their effects on the system natural frequencies are studied. It is shown that the transfer function formulation is a systematic and convenient way to handle constraint problems for the distributed gyroscopic system.

Stochastic Stability of Gyroscopic Systems Under Bounded Noise Excitation

2018 ◽  
Vol 18 (02) ◽  
pp. 1850022 ◽  
Author(s):  
Jian Deng
Keyword(s):  
Lyapunov Exponent ◽  
Parametric Resonance ◽  
Stochastic Stability ◽  
Largest Lyapunov Exponent ◽  
Gyroscopic System ◽  
Bounded Noise ◽  
Rotating Shaft ◽  
Dynamic Stochastic ◽  
The Largest Lyapunov Exponent ◽  
Gyroscopic Systems

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 problem governing moment Lyapunov exponents, the slope of which at the origin is equal to the largest Lyapunov exponent. Depending upon the numerical relationship between the natural frequency and the excitation frequencies, the gyroscopic system may fall into four types of parametric resonance, i.e. no resonance, subharmonic resonance, combination additive resonance, and combination differential resonance. The effects of noise and frequency detuning parameters on the parametric resonance are investigated. The results pave the way to utilize or control the vibration of gyroscopic systems under stochastic excitation.

PARAMETRIC STABILIZATION OF A GYROSCOPIC SYSTEM

2002 ◽  
Vol 255 (4) ◽  
pp. 635-662 ◽  
Author(s):  
R.J. MCDONALD ◽  
N. SRI NAMACHCHIVAYA
Keyword(s):  
Gyroscopic System

Unusual gyroscopic system eigenvalue behavior in high-speed planetary gears

2013 ◽  
Vol 332 (7) ◽  
pp. 1820-1828 ◽  
Author(s):  
Christopher G. Cooley ◽  
Robert G. Parker
Keyword(s):  
High Speed ◽  
Gyroscopic System ◽  
Planetary Gears
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