Study of Gyroscopic effects on a disc

Ali Hasan

doi:10.17485/IJST/v14i11.134

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v14i11.134

Year: 2021, Volume: 14, Issue: 11, Pages: 905-914

Original Article

Study of Gyroscopic effects on a disc

Ali Hasan^1*

¹Mechanical Engineering Department, Jamia Millia Islamia, New Delhi, India. Tel.: 9818036597

*Corresponding Author
Tel: 9818036597
Email: [email protected]

Received Date:23 January 2021, Accepted Date:25 March 2021, Published Date:08 April 2021

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Background/Objectives: Gyroscopic couple is a reactive couple which opposes any changes of the spinning motion of the spinning axis. The study aims to perform the experimental analysis of gyroscopic effects on a disc using the experimental setup available in machine dynamics laboratory at Mechanical Engineering Department, Jamia Millia Islamia, New Delhi. Method: The mass is kept in the pan at a fixed distance from rotor and the applied couple is calculated. The Gyroscopic couple is also found with the help of mass moment of inertia, rotor speed and precession speed. Findings: The author recorded the observations of various spinning speeds (881,1608,2004 and 2546 RPM) for 45◦, 90◦, 135◦ and 180◦ precession angle with a set of externally applied load of 1kg, 2kg, 3kg and 4 kg. The author verifies the gyroscopic couple, compares it with the applied couple and suggested the precession speeds along with the externally applied load to achieve the minimum error (mention the minimum error value). Novelty: The study will be useful for researchers in avoiding errors in the initial stage of their research work.

Keywords: Gyroscopic couple; applied couple; precession speed; precession angle

References

Stancin S, Tomazic S. On the interpretation of 3D Gyroscope measurements. Journal of Sensors. 2018;2018:1–8. doi: 10.1155/2018/9684326
Tunçel O, Altun K, Barshan B. Classifying human leg motions with uniaxial Piezoelectric Gyroscopes. Journal of Sensors. 2009;9(11):8508–8546. Available from: https://dx.doi.org/10.3390/s91108508
Sabatini AM. Estimating three dimensional orientation of human body parts by inertial / magnetic sensing. Journals of Sensors. 2011;11(12):1489–1525. Available from: https://doi.org/10.3390/s110201489
Polunin PM, Shaw SW. Self-induced parametric amplification in ring resonating gyroscopes. International Journal of Non-Linear Mechanics. 2017;94:300–308. Available from: https://dx.doi.org/10.1016/j.ijnonlinmec.2017.01.011
Watanabe K, Hokari M. Kinematical analysis and measurement of sports form. IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans. 2006;36(3):549–557. Available from: https://dx.doi.org/10.1109/tsmca.2005.855777
Jurman D, Jankovec M, Kamnik R, Topič M. Calibration and data fusion solution for the miniature attitude and heading reference system. Sensors and Actuators A: Physical. 2007;138(2):411–420. Available from: https://dx.doi.org/10.1016/j.sna.2007.05.008
Passaro VMN, Cuccovillo A, Vaiani L, Carlo MD, Campanella CE. Gyroscope technology and applications: A review in the industrial perspective. Sensors. 2017;17(10):2284. Available from: https://dx.doi.org/10.3390/s17102284
Tak PD. Self-Stablizing bike using Gyroscope. International Journal of Research in Engineering and Technology. 2017;6(11):27–30. Available from: https://dx.doi.org/10.15623/ijret.2017.0611006
Murashov MV. Transient thermal contact in gyro unit–platform assembly. IOP Conference Series: Materials Science and Engineering. 2019;630:1–9. Available from: https://dx.doi.org/10.1088/1757-899x/630/1/012021
Shah MA, Iqbal F, Shah IA, Lee B. Modal analysis of a Single-Structure multiaxis MEMS Gyroscope. Journal of Sensors. 2016;2016:1–8. Available from: https://dx.doi.org/10.1155/2016/4615389
Tripathi A, Bajaj AK. Computational synthesis for nonlinear dynamics based design of planar resonant structures. Journal of Vibration and Acoustics. 2013;135(5):51031. Available from: https://dx.doi.org/10.1115/1.4024845
Nitzan SH, Zega V, Li M, Ahn CH, Corigliano A, Kenny TW, et al. Self-induced parametric amplification arising from nonlinear elastic coupling in a micromechanical resonating disk gyroscope. Scientific Reports. 2015;5(1). Available from: https://dx.doi.org/10.1038/srep09036
Kessentin A, Chevallier G, JL, Rivière A, Haddar M. F.E.M. of the drilling machine –tool including the gyroscopic effect. Advances in Production Engineering & Management. 2007;2(2):63–78.
Nahlik T, Smetanova D. Applications of Gyroscopic effect in transportation. International Journal of Maritime Science and Technology. 65(4):293–296. doi: 10.17818/nm/2018/4si.24
Ghaffari S, Ng EJ, Ahn CH, Yang Y, Wang S, Hong VA, et al. Accurate modeling of quality factor behavior of complex silicon MEMS resonators. Journal of Microelectromechanical Systems. 2015;24(2):276–288. Available from: https://dx.doi.org/10.1109/jmems.2014.2374451
Ahn CH, Ng EJ, Hong VA, Yang Y, Lee BJ, Flader I. Mode-Matching of wineglass mode disk resonator Gyroscope in (100) single crystal silicon. Journal of Microelectromechanical Systems. 2015;24(2):343–350. Available from: https://dx.doi.org/10.1109/jmems.2014.2330590
Prikhodko IP, Zotov SA, Trusov AA, Shkel AM. Microscale Glass-Blown three-dimensional spherical shell resonators. Journal of Microelectromechanical Systems. 2011;20(3):691–701. Available from: https://dx.doi.org/10.1109/jmems.2011.2127453
Kim SK, Tilbury DM. Mathematical modeling and experimental identification of an unmanned helicopter robot with flybar dynamics. Journal of Robotic Systems. 2004;21(3):95–116. Available from: https://dx.doi.org/10.1002/rob.20002
Dunn T, Wenzler JS, Mohanty P. Anharmonic modal coupling in a bulk micromechanical resonator. Applied Physics Letters. 2010;97(12):123109. Available from: https://dx.doi.org/10.1063/1.3489423
Cho JY, Woo J, Yan J, L R. Fused-silica micro birdbath resonator gyroscope (μ-BRG) Journal of Microelectromechanical Systems. 2014;23(1):66–77. doi: 10.1109/JMEMS.2013.2291534
Usubamatov R. New analytical approach for finding the Gyroscope forces and its properties. Asian Journal of Scientific Research. 2017;10(4):380–386. Available from: https://dx.doi.org/10.3923/ajsr.2017.380.386
Cruz P. Experimental Design and Analysis of a Gyroelastic Beam. Latin American Journal of Solids and Structures. 2018;15(8):e102. Available from: https://doi.org/10.1590/1679-78254803
Pranav KRA, Elavarasan C, . Fibrillation detection using accelerometer and Gyroscope of a smartphone. International Journal of Trend in Scientific Research and Development. 2018;2(3):761–764. Available from: https://dx.doi.org/10.31142/ijtsrd11074
Chow JCK, Hol JD, Luinge H. Tightly-Coupled joint user Self-Calibration of Accelerometers, Gyroscopes, and Magnetometers. Drones. 2018;2(6). Available from: https://doi.org/10.3390/drones2010006
Widodo CE, Adi K. Monitoring for vehicle velocity and acceleration using an accelerometer. International Journal of Innovative Research in Advanced Engineering. 2017;4(11):20–23. doi: 10.26562/IJIRAE.2017.NVAE10086
Gogoi P, Nath M, Doley BT, Boruah A, Barman HJ. Design and fabrication of self balancing Two-Wheeler model using Gyroscope. International Journal of Engineering and Technology. 2017;9(3):2051–2058. doi: 10.21817/ijet/2017/v9i3/1709030206
Ng TW. An experiment on the gyroscopic effect. Exp Tech. 2005;29:22–25. Available from: https://doi.org/10.1111/j.1747-1567.2005.tb00226.x
Felice AD, Sorrentino S. Damping and gyroscopic effects on the stability of parametrically excited continuous rotor systems. Nonlinear Dynamics. 2021. doi: 10.1007/s11071-020-06106-3
Gray R. Gyroscopic principles and applications. Nature. 1944;153:277–278. Available from: https://doi.org/10.1038/153277a0

Copyright

© 2021 Hasan.This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee).