Abstract—
Modern radio-engineering complexes, computers, and navigation systems placed on moving objects (aircrafts, ships, cars, etc.) may be subjected to significant pulsed and vibration mechanical loads during exploitation, such as impacts, vibrations, linear overloads, and acoustic noise. They may distort the parameters of electric signals, introduce additional errors into instrument readings, and destroy elements of equipment. Therefore, there is a need to minimize undesirable motions of these devices. An efficient way to do this is to organize passive vibration isolation of device, based on the use of inertial, elastic, dissipative, and other passive elements. The object of this study is a block of electronic devices fixed (using a system of four dampers) on a rigid platform of a supporting structure, which is subjected to translational vibrations in three mutually orthogonal directions. As a result, angular vibrations are excited in the insulated block. Mathematical modeling of the block response to external disturbances is performed in the framework of the classical theory of rigid body dynamics. A series of numerical experiments is performed to determine the response of the kinematic characteristics of insulated block to an external periodic action at different values of the stiffness coefficient and energy dissipation coefficients of dampers and different positions of the center of mass of the system. It is shown that a deviation of the position of the center of mass from that of the center of rigidity, as well as a change in the stiffness and energy dissipation coefficients of dampers within the spread of their mean values, cause a significant increase in the angular oscillations of insulated block.
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REFERENCES
Lee, J. and Okwudire, C.E., Reduction of vibrations of passively-isolated ultra-precision manufacturing machines using mode coupling, Precis. Eng., 2016, vol. 43, pp. 164–177. https://doi.org/10.1016/j.precisioneng.2015.07.006
Savage, P.G., Strapdown inertial navigation integration algorithm design. Part 1: Attitude algorithms, J. Guid. Contr. Dyn., 1998, vol. 21, pp. 19–28. https://doi.org/10.2514/2.4228
Lin, Y., Zhang, W., and Xiong, J., Specific force integration algorithm with high accuracy for strapdown inertial navigation system, Aero. Sci. Tech., 2015, vol. 42, pp. 25–30. https://doi.org/10.1016/j.ast.2015.01.001
Zhuravlev, V.P. and Klimov, D.M., Global motion of the celt, Mech. Solids, 2008, vol. 43, pp. 320–327. https://doi.org/10.3103/S0025654408030023
Crocker, M.J., Handbook of Noise and Vibration Control, Hoboken: Wiley, 2007.
Bohnert, K., Gabus, P., Nehring, J., and Brandle, H., Temperature and vibration insensitive fiber-optic current sensor, J. Lightwave Technol., 2002, vol. 20, pp. 267–276. https://doi.org/10.1109/50.983241
Wang, W., Wang, X., and Xia, J., The nonreciprocal errors in fiber optic current sensors, Opt. Laser Technol., 2011, vol. 43, pp. 1470–1474. https://doi.org/10.1016/j.optlastec.2011.05.002
Zhang, Y. and Gao, Z., Fiber optic gyroscope vibration error due to fiber tail length asymmetry based on elastic-optic effect, Opt. Eng., 2012, vol. 51, p. 124403. https://doi.org/10.1117/1.OE.51.12.124403
Kurbatov, A.M. and Kurbatov, R.A., The vibration error of the fiber-optic gyroscope rotation rate and methods of its suppression, J. Commun. Technol. Electron., 2013, vol. 58, pp. 840–846. https://doi.org/10.1134/S1064226913070085
Il’inskiy, V.S., Zashchita REA i pretsizionnogo oborudovaniya ot dinamicheskikh vozdeistvii (Protection of REA and Precision Equipment from Dynamic Effects), Moscow: Radio i Svyaz’, 1982.
Lee, J. and Okwudire, C.E., Reduction of vibrations of passively-isolated ultra-precision manufacturing machines using mode coupling, Precis. Eng., 2016, vol. 43, pp. 164–177. https://doi.org/10.1016/j.precisioneng.2015.07.006
Verbaan, K., van der Meulen, S., and Steinbuch, M., Broadband damping of high-precision motion stages, Mechatronics, 2017, vol. 41, pp. 1–16. https://doi.org/10.1016/j.mechatronics.2016.10.014
Eliseev, S.V., Khomenko, A.P., and Logunov, A.S., Dinamicheskii sintez v obobshchennykh zadachakh vibrozashchity i vibroizolyatsii tekhnicheskikh ob’ektov (Dynamic Synthesis of the Generic Problems of Vibration Protection and Vibration Insulation of Technical Objects), Irkutsk: Irkut. Gos. Univ., 2008.
Frolov, K.V. and Furman, F.A., Prikladnaya teoriya vibrozashchitnykh sistem (Applied Vibration Protection Theory), Moscow: Mashinostroyeniye, 1980.
Ganiev, R.F. and Kononenko, V.O., Kolebaniya tverdykh tel (Oscillations of Solids), Moscow: Nauka, 1976.
Funding
This study was supported by the Complex Program of Fundamental Research of the Ural Branch of the Russian Academy of Sciences within project no. 18-11-1-10 “Study of the Vibrational Processes in Vibration-Sensitive Devices and Development of Approaches and Tools for Their Vibration Isolation.”
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Translated by Yu. Sin’kov
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Shardakov, I.N., Glot, I.O., Shestakov, A.P. et al. Parametric Analysis of the Interaction between Angular and Translational Vibrations of Vibration-Sensitive Systems. J Appl Mech Tech Phy 61, 1268–1276 (2020). https://doi.org/10.1134/S0021894420070111
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DOI: https://doi.org/10.1134/S0021894420070111