The Evaluation of the Effectiveness of Design and Technological Solutions to Reduce Vibration Activity of Drive Gear Mechanisms Based on the Analysis of Normal Vibration Modes
Authors: Ishin N.N., Goman A.M., Skorokhodov A.S. | Published: 07.09.2016 |
Published in issue: #9(678)/2016 | |
Category: Calculation and Design of Machinery | |
Keywords: gear, normal frequencies, normal modes, shock pulse, vibration activity criterion, compound gear |
At present, practically all machine manufacturers face the problem of improving vibroacoustic characteristics of drive gear mechanisms. In this regard, it is important at the design stage to assess the feasibility of new design and technological solutions and the choice of gear parameters from the point of view of optimization of the dynamic characteristics of the drive. It can be achieved through a comparative quality assessment of dynamic systems based on the analysis of their normal modes. The rationale for this approach lies in the fact that initially there is no consistent data about dissipative characteristics of junctions, parts and materials of the elastic elements. When comparing various dynamic schemes, it is proposed to use the vibration activity criterion Hk. It is expressed using an additionally introduced coefficient that characterizes the relation of the parameters of the shock pulses occurring when the compared systems are engaged. The shape of the excitation pulses in the meshing of the drive gears is adopted in the form of half-sine waves, which differs from the generally accepted rectangular shape. The authors consider an example in which the Hk criterion is applied for evaluating the efficiency of design solutions to reduce vibration activity of gears by using a compound gear with elastic fastening and high compliance of the toothing. As a result of the refined calculations, the value of the vibration activity criterion of the compared dynamic schemes is obtained. This value is better correlated with the results of experimental studies.
References
[1] Grinkevich V.K., Ovchinnikov N.F. Optimizatsiia sobstvennykh form dinamicheskoi sistemy. V kn.: Metody sozdaniia mashin v maloshumnom ispolnenii [Optimization of own forms of a dynamic system. The book Methods of making cars in low-noise performance]. Moscow, Nauka publ., 1978, pp. 49–51.
[2] Berestnev, O.V., Goman A.M., Ishin N.N. Analiticheskie metody mekhaniki v dinamike privodov [Analytical methods of mechanics in the dynamics of the drives]. Minsk, Navuka i tekhnika publ., 1992. 238 p.
[3] Berestnev O.V., Goman A.M., Skorokhodov A.S. Sravnitel’naia otsenka vibroaktivnosti zubchatykh peredach metodom razlozheniia dvizheniia po sobstvennym formam [Comparative evaluation vibroaktivnosti gears by expansion movement by ownership]. Doklady ANB, tekhnicheskie nauki [Reports of the NSA, engineering science]. 1994, vol. 38, no. 3, pp. 115–117.
[4] Ishin N.N., Levantsevich M.A., Maksimchenko N.N., Goman A.M., Issledovanie vibroakusticheskikh kharakteristik konicheskikh zubchatykh peredach s pokrytiem [The research of vibroacoustic characteristics of conic tooth gearings with a coating]. Uprochniaiushchie tekhnologii i pokrytiia [Strengthening Technologies and Coatings]. 2006, no. 11, pp. 43–49.
[5] Loitsianskii L.G., Lur’e A.I. Kurs teoreticheskoi mekhaniki. T. 2: Dinamika [Course of theoretical mechanics. Vol. 2: Dynamics]. Moscow, Drofa publ., 2006. 720 p.
[6] Vibratsii v tekhnike: Spravochnik [Vibration technique: Directory]. Ed. Dimentberg F.M., Kolesnikov K.S., Moscow, Mashinostroenie publ., 1980. 544 p.
[7] Ishin N.N., Goman A.M., Skorokhodov A.S., Gavrilov S.A. Diagnostika tekhnicheskogo sostoianiia privodnykh zubchatykh mekhanizmov na osnove analiza udarnykh protsessov v zubchatykh peredachakh [Diagnostics of technical condition of the drive gear mechanism based on the analysis of impact processes in the gears]. Tekhnicheskaia diagnostika i nerazrushaiushchii kontrol’ [Technical Diagnostics and Nondestructive Testing]. 2012, no. 4, pp. 43–45.
[8] Ishin N.N., Goman A.M., Skorokhodov A.S. Issledovanie parametrov udarnogo impul’sa v zubchatom zatseplenii priamozubykh tsilindricheskikh zubchatykh koles [Investigation of the parameters of the shock pulse in the spur gears gearing]. Mekhanika mashin, mekhanizmov i materialov [Mechanics of Machines, Mechanisms and Materials]. 2011, no. 3, pp. 19–23.
[9] Ishin N.N., Goman A.M., Skorokhodov A.S. Issledovanie udarnogo vzaimodeistviia priamozubykh zubchatykh koles primenitel’no k zadacham vibrodiagnostiki. Opredelenie parametrov udarnogo impul’sa v zubchatom zatseplenii priamozubykh tsilindricheskikh zubchatykh koles [Research of shock interaction of spur cogwheels according to vibrodiagnostic problems. Definition of parameters of a shock impulse in spur cylindrical cogwheels]. Vestsi NAN Belarusi, seryia fiziko-tekhnicheskikh navuk [Proceedings of the National Academy of Sciences of Belarus. Series of physical-technical sciences]. 2012, no. 1, pp. 65–71.
[10] Berestnev O.V. Samoustanavlivaiushchiesia zubchatye kolesa [Aligning gears]. Minsk, Navuka i tekhnika publ., 1983. 312 p.