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To Сalculation of Shock Vibration Suppressors of Unilateral Action

Авторы: Timofeev G.A., Lyuminarskiy I.E., Lyuminarskiy S.E. Опубликовано: 18.02.2019
Опубликовано в выпуске: #1(124)/2019  

DOI: 10.18698/0236-3941-2019-1-90-100

 
Раздел: Машиностроение и машиноведение | Рубрика: Машиноведение  
Ключевые слова: shock vibration suppressor, free fluctuations, forced oscillations, coefficient of restitution, characteristic equation, partial frequency

The method of calculation of shock spring vibration suppressors of unilateral action at harmonic disturbance is considered. The problems arising at mathematical model operation of such systems are noted. In the available techniques, usually assume that during change of external indignation there is one impact of an object and a suppressor. Cases in which it is impossible to use the specified assumption are given. The calculation algorithm considering a possibility of several impacts for one frequency period is offered. Laws of motion of an object and suppressor are defined by addition of the equations of the compelled and free fluctuations. The stereomechanical model of blow is applied to accounting of shock interaction of bodies. The technique allows calculating time between impacts, the period of change of coordinates of bodies and the number of impacts for frequency period. The example of a duty of a shock suppressor at which for frequency period there are several impacts of an object and suppressor is given

Литература

[1] Bolotin V.V., ed. Vibratsii v tekhnike. T. 1. Kolebaniya lineynykh sistem [Vibrations in technique. Vol. 1. Linear systems oscillations]. Moscow, Mashinostroenie Publ., 1999.

[2] Lyuminarskiy I.E., Lyuminarskiy S.E. Method of design of linear systems with unilateral constraints in static loading. Vestn. Mosk. Gos. Tekh. Univ. im. N.E. Baumana, Mashinostr. [Herald of the Bauman Moscow State Tech. Univ., Mechan. Eng.], 2009, no. 2, pp. 84–90 (in Russ.).

[3] Feygin M.I. On the theory of acceleration damper. Izvestiya vuzov. Radiofizika, 1961, vol. 4, no. 3, pp. 579–581 (in Russ.).

[4] Peterka F. More detail view on the dynamics of the impact damper. Facta Univ. Ser. Mech. Automat. Control Robot., 2003, vol. 3, no. 14, pp. 907–920.

[5] Dukart A.V. Optimum parameters and efficiency dynamic absorber with viscous friction under periodic exciting load of "rectangular sine" type. Vestnik MGSU [Scientific and Engineering Journal for Construction and Architecture], 2009, no. 4, pp. 92–100 (in Russ.).

[6] Dukart A.V., Fam V.N. On efficiency of dynamic absorber with viscous friction under periodic impulses of finite duration. Izvestiya vuzov. Stroitelstvo [News of Higher Educational Institutions. Construction], 2012, no. 11-12, pp. 3–10 (in Russ.).

[7] Babitskiy V.I. Teoriya vibroudarnykh sistem (priblizhennye metody) [Theory of vibratory percussion systems (approximate methods)]. Moscow, Nauka Publ., 1978.

[8] Babitskiy V.I., Kolovskiy M.Z. K dinamike sistem s udarnym vibrogasitelem [On the dynamic of systems with impact damper]. Mashinovedenie, 1970, no. 2, pp. 16–24 (in Russ.).

[9] Zevin A.A., Kuznetsova T.I., Ulanova N.P. On calculation of vibratory percussion systems. Dinamika i prochnost tyazhelykh mashin, 1980, no. 5, pp. 23–28 (in Russ.).

[10] Gulyaev V.I., Bazhenov V.A., Popov S.L. Prikladnye zadachi teorii nelineynykh kolebaniy mekhanicheskikh sistem [Applied problems of nonlinear oscillation theory of mechanic systems]. Moscow, Vysshaya shkola Publ., 1989.

[11] Dukart A.V. Zadachi teorii udarnykh gasiteley kolebaniy [Problems of impact damper oscillations]. Moscow, Izd-vo ASV, 2006.

[12] Nikitin N.N. Kurs teoreticheskoy mekhaniki [Course of nonlinear mechanics]. Moscow, Vysshaya shkola Publ., 2003.

[13] Panovko Ya.G. Osnovy prikladnoy teorii kolebaniy i udara [Fundamentals of applied theory of oscillation and impact]. Leningrad, Mashinostroenie Publ., 1976.

[14] Bibikov Yu.N. Kurs obyknovennykh differentsialnykh uravneniy [Course of ordinary differential equations]. Moscow, Vysshaya shkola Publ., 1991.