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STATIONARY VIBRATIONS OF A SYSTEM WITH AN IMPACT ABSORBER SUBJECTED TO PERIODIC IMPULSES OF FINITE DURATION

Vestnik MGSU 4/2012
  • Dukart Adam Vilebal'dovich - Moscow State University of Civil Engineering (MSUCE) Professor, Doctor of Technical Sciences, Department of Structural Mechanics, Moscow State University of Civil Engineering (MSUCE), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Thanh Binh Pham - Moscow State University of Civil Engineering (MSUCE) graduate student, Department of Structural Mechanics, Moscow State University of Civil Engineering (MSUCE), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 44 - 50

Impulsive loadings, or repetitive brief impacts, produced by machines and mechanisms of the shock action, are widely spread in the engineering practice. In many cases, trustworthy results of their dynamic analyses can be obtained by taking account of the shape and duration of their impulses.
In the paper, the periodic mode of the system motion and the parameters of the impact absorber applicable to one-sided periodic impulses of rectangular form are examined. The structure to be protected and the absorber are simulated as a system of a single collision of masses. The impacts are accepted to be instantaneous and taken into account by means of the coefficient of restitution. The damping properties of the protected structure and the absorber are considered on the basis of the viscid friction hypothesis; therefore, the damping properties of the whole system are disproportionate.
The relations identified in the course of the research are used to find the impulse frequency characteristics (IFC) of the protected structure to identify the absorber parameters. The affect of duration of external impulses produced onto the IFC, characterized by the drastic increase in the amplitudes as compared to that in the case of a single impulse of the same magnitude, is the subject of research. It is proven that the maximal ordinates of IFC decrease slightly against the increase in the duration of external impulses; therefore, the efficiency of the impact absorber changes insignificantly, and it is equivalent to that of a dynamic absorber. It is noteworthy that if the duration of external impulses is under 10 % of the duration of the period, they may be replaced by instantaneous impulses.

DOI: 10.22227/1997-0935.2012.4.44 - 50

References
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  3. Sorokin E.S. Osnovnye predposylki rascheta sooruzheniy na impul'sivnye nagruzki [Main Preconditions for Calculation of Structures Exposed to Impulsive Loads]. Voprosy prikladnoy mekhaniki [Problems of Applied Mechanics]. Moscow, Stroyizdat Publ., 1968, no. 260, pp. 5—37.
  4. Goldsmith V. Udar. Teoriya i fizicheskie svoystva soudaryaemykh tel [Impact. Theory and Physical Properties of Colliding Bodies]. Moscow, Stroyizdat Publ., 1965.
  5. Dukart A.V. K opredeleniyu ustanovivshikhsya kolebaniy sistemy s dvumya stepenyami svobody pri deystvii periodicheskikh impul'sov konechnoy prodolzhitel'nosti [About the Identification of Stationary Vibrations of a System That Has Two Levels of Freedom Exposed to Periodic Impulses of Finite Duration]. Izvestiya vuzov. Stroitel'stvo. [News of Higher Educational Institutions. Construction]. 2012, no. 1, pp. 3—13.

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