Abstract
The paper deals with low-frequency vibration of a vibroprotection system consisting of a heavy ball with an air damper in an inverted-pendulum spherical socket under the action of external harmonic excitation. The ball in the spherical socket rolls without sliding and is a working body of the ball-type absorber of the inverted-pendulum forced oscillation. Dynamic equations for joint motions of the heavy ball and the inverted pendulum are formulated and analyzed. The authors have obtained amplitude-frequency characteristics of the absolute deviation of the inverted pendulum upper point and the relative displacement of the ball in the spherical socket. A new procedure for the determination of setting parameters for a ball-type oscillation absorber is proposed.
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REFERENCES
V. P. Legeza, M. A. Martynenko, and M. I. Bobyr, Ball-Type Absorber of Forced Oscillations of High-Rise Structures [in Ukrainian], Ukrainian Patent No. 52239A, MPK F16F7/10, E04B1/98, Publ. 16 December 2002, Byul. No. 12.
B. G. Korenev and I. M. Rabinovich (Eds.), Dynamic Analysis of Structures under Special Actions. A Handbook for Design Engineer [in Russian], Stroiizdat, Moscow (1981).
O. O. Goroshko and V. P. Legeza, "Numerical analysis of dynamics of a new forced-oscillation absorber," Visn. Kyiv. Univ., Issue 1, 107–11 (2001).
V. P. Legeza, "A plane problem on rolling of a heavy ball in an inverted-pendulum spherical socket," Prikl. Mekh., 37, No. 8, 131–135 (2001).
V. P. Legaza, "Forced oscillations of an inverted pendulum with a heavy ball in its spherical socket under periodic force," Probl. Upravl. Inform., No. 1, 25–33 (2003).
V. P. Legeza, "A heavy ball in an inverted-pendulum spherical socket as a rolling-type absorber of the pendulum forced oscillations," Nauk. Visti NTUU "KPI," No. 6, pp. 76–83 (2002).
J. G. Boruk and L. G. Lobas, "On the motion of a reversible double simple pendulum with tracking force," Int. Appl. Mech., 35, No. 7, 745–750 (1999).
L. G. Lobas and V. G. Khrebet, "Character of motion of oscillating pendulum system at the boundary of the stable region," Int. Appl. Mech., 35, No. 8, 853–859 (1999).
L. G. Lobas, "The dynamics of finite-dimensional system under nonconservative positional forces," Int. Appl. Mech., 37, No. 1, 46–73 (2001).
V. V. Dobronravov, Dynamics of Nonholonomic Systems [in Russian], Vysshaya Shkola, Moscow (1970).
A. I. Lur'e, Analytical Mechanics [in Russian], Fizmatgiz, Moscow (1961).
S. P. Timoshenko, D. H. Young, and W. Weaver, Vibration Problems in Engineering [Russian translation], Mashinostroenie, Moscow (1985).
Ya. G. Panovko, Introduction to the Theory of Mechanical Oscillation [in Russian], Nauka, Moscow (1971).
N. V. Vasilenko, Theory of Oscillation [in Russian], Vyshcha Shkola, Kiev (1992).
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Legeza, V.P. Dynamics of Vibroprotection Systems with a Ball-Type Low-Frequency Oscillation Absorber. Strength of Materials 36, 282–290 (2004). https://doi.org/10.1023/B:STOM.0000035762.69253.3e
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DOI: https://doi.org/10.1023/B:STOM.0000035762.69253.3e