Engineering Transactions, 6, 1, pp. 121-141, 1958

Liniowe Tłumienie Nieliniowej Amortyzacji Pojedynczego Impulsu

J. Skowroński

After discussing the design problems of the shock-absorbing system considered, and also physical assumptions and the scope of investigation, a model of the system is established with the corresponding equation of motion. The existing results of qualitative analysis of the case under conpasses to a description of consideration are summarized. Then, the author proximate methods of quantitative analysis for each particular range of damping parameters and elastic characteristic, confining his investigation to alternating motion with elastic characteristic of the rigid type.
The calculations are accompanied by numerical examples. On the basis of approximate equations of phase trajectories, a discussion is entered into on the character of damping and the alternating motion of the shock-absorbing system, depending on various damping parameters and elastic characteristic. A numerical example of such a motion for various values of these parameters is included. Attention is drawn to the necessity of such an analysis for the designer of the shock-absorbing system in every case of design. This is necessary for selecting the optimum values of parameters.

Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).

References

G. Duffin g. Erzwungene Schwingungen bei veränderlichen Eigenfre-guenz, Braunschweig 1918.

R. Gutowski, Free Vibration of a System of One Degree of Freedom. with Non-Linear Elastic Characteristic, Taking Into Consideration Linear Viscous® Damping [Drgania swobodne układu o jednym stopniu swobody z nieliniową charakterystyką sprężystą z uwzglednieniem liniowego tłumienia], Arch. Mech. Stos. 6. (1957).

I. Stocker, Nonlinear Vibrations in Mechanical and Electrical Systems, New York 1950.

Capro Vincenz , Sulle vibrazioni libere di un systema meccanice ad un grado di liberta, Rend. Semin. Mat. Univ. e Politecn, Torino 13 (1954).

S. Ziemba, Graficzne metody wykreślania trajektorii fazowych, Biul. WAT 1957.

[in Russian]