On the basis of the results of numerical analysis, it is shown that the introduction of a force of contact interaction varying according to the Hertz law to the equation of motion makes it possible to model impacts between colliding bodies both under harmonic and stochastic external loads. This enables us to deduce the law of motion of the bodies in a vibroimpact system for the entire time axis, including the period of impact. We perform the numerical optimization of the parameters of the vibroimpact system by the method of gradient projection with correction of the discrepancy in constraints. The comparative analysis of the efficiency of the dynamic nonimpact dampers and shock absorbers of vibrations is presented.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
V. I. Babitskii, Theory of Vibroimpact Systems: Approximate Methods [in Russian], Nauka, Moscow (1972).
A. P. Ivanov, Dynamics of Systems with Mechanical Collisions [in Russian], Mezhdunarod. Progr. Obraz., Moscow (1997).
V. I. Gulyaev, V. A. Bazhenov, and V. L. Koshkin, Optimization Methods in Structural Mechanics [in Russian], Naukova Dumka, Kiev (1988).
W. Goldsmith, Impact. The Theory and Physical Behavior of Colliding Solids, Edward Arnold Publ., London (1960).
K. Johnson, Contact Mechanics, Cambridge University Press, New York (1985).
V. V. Bolotin, Random Vibrations of Elastic Systems [in Russian], Nauka, Moscow (1979).
M. F. Dimentberg, Nonlinear Stochastic Problems of Mechanical Oscillations [in Russian], Nauka, Moscow (1980).
S. M. Goncharenko, O. S. Pogorelova, and T. G. Postnikova, “Simulation of the dynamic motion of vibroimpact systems by using the forces of contact interaction,” Vibrats. Tekh. Tekhnol., No. 2, 20–27 (2006).
E. S. Degtyaruk, O. S. Pogorelova, T. G. Postnikova, and S. M. Goncharenko, “Analysis of steady-state vibroimpact processes in elastic systems under the action of internal impact contact,” in: Strength of Materials and Theory of Building [in Russian], Issue 73, Kiev (1972), pp. 38–41.
B. G. Korenev, A. A. Zevin, and L. M. Reznikov, “Comparative analysis of the efficiency of dynamic vibration and shock absorbers,” Stroit. Mekh. Racch. Sooruzh., No. 3, 38–41 (1972).
Author information
Authors and Affiliations
Additional information
Translated from Problemy Prochnosti, No. 6, pp. 82–90, November–December, 2008.
Rights and permissions
About this article
Cite this article
Bazhenov, V.A., Pogorelova, O.S., Postnikova, T.G. et al. Numerical investigations of the dynamic processes in vibroimpact systems in modeling impacts by a force of contact interaction. Strength Mater 40, 656–662 (2008). https://doi.org/10.1007/s11223-008-9080-5
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11223-008-9080-5