Dynamical investigation of a superfinishing device
DOI:
https://doi.org/10.32972/dms.2012.019Keywords:
superfinishing, dynamical, nonlinear vibration, power characteristicsAbstract
This article concerns some dynamical aspects of the design process of a vibrational superfinishing device. As the first approximation, a linear dynamical model is applied, which is then replaced by an improved nonlinear one. The Coulomb-type damping, which is supposed to be the model of the superfinishing process, is considered to be the nonlinearity. The approximation solutions of the nonlinear governing equations are established by the method of linearization above the phase curve, thus the amplitude-frequency expressions and the expressions of the power characteristics in function of the system parameters can be set up. The optimal operation conditions have been established by revealing the extremums of these expressions. The results obtained analytically, have been proven and supported numerically.
References
Harris–Crede: Shock and vibration handbook. McGraw-Hill Co. Inc., 1956.
A. Heck: Bevezetés a Maple használatába. Juhász Gyula Felsőoktatási Kiadó, Zenon Kft., Szeged, 1999.
J. D. W.ordan–P. Smith: Nonlinear ordinary differential equations. Oxford University Press,1999.
J. L. Meriam–L. G. Kraige– B. D. Harper: Dynamics – Solving dynamics problems in Maple. John Wiley & Sons, Inc., 2007.
A. H. Nayfeh–D.T. Mook: Nonlinear oscillations. John Wiley & Sons, Inc. 1995.
J. M. T Thompson–H. B. Stewart: Nonlinear dynamics and chaos. John Wiley & Sons, 2001.
Gy. Patkó: Dinamikai eredmények és alkalmazások a gépészetben. A Miskolci Egyetem Habilitációs Füzetei, Miskolc, 1998.
Gy. Patkó: Közelítő módszer nemlineáris rezgések vizsgálatára. Kandidátusi értekezés, Miskolc, 1984.
