Nonlinear Transverse Vibration Induced by Fluid Disturbance on BTA Deep Hole Precision Reaming System

doi:10.3901/JME.2020.17.155

Abstract

Abstract: In order to promote the machining precision of the inner hole in super-critical turbine rotor with super length-diameter ratio, the transverse vibration on BTA deep-hole precision reaming bar (cutter shaft) is studied. Based on the established nonlinear transverse vibration model for the deep-hole reaming system, where the oscillation is mainly induced by the fluid disturbance, the chaos of the systematic nonlinear transverse vibration induced by fluid disturbance is analyzed with Melnikov method; by way of the cell mapping theory, under multiple initial values, it is studied for the effects of the fluid disturbance on the manifold deformation of the attractor and attraction domain in the safe basin domain in the BTA deep-hole reaming system, and it is demonstrated for the motion characteristic of the attractor in system. Combined with the bifurcation, maximum Lyapunov exponent, as well as the bifurcation on double parameters plane, it is analyzed for the nonlinear dynamic behavior of the BTA deep hole reaming system which is varied with kinds of parameters. In addition, through the analysis of the bifurcation of bi-parameter plane, the nonlinear dynamic behavior in the system is discussed at the variation of the bi-parameter, and the evolvement mechanism of the nonlinear dynamic behaviors is revealed at the variation both of single and double parameters in the BTA system. At last, the chaos parameters is analyzed for the systematic transverse vibration and the parameters domain in the system is obtained for both the chaos motion on bi-parameter plane and stable periodic motion. The results would provide some useful theoretical guide for the practice in BTA deep hole reaming.

Key words: deep-hole reaming system, transverse vibration, bifurcation, attractor, maximum Lyapunov exponent, double parameter bifurcation

CLC Number:

TH161
TH113

ZHAO Wu, HUO Boyi, HUANG Dan. Nonlinear Transverse Vibration Induced by Fluid Disturbance on BTA Deep Hole Precision Reaming System[J]. Journal of Mechanical Engineering, 2020, 56(17): 155-164.

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