Stability analysis of doubly regenerative cylindrical grinding process

被引：44

作者：

Liu, Zhaoheng ^{[1
]}

Payre, Guy

机构：

[1] Univ Quebec, Dept Mech Engn, Ecole Technol Super, Montreal, PQ H3C 1K3, Canada

[2] Univ Sherbrooke, Dept Mech Engn, Sherbrooke, PQ J1K 2R1, Canada

来源：

JOURNAL OF SOUND AND VIBRATION | 2007年 / 301卷 / 3-5期

关键词：

DIFFERENTIAL EQUATIONS; CHATTER GROWTH; SYSTEM;

D O I：

10.1016/j.jsv.2006.10.041

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

In this paper, we investigate the stability properties of a cylindrical grinding process. The dynamical model of the process includes two inherent delayed forcing terms, one from workpiece regeneration and the other from grinding wheel regeneration. The prediction of chatter onset is carried out by computing the spectrum of the doubly delayed differential equations for any set of physical and operational parameters. Stability diagrams are plotted in parameter space. The stability behavior obtained from this analysis is verified to be consistent with direct simulation results. A sensitivity analysis approach is also proposed, and can be used to lead an unstable process to a stable state by optimally varying one of the operational parameters. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：950 / 962

页数：13

共 18 条

[1] STABILITY AND BIFURCATIONS OF EQUILIBRIA IN A MULTIPLE-DELAYED DIFFERENTIAL-EQUATION [J].

BELAIR, J ;

CAMPBELL, SA .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1994, 54 (05) :1402-1424

[2]

DAVIES MA, 1998, DYNAMICS CHAOS MANUF, P57

[3] Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL [J].

Engelborghs, K ;

Luzyanina, T ;

Roose, D .

ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 2002, 28 (01) :1-21

[4] Effect of regenerative process on the sample stability of a multiple delay differential equation [J].

Fofana, MS .

CHAOS SOLITONS & FRACTALS, 2002, 14 (02) :301-309

[5]

GOVEKAR E, 2002, CIRP ANN STCG, P267

[6]

HARDWICK BR, 1994, IRON STEEL ENG JUL, P41

[7] Stability analysis of damped SDOF systems with two time delays in state feedback [J].

Hu, HY ;

Wang, ZH .

JOURNAL OF SOUND AND VIBRATION, 1998, 214 (02) :213-225

[8] Stability and oscillations in a time-delayed vehicle system with driver control [J].

Liu, ZH ;

Payre, G ;

Bourassa, P .

NONLINEAR DYNAMICS, 2004, 35 (02) :159-173

[9] COMPUTATION OF EIGENVALUES ASSOCIATED WITH FUNCTIONAL-DIFFERENTIAL EQUATIONS [J].

MANITIUS, A ;

TRAN, H ;

PAYRE, G ;

ROY, R .

SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1987, 8 (03) :222-247

[10] Simulation and experimental research of the grinder's wheelhead dynamics [J].

Orynski, F ;

Pawlowski, W .

JOURNAL OF VIBRATION AND CONTROL, 2004, 10 (06) :915-930

← 1 2 →