Sufficient conditions for the stability of single and multiple regenerative chatter

Chaos, Solitons and Fractals

Volumn 14, Issue 2, 2002, Pages 335-347

  Fofana, M S ^a  

^a Worcester Polytechnic Institute   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); LYAPUNOV METHODS; ORDINARY DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; SYSTEM STABILITY;

DELAY DIFFERENTIAL EQUATIONS (DDE); REGENERATIVE CHATTER;

MACHINING;

EID: 0036680922     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(01)00236-3     Document Type: Article

References (30)

1. Vibrations of a forced self-excited system with time lag
2. Small delays don't matter
3. A theory of nonlinear regenerative chatter
4. A nonlinear dynamic model of cutting
5. Nonlinear regenerative machine tool vibrations
6. Perturbation methods in nonlinear dynamics - Applications to machining dynamics
7. Predictive modeling of nonlinear regenerative chatter via measurement, analysis and simulation
8. On the dynamic stability of nonlinear chatter machining
9. On the doubly nonlinear stability of regenerative chatter grinding
10. On the numerical solutions of nonlinear machine-tool chatter with multiple delays
11. The neighbourhood of a singular point of functional differential equations
12. Stochastic functional differential equations
13. Lyapunov exponents and stationary solutions for a stochastic delay equations
14. A multiplicative ergodic theorem: Lyapunov characteristic numbers for dynamical systems
15. On stochastic processes defined by differential equations with small parameter
16. Self-excited chatter and its mark in turning
17. Behaviour of self-excited chatter due to multiple regenerative effect
18. Short time acceptance test for machine tools based on the random nature of the cutting forces
19. Stability of random vibrations with special reference to machine tool chatter
20. Dynamic generation of machined surfaces part 1: Description of a random excitation system