Analytical Stability Analysis of Variable Spindle Speed Machining

Author:

Jayaram S.1,Kapoor S. G.1,DeVor R. E.1

Affiliation:

1. Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801

Abstract

A new analytical model to predict the chatter stability of variable spindle speed machining is presented. This model is based on transforming the linear differential equations with time varying delay to the solution of an infinite order characteristic equation. The model has been validated using the results of numerical time domain simulations and through experimentation. The analytical model employs normalized parameters which permits its use in studying the stability of variable spindle speed machining systems with a wide range of parameters without having to solve the complex system of differential equations. The analytical model is also used to design optimal variable spindle speed machining parameters in the presence of known fixed or varying machining dynamics. [S1087-1357(00)01402-7]

Publisher

ASME International

Subject

Industrial and Manufacturing Engineering,Computer Science Applications,Mechanical Engineering,Control and Systems Engineering

Reference17 articles.

1. Tlusty, J. , 1984, “Dynamics of High Speed Milling,” ASME J. Eng. Ind., 12, p. 101101.

2. Tobias, S. A., Machine-Tool Vibrations, Blackall, London, 1965.

3. Lin, S. C., DeVor, R. E., and Kapoor, S. G., 1990, “The Effects of Variable Speed Cutting on Vibration Control in Face Milling,” ASME J. Eng. Ind., 112, p. 11.

4. Radulescu, R., Kapoor, S. G., and DeVor, R. E., 1993, “An Investigation of Variable Spindle Speed Face Milling for Tool-Work Structures With Complex Dynamics,” PED: Manuf. Eng. Sci., 64, p. 603603.

5. Sexton, J., and Stone, B., 1978, “The Stability of Machining With Continuously Varying Spindle Speed,” Ann. CIRP, 27, p. 321321.

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