Comparison of Analytical and Numerical Simulations for Variable Spindle Speed Turning

Published

November 1, 2003

Author(s)

T Insperger, Timothy J. Burns, T L. Schmitz, G Stepan

Abstract

The turning process with varying spindle speed is investigated. The well-known turning model is presented and the governing delay-differential equation with time varying delay is analyzed. Three different numerical techniques are used to solve the governing equation: (1) direct Euler simulation with linear interpolation of the delayed term, (2) Taylor expansion of the time delay variation combined with Euler integration and (3) semi-discretization method. Stability charts are constructed, and some improvements in the process stability is shown, especially for low spindle speed domain.

Proceedings Title

Proceedings of IMECE '03: 2003 ASME International Mechanical Engineering Congress

Conference Dates

November 16-21, 2003

Conference Location

Washington

Conference Title

ASME International Mechanical Engineering Congress and Exposition

Pub Type

Conferences

Download Paper

Local Download

Keywords

delay-differential equations, machine-tool chatter, semidiscretization, spindle speed variation, vibration control

Citation

Insperger, T. , Burns, T. , Schmitz, T. and Stepan, G. (2003), Comparison of Analytical and Numerical Simulations for Variable Spindle Speed Turning, Proceedings of IMECE '03: 2003 ASME International Mechanical Engineering Congress, Washington, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=50691 (Accessed October 27, 2025)