Updated semi‐discretization method for periodic delay‐differential equations with discrete delay 论文

详细信息

发表期刊/会议

International Journal for Numerical Methods in Engineering

发表日期

2004-07-21

发表年份

2004

摘要

Abstract An updated version of the semi‐discretization method is presented for periodic systems with a single discrete time delay. The delayed term is approximated as a weighted sum of two neighbouring discrete delayed state values and the transition matrix over a single period is determined. Stability charts are constructed for the damped and delayed Mathieu equation for different time‐period/time‐delay ratios. The convergence of the method is investigated by examples. Stability charts are constructed for 1 and 2 degree of freedom milling models. The codes of the algorithm are also attached in the appendix. Copyright © 2004 John Wiley & Sons, Ltd.