Semi-discretization method for delayed systems

被引：565
|
作者：
Insperger, T [1 ]
Stépán, G [1 ]
机构：
[1] Budapest Univ Technol & Econ, Dept Appl Mech, H-1521 Budapest, Hungary
来源：
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2002年 / 55卷 / 05期
关键词：
time delay; periodic system; Floquet theory; linear stability;
D O I：
10.1002/nme.505
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The paper presents an efficient numerical method for the stability analysis of linear delayed systems. The method is based on a special kind of discretization technique with respect to the past effect only. The resulting approximate system is delayed and also time periodic, but still, it can be transformed analytically into a high-dimensional linear discrete system. The method is applied to determine the stability charts of the Mathieu equation with continuous time delay. Copyright (C) 2002 John Wiley Sons, Ltd.
引用
收藏
页码：503 / 518
页数：16
相关论文
共 50 条
  • [21] Stability analysis in turning with variable spindle speed based on the reconstructed semi-discretization method
    Dong, Xinfeng
    Shen, Xinhang
    Fu, Zhifang
    INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY, 2021, 117 (11-12): : 3393 - 3403
  • [22] Identification of the pollution source by using a semi-discretization approach
    Zhang, Wen
    Wang, Ze-wen
    Liu, Tang-wei
    ADVANCES IN ENVIRONMENTAL ENGINEERING, 2012, 599 : 348 - 353
  • [23] SECOND ORDER SEMI-DISCRETIZATION FOR UNSTEADY STOKES FLOW
    Varnhorn, W.
    TOPICAL PROBLEMS OF FLUID MECHANICS 2024, 2024, : 240 - 247
  • [24] Stability predictions of milling with variable spindle speed using an improved semi-discretization method
    Xie, Qizhi
    Zhang, Qichang
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2012, 85 : 78 - 89
  • [25] Updated semi-discretization method for periodic delay-differential equations with discrete delay
    Insperger, T
    Stépán, G
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2004, 61 (01) : 117 - 141
  • [26] Stability prediction for milling process with multiple delays using an improved semi-discretization method
    Jin, Gang
    Qi, Houjun
    Cai, Yujun
    Zhang, Qichang
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (04) : 949 - 958
  • [27] Stability analysis of a thin-walled cylinder in turning operation using the semi-discretization method
    Arnab Chanda
    Achim Fischer
    Peter Eberhard
    Santosha Kumar Dwivedy
    Acta Mechanica Sinica, 2014, 30 : 214 - 222
  • [28] Stability analysis of a thin-walled cylinder in turning operation using the semi-discretization method
    Chanda, Arnab
    Fischer, Achim
    Eberhard, Peter
    Dwivedy, Santosha Kumar
    ACTA MECHANICA SINICA, 2014, 30 (02) : 214 - 222
  • [29] Entropy Dissipation Semi-Discretization Schemes for Fokker–Planck Equations
    Shui-Nee Chow
    Luca Dieci
    Wuchen Li
    Haomin Zhou
    Journal of Dynamics and Differential Equations, 2019, 31 : 765 - 792
  • [30] Localized solutions for the finite difference semi-discretization of the wave equation
    Marica, Aurora
    Zuazua, Enrique
    COMPTES RENDUS MATHEMATIQUE, 2010, 348 (11-12) : 647 - 652
12345