FINDING PERIODIC SOLUTIONS OF FORCED SYSTEMS WITH LOCAL NONLINEARITIES: A MIXED SHOOTING HARMONIC BALANCE METHOD

被引:0
|
作者
Schreyer, Frederic [1 ]
Leine, Remco [1 ]
机构
[1] Univ Stuttgart, Inst Nonlinear Mech, D-70569 Stuttgart, Germany
关键词
D O I
暂无
中图分类号
Q6 [生物物理学];
学科分类号
071011 ;
摘要
Several numerical approaches have been developed to capture nonlinear effects of dynamical systems. In this paper we present a mixed shooting-harmonic balance method to solve large mechanical systems with local nonlinearities efficiently. The Harmonic Balance Method as well as the shooting method have both their pros and cons. The proposed mixed shooting-HBM approach combines the efficiency of HBM and the accuracy of the shooting method and has therefore advantages of both.
引用
收藏
页数:5
相关论文
共 50 条
  • [1] A MIXED SHOOTING - HARMONIC BALANCE METHOD FOR UNILATERALLY CONSTRAINED MECHANICAL SYSTEMS
    Schreyer, Frederic
    Leine, Remco I.
    ARCHIVE OF MECHANICAL ENGINEERING, 2016, 63 (02) : 297 - 314
  • [2] Almost Periodic Solutions by the Harmonic Balance Method
    Ji-feng CHU
    Zuo-huan ZHENG
    Zhe ZHOU
    ActaMathematicaeApplicataeSinica, 2022, 38 (04) : 943 - 954
  • [3] Almost Periodic Solutions by the Harmonic Balance Method
    Chu, Ji-feng
    Zheng, Zuo-huan
    Zhou, Zhe
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2022, 38 (04): : 943 - 954
  • [4] Almost Periodic Solutions by the Harmonic Balance Method
    Ji-feng Chu
    Zuo-huan Zheng
    Zhe Zhou
    Acta Mathematicae Applicatae Sinica, English Series, 2022, 38 : 943 - 954
  • [5] ODD HARMONIC PERIODIC-SOLUTIONS OF SYSTEMS WITH ODD NONLINEARITIES
    SKAR, SJ
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1985, 32 (12): : 1281 - 1285
  • [6] Consideration of local stiffening and clearance nonlinearities in coupled systems using a generalized Harmonic Balance Method
    Peter, S.
    Schreyer, F.
    Reuss, P.
    Gaul, L.
    PROCEEDINGS OF INTERNATIONAL CONFERENCE ON NOISE AND VIBRATION ENGINEERING (ISMA2014) AND INTERNATIONAL CONFERENCE ON UNCERTAINTY IN STRUCTURAL DYNAMICS (USD2014), 2014, : 3097 - 3110
  • [7] Optimized shooting method for finding periodic orbits of nonlinear dynamical systems
    Dednam, W.
    Botha, A. E.
    ENGINEERING WITH COMPUTERS, 2015, 31 (04) : 749 - 762
  • [8] Optimized shooting method for finding periodic orbits of nonlinear dynamical systems
    W. Dednam
    A. E. Botha
    Engineering with Computers, 2015, 31 : 749 - 762
  • [9] PERIODIC FORCED VIBRATION OF UNSYMMETRICAL PIECEWISE-LINEAR SYSTEMS BY INCREMENTAL HARMONIC-BALANCE METHOD
    WONG, CW
    ZHANG, WS
    LAU, SL
    JOURNAL OF SOUND AND VIBRATION, 1991, 149 (01) : 91 - 105
  • [10] RESONANT FORCED OSCILLATIONS IN SYSTEMS WITH PERIODIC NONLINEARITIES
    Krasnosel'skii, Alexander
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2013, 33 (01) : 239 - 254