A novel predictor-corrector explicit integration scheme for structural dynamics

被引:5
|
作者
Liu, Wei [1 ]
Guo, Wenhua [2 ]
机构
[1] Hunan Inst Sci & Technol, Sch Civil Engn, Yueyang 414006, Peoples R China
[2] Cent South Univ, Sch Civil Engn, Changsha 410075, Peoples R China
基金
中国国家自然科学基金;
关键词
Explicit time integration; Desirable numerical dissipation; Small numerical errors; Linear structural dynamics; Nonlinear structural dynamics; IMPROVED NUMERICAL DISSIPATION; ALGORITHM;
D O I
10.1016/j.istruc.2021.08.129
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
A novel predictor-corrector explicit scheme is presented to solve structural dynamic problems. It is a three sub-steps method, in which the previous two sub-steps are set as predictors and the last sub-step is regarded as correctors. The explicit scheme is third-order accuracy and can achieve forth-order accuracy in the absent of physical damping. The stability limit of the proposed scheme is much larger than the existing methods. Also, the numerical dissipation and dispersion of the explicit scheme can be controlled through the different algorithm parameters. The explicit scheme not only possesses adequate numerical dissipation and dispersion in high-frequency responses, but also gets small numerical errors in the whole frequency domain for dynamic system. These performances of the proposed explicit scheme are further highlighted in comparison with other typical explicit schemes.
引用
收藏
页码:2735 / 2745
页数:11
相关论文
共 50 条
  • [41] STABILITY OF PREDICTOR-CORRECTOR METHODS
    HALL, G
    [J]. COMPUTER JOURNAL, 1967, 9 (04): : 410 - &
  • [42] Validated predictor-corrector methods
    Rihm, R
    [J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2000, 80 : S825 - S826
  • [43] Implicit-explicit predictor-corrector schemes for nonlinear parabolic differential equations
    Li, Dongfang
    Zhang, Chengjian
    Wang, Wansheng
    Zhang, Yangjing
    [J]. APPLIED MATHEMATICAL MODELLING, 2011, 35 (06) : 2711 - 2722
  • [44] A non-overlapping implicit predictor-corrector scheme for parabolic equations
    Daoud, DS
    Khaliq, AQM
    Wade, BA
    [J]. PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON PARALLEL AND DISTRIBUTED PROCESSING TECHNIQUES AND APPLICATIONS, VOLS I-V, 2000, : 15 - 19
  • [45] A PREDICTOR-CORRECTOR SCHEME FOR THE MICROSCOPIC DEPLETION SOLVER OF THE COCAGNE CORE CODE
    Hoareau, Fabrice
    Schwartz, Nadine
    Couyras, David
    [J]. PROCEEDINGS OF THE 18TH INTERNATIONAL CONFERENCE ON NUCLEAR ENGINEERING 2010, VOL 2, 2011, : 1 - 8
  • [46] PRACTICAL COMPARISON OF RUNGA-KUTTA AND PREDICTOR-CORRECTOR INTEGRATION METHODS
    DISTASIO, M
    MCHARRIS, WC
    [J]. BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1980, 25 (07): : 745 - 745
  • [47] The force of constraint in predictor-corrector algorithms for shake constraint dynamics
    Brown, D
    [J]. MOLECULAR SIMULATION, 1996, 18 (06) : 339 - 348
  • [48] THE PREDICTOR-CORRECTOR METHOD FOR SOLVING PROBLEMS OF GAS-DYNAMICS
    KARAMYSHEV, VB
    KOVENYA, VM
    [J]. USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1988, 28 (06): : 188 - 194
  • [49] A new predictor-corrector approach for the numerical integration of coupled electromechanical equations
    Tripodi, E.
    Musolino, A.
    Rizzo, R.
    Raugi, M.
    [J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2016, 105 (04) : 261 - 285
  • [50] A Predictor-Corrector Compact Difference Scheme for a Nonlinear Fractional Differential Equation
    Jiang, Xiaoxuan
    Wang, Jiawei
    Wang, Wan
    Zhang, Haixiang
    [J]. FRACTAL AND FRACTIONAL, 2023, 7 (07)