Mathematical modelling of surface vibration with volume constraint and its analysis

被引:8
|
作者
Svadlenka, Karel [1 ]
Omata, Seiro [1 ]
机构
[1] Kanazawa Univ, Grad Sch Nat Sci & Technol, Kanazawa, Ishikawa 9201192, Japan
关键词
Nonlinear hyperbolic equation; Variational method; Discrete Morse flow; Volume constraint;
D O I
10.1016/j.na.2007.09.013
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A hyperbolic problem with volume constraint is investigated by means of a minimizing method called the discrete Morse flow. A weak solution is introduced in a constructive way and results of numerical computations are shown. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码:3202 / 3212
页数:11
相关论文
共 50 条
  • [31] Dynamic modelling of gearbox with multiple localized defects and its coupled vibration analysis
    Yu, Yihao
    Shi, Juanjuan
    Shen, Changqing
    Luo, Yang
    Wang, Tianyang
    Zhu, Zhongkui
    MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2022, 180
  • [32] Dynamic modelling of gearbox with multiple localized defects and its coupled vibration analysis
    Yu, Yihao
    Shi, Juanjuan
    Shen, Changqing
    Luo, Yang
    Wang, Tianyang
    Zhu, Zhongkui
    Mechanical Systems and Signal Processing, 2022, 180
  • [33] Correction to: Torsional wave and vibration subjected to constraint of surface elasticity
    Zaixing Huang
    Acta Mechanica, 2018, 229 : 3571 - 3571
  • [34] The role of a realistic volume constraint in modelling a two dimensional granular assembly
    Chandler, H. W.
    Sands, C. M.
    JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2007, 55 (07) : 1341 - 1356
  • [35] Mathematical modelling of collapse of big volume mountainous landslide masses
    Chanturia, A
    Jgamadze, N
    Skhirtladze, N
    GEOECOLOGY AND COMPUTERS, 2000, : 199 - 202
  • [36] A MATHEMATICAL ANALYSIS OF PULSE VOLUME DETERMINANTS
    JOCHIM, KE
    FEDERATION PROCEEDINGS, 1946, 5 (01) : 52 - 53
  • [37] Mathematical modelling and analysis of parabolic collector
    Haran, V. Hari
    Venkataramaiah, P.
    MATERIALS TODAY-PROCEEDINGS, 2021, 46 : 3308 - 3312
  • [38] Mathematical modelling of nonlinear vibration and fretting wear of the nuclear fuel rods
    Zeman, Vladimir
    Dyk, Stepan
    Hlavac, Zdenek
    ARCHIVE OF APPLIED MECHANICS, 2016, 86 (04) : 657 - 668
  • [39] Mathematical modelling of nonlinear vibration and fretting wear of the nuclear fuel rods
    Vladimír Zeman
    Štěpán Dyk
    Zdeněk Hlaváč
    Archive of Applied Mechanics, 2016, 86 : 657 - 668
  • [40] Interference of Vortex-Induced Vibration and Galloping: Experiments and Mathematical Modelling
    Mannini, Claudio
    Massai, Tommaso
    Marra, Antonino Maria
    Bartoli, Gianni
    X INTERNATIONAL CONFERENCE ON STRUCTURAL DYNAMICS (EURODYN 2017), 2017, 199 : 3133 - 3138