Force driven vibrations of fractionally damped plates subjected to primary and internal resonances

被引：0
|
作者：
Marina V. Shitikova
Vladimir Kandu
机构：
[1] Voronezh State Technical University,Research Center on Dynamics of Solids and Structures
来源：
The European Physical Journal Plus | / 134卷
关键词：
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In the present paper, nonlinear force driven vibrations of thin plates in a viscoelastic medium have been studied, when its damping features are described by the fractional derivative Kelvin-Voigt model. The motion of the plate is governed by a set of three coupled nonlinear differential equations subjected to the different conditions of the internal resonance accompanied by the external resonance, resulting in the interaction of three modes corresponding to the mutually orthogonal displacements. Nonlinear sets of resolving equations in terms of amplitudes and phase differences have been obtained. The influence of fractional order viscosity and external vertical harmonic force on the energy exchange mechanism between the coupled modes has been analyzed.
引用
收藏
相关论文
共 33 条
  • [1] Force driven vibrations of fractionally damped plates subjected to primary and internal resonances
    Shitikova, Marina, V
    Kandu, Vladimir
    [J]. EUROPEAN PHYSICAL JOURNAL PLUS, 2019, 134 (09):
  • [2] Internal resonances in nonlinear fractionally damped plates of the Uflyand-Mindlin type
    Shitikova, M., V
    Osipova, E., I
    Rossikhina, E. Y.
    [J]. INTERNATIONAL CONFERENCE ON CONSTRUCTION, ARCHITECTURE AND TECHNOSPHERE SAFETY (ICCATS 2020), 2020, 962
  • [3] Dynamic Response of Fractionally Damped Viscoelastic Plates Subjected to a Moving Point Load
    Praharaj, Rajendra Kumar
    Datta, Nabanita
    Sunny, Mohammed Rabius
    [J]. JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 2020, 142 (04):
  • [4] Vibrations suppression of fractionally damped plates using multiple optimal dynamic vibration absorbers
    Ari, M.
    Faal, R. T.
    Zayernouri, M.
    [J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2020, 97 (04) : 851 - 874
  • [5] DESIGN FOR INTERNAL RESONANCES IN NONLINEAR TRANSVERSE VIBRATIONS OF HYPERELASTIC PLATES
    Tripathi, Astitva
    Bajaj, Anil K.
    [J]. PROCEEDINGS OF THE ASME INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION, 2013, VOL 4B, 2014,
  • [6] Topology optimization and internal resonances in transverse vibrations of hyperelastic plates
    Tripathi, Astitva
    Bajaj, Anil K.
    [J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2016, 81 : 311 - 328
  • [7] Numerical Study of Nonlinear Vibrations of Fractionally Damped Cylindrical Shells Under the Additive Combinational Internal Resonance
    Shitikova, Marina, V
    Ajarmah, Basem
    [J]. NEW TRENDS IN NONLINEAR DYNAMICS, VOL III: PROCEEDINGS OF THE FIRST INTERNATIONAL NONLINEAR DYNAMICS CONFERENCE (NODYCON 2019), 2020, : 285 - 293
  • [8] ON 1:2 INTERNAL RESONANCES IN IN-PLANE VIBRATIONS OF ELECTROSTRICTIVE PLATES
    Tripathi, Astitva
    Bajaj, Anil K.
    [J]. PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, 2014, VOL 7, 2014,
  • [9] A New Approach for Studying Nonlinear Dynamic Response of a Thin Fractionally Damped Cylindrical Shell with Internal Resonances of the Order of ε
    Shitikova, Marina V.
    Rossikhin, Yury A.
    [J]. SHELL AND MEMBRANE THEORIES IN MECHANICS AND BIOLOGY: FROM MACRO- TO NANOSCALE STRUCTURES, 2015, : 301 - 321
  • [10] Interaction of internal and external resonances during force driven vibrations of a nonlinear thin plate embedded into a fractional derivative medium
    Shitikova, Marina V.
    Rossikhin, Yury A.
    Kandu, Vladimir
    [J]. X INTERNATIONAL CONFERENCE ON STRUCTURAL DYNAMICS (EURODYN 2017), 2017, 199 : 832 - 837
1234