The fractional derivative expansion method in nonlinear dynamic analysis of structures

被引：0
|
作者：
Marina V. Shitikova
机构：
[1] Voronezh State Technical University,Research Center for Wave Dynamics of Solids and Structures
来源：
Nonlinear Dynamics | 2020年 / 99卷
关键词：
Method of multiple time scales; Fractional derivative expansion method; Free nonlinear damped vibrations; Internal resonance; Fractional derivative; Suspension bridge;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The history of formulation of the efficient method for studying the nonlinear dynamic response of structures, damping features of which depend on natural frequencies of vibrations, is presented. This technique is the modified version of the method of multiple scales, the efficiency of which is illustrated by the examples of nonlinear vibrations of suspension bridges and plates subjected to the conditions of the internal resonances.
引用
收藏
页码：109 / 122
页数：13
相关论文
共 50 条
  • [31] Dynamic properties of the multimalware attacks in wireless sensor networks: Fractional derivative analysis of wireless sensor networks
    Tahir, Hassan
    Din, Anwarud
    Shah, Kamal
    Aphane, Maggie
    Abdeljawad, Thabet
    OPEN PHYSICS, 2024, 22 (01):
  • [32] Compact and noncompact structures for nonlinear fractional evolution equations
    Odibat, Zaid M.
    PHYSICS LETTERS A, 2008, 372 (08) : 1219 - 1227
  • [33] A new construction of a fractional derivative mask for image edge analysis based on Riemann-Liouville fractional derivative
    Peter Amoako-Yirenkyi
    Justice Kwame Appati
    Isaac Kwame Dontwi
    Advances in Difference Equations, 2016
  • [34] A new construction of a fractional derivative mask for image edge analysis based on Riemann-Liouville fractional derivative
    Amoako-Yirenkyi, Peter
    Appati, Justice Kwame
    Dontwi, Isaac Kwame
    ADVANCES IN DIFFERENCE EQUATIONS, 2016, : 1 - 23
  • [35] A SURVEY ON FRACTIONAL ASYMPTOTIC EXPANSION METHOD: A FORGOTTEN THEORY
    Sayevand, Khosro
    Tenreiro Machado, Jose A.
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2019, 22 (05) : 1165 - 1176
  • [36] A Survey on Fractional Asymptotic Expansion Method: A Forgotten Theory
    Khosro Sayevand
    José A. Tenreiro Machado
    Fractional Calculus and Applied Analysis, 2019, 22 : 1165 - 1176
  • [37] Dynamic characteristics of saturated fractional derivative viscoelastic soil with a spherical cavity
    Wen Min-jie
    Yang Xiao
    Gao Hua-xi
    ROCK AND SOIL MECHANICS, 2013, 34 (04) : 1001 - 1008
  • [38] Dynamic mechanical properties of agarose gels modeled by a fractional derivative model
    Chen, QS
    Suki, B
    An, KN
    JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME, 2004, 126 (05): : 666 - 671
  • [39] Analysis and some applications of a regularized Ψ-Hilfer fractional derivative
    Jajarmi, Amin
    Baleanu, Dumitru
    Sajjadi, Samaneh Sadat
    Nieto, Juan J.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 415
  • [40] Analysis of implicit differential equations via ψ-fractional derivative
    Harikrishnan, S.
    Elsayed, E. M.
    Kanagarajan, K.
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2020, 23 (07) : 1251 - 1262
12345