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
  • [41] An efficient time-integration method for nonlinear dynamic analysis of solids and structures
    LIU TianYun
    LI QingBin
    ZHAO ChongBin
    Science China(Physics,Mechanics & Astronomy), 2013, (04) : 798 - 804
  • [42] An efficient time-integration method for nonlinear dynamic analysis of solids and structures
    Liu TianYun
    Li QingBin
    Zhao ChongBin
    SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY, 2013, 56 (04) : 798 - 804
  • [43] DYNAMIC ANALYSIS OF NONLINEAR STRUCTURES BY PSEUDO-NORMAL MODE SUPERPOSITION METHOD
    KUKRETI, AR
    ISSA, HI
    COMPUTERS & STRUCTURES, 1984, 19 (04) : 653 - 663
  • [44] Application of the Local Fractional Series Expansion Method and the Variational Iteration Method to the Helmholtz Equation Involving Local Fractional Derivative Operators
    Yang, Ai-Min
    Chen, Zeng-Shun
    Srivastava, H. M.
    Yang, Xiao-Jun
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [45] New structures for exact solution of nonlinear fractional Sharma-Tasso-Olver equation by conformable fractional derivative
    Butt, Asma Rashid
    Zaka, Jaweria
    Akgul, Ali
    El Din, Sayed M.
    RESULTS IN PHYSICS, 2023, 50
  • [46] New structures for exact solution of nonlinear fractional Sharma-Tasso-Olever equation by conformable fractional derivative
    Butt, Asma Rashid
    Zaka, Jaweria
    Akgul, Ali
    El Din, Sayed M.
    RESULTS IN PHYSICS, 2023, 50
  • [47] Soliton structures to some time-fractional nonlinear differential equations with conformable derivative
    Inc, Mustafa
    Yusuf, Abdullahi
    Aliyu, Aliyu Isa
    Baleanu, Dumitru
    OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (01)
  • [48] Structures of exact solutions for the modified nonlinear Schrodinger equation in the sense of conformable fractional derivative
    Ozkan, Yesim Saglam
    Yilmaz, Esra Unal
    MATHEMATICAL SCIENCES, 2023, 17 (02) : 203 - 218
  • [49] ANALYSIS OF NONLINEAR FRACTIONAL DIFFUSION EQUATIONS WITH A RIEMANN-LIOUVILLE DERIVATIVE
    Ngoc, Tran bao
    Tuan, Nguyen Huy
    Sakthivel, R.
    O'Regan, Donal
    EVOLUTION EQUATIONS AND CONTROL THEORY, 2022, 11 (02): : 439 - 455
  • [50] Nonlinear dynamic analysis by Dynamic Relaxation method
    Rezaiee-Pajand, M.
    Alamatian, J.
    STRUCTURAL ENGINEERING AND MECHANICS, 2008, 28 (05) : 549 - 570