非線形分数階微分方程式のための数値積分アルゴリズム  [in Japanese] Numerical Integration Algorithm for Nonlinear Fractional Differential Equation  [in Japanese]

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Author(s)

Abstract

A numerical algorithm to solve a nonlinear fractional differential equation (NFDE) which includes the fractional derivative of the first and the second power or displacement is developed. These displacements are related to the linear and the nonlinear dynamical viscoelastic behavior. Derivation of the numerical integration algorithm by the use of one-step scheme of Newmark-βmethod, error evaluation and some important parameter studies for a typical numerical model are given. The characteristics of the linear and the nonlinear fractional derivative responses for ramp input, and of the nonlinear viscoelastic responses of the NFDE for sinusoidal input are investigated. From the study, the developed numerical algorithm is validated to solve the NFDE.

Journal

  • Transactions of the Japan Society of Mechanical Engineers C

    Transactions of the Japan Society of Mechanical Engineers C 72(722), 3193-3200, 2006-10-25

    The Japan Society of Mechanical Engineers

References:  21

Codes

  • NII Article ID (NAID)
    110004837608
  • NII NACSIS-CAT ID (NCID)
    AN00187463
  • Text Lang
    JPN
  • Article Type
    ART
  • ISSN
    03875024
  • NDL Article ID
    8556139
  • NDL Source Classification
    ZN11(科学技術--機械工学・工業)
  • NDL Call No.
    Z16-1056
  • Data Source
    CJP  NDL  NII-ELS 
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