Control of damping oscillations by fractional differential operator with time-dependent order

被引：95
|
作者：
Ingman, D [1 ]
Suzdalnitsky, J [1 ]
机构：
[1] Technion Israel Inst Technol, QAR, IL-32000 Haifa, Israel
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2004年 / 193卷 / 52期
关键词：
eigenfrequency; fractional calculus; numerical methods; vibration; viscoelasticity;
D O I：
10.1016/j.cma.2004.06.029
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The aim of the present paper is application of a differential operator of variable order in constitutive relations for viscoelastic materials. This operator is used for studying the vibrations of a one-degree-of-freedom oscillator, in which the viscoelastic deformation is governed by a servo order function. A method for numerical determination of the eigen-frequency of the fractional differential equation is proposed. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码：5585 / 5595
页数：11
相关论文
共 50 条
  • [11] Sixth-order factorization of the evolution operator for time-dependent potentials
    Goldstein, G
    Baye, D
    PHYSICAL REVIEW E, 2004, 70 (05):
  • [12] A STOCHASTIC DIFFERENTIAL-EQUATION WITH TIME-DEPENDENT AND UNBOUNDED OPERATOR COEFFICIENTS
    BHAT, BVR
    SINHA, KB
    JOURNAL OF FUNCTIONAL ANALYSIS, 1993, 114 (01) : 12 - 31
  • [13] ON THE CYCLIC CONTROL OSCILLATIONS OF ARBITRARY TIME-DEPENDENT REACTIVITY VARIATION
    LAN, JS
    DUNCAN, DL
    OMBERG, RP
    TRANSACTIONS OF THE AMERICAN NUCLEAR SOCIETY, 1984, 47 : 440 - 441
  • [14] Numerical Solution of Time-Dependent Problems with a Fractional-Power Elliptic Operator
    P. N. Vabishchevich
    Computational Mathematics and Mathematical Physics, 2018, 58 : 394 - 409
  • [15] Numerical Solution of Time-Dependent Problems with a Fractional-Power Elliptic Operator
    Vabishchevich, P. N.
    COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2018, 58 (03) : 394 - 409
  • [16] Second-order imaginary differential operator for effective absorption in the numerical solution of the time-dependent Schrodinger equation
    Silaev, A. A.
    Romanov, A. A.
    V. Silaeva, M.
    V. vedenskii, N.
    PHYSICAL REVIEW A, 2023, 108 (01)
  • [17] Simultaneous inversion of time-dependent source term and fractional order for a time-fractional diffusion equation
    Ruan, Zhousheng
    Zhang, Sen
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 368
  • [18] Fractional order study of magnetohydrodynamical time-dependent flow of Prandtl fluid
    Usman, Muhammad
    Hamid, Muhammad
    Hussien, Mohamed
    Hassan, Ahmed M.
    Lu, Dianchen
    CASE STUDIES IN THERMAL ENGINEERING, 2024, 53
  • [19] The Backward Problem for Nonlinear Fractional Diffusion Equation with Time-Dependent Order
    Nguyen Minh Dien
    Dang Duc Trong
    Bulletin of the Malaysian Mathematical Sciences Society, 2021, 44 : 3345 - 3359
  • [20] Time-dependent fracture of concrete using fractional order rate laws
    Barpi, F
    Valente, S
    FRACTURE MECHANICS OF CONCRETE STRUCTURES, VOLS 1 AND 2, 2001, : 153 - 159
12345