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.
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页码：5585 / 5595
页数：11
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