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

被引：102

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

页码：5585 / 5595

页数：11

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