An initial value problem arising in mechanics

被引：0

作者：

Teodor M. Atanackovic

Stevan Pilipovic

Dusan Zorica

机构：

[1] University of Novi Sad,Department of Mechanics, Faculty of Technical Sciences

[2] University of Novi Sad,Department of Mathematics, Faculty of Natural Sciences and Mathematics

[3] Serbian Academy of Arts and Sciences,Mathematical Institute

来源：

Archive of Applied Mechanics | 2014年 / 84卷

关键词：

Distributed-order fractional differential equation; Fractional viscoelastic material; Forced oscillations of a body;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study an initial value problem for a system consisting of an integer order and a distributed-order fractional differential equation describing forced oscillations of a body attached to a free end of a light viscoelastic rod. An explicit form of a solution for a class of linear viscoelastic solids is given in terms of a convolution integral. Restrictions on storage and loss moduli following from the second law of thermodynamics play the crucial role in establishing the form of the solution. Some previous results are shown to be special cases of the present analysis.

引用

页码：219 / 233

页数：14

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