DYNAMICS OF A FRACTIONAL DERIVATIVE TYPE OF A VISCOELASTIC ROD WITH RANDOM EXCITATION

被引：4
|
作者：
Atanackovic, Teodor [1 ]
Nedeljkov, Marko [2 ]
Pilipovic, Stevan [2 ]
Rajter-Ciric, Danijela [2 ]
机构：
[1] Univ Novi Sad, Inst Mech, Novi Sad 21000, Serbia
[2] Univ Novi Sad, Dept Math & Informat, Novi Sad 21000, Serbia
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2015年 / 18卷 / 05期
关键词：
viscoelasticity; fractional derivative distributed order; random excitation; EQUATIONS; MODEL;
D O I：
10.1515/fca-2015-0071
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The axial vibrations of a viscoelastic rod with a body attached to its end are investigated. The problem is modelled by the constitutive equations with fractional derivatives as well as with the perturbations involving a bounded noise and a white noise process. The weak solutions for the equations given below in two cases of constitutive equations as well as their stochastic moments are determined.
引用
收藏
页码：1232 / 1251
页数：20
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