Parameter estimation for the generalized fractional element network Zener model based on the Bayesian method

被引：49

作者：

Fan, Wenping ^{[1
]}

Jiang, Xiaoyun ^{[1
]}

Qi, Haitao ^{[2
]}

机构：

[1] Shandong Univ, Sch Math, Jinan 250100, Peoples R China

[2] Shandong Univ Weihai, Sch Math & Stat, Weihai 264209, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2015年 / 427卷

基金：

中国国家自然科学基金;

关键词：

Fractional constitutive equation; Viscoelasticity; Parameter estimation; Bayesian method; MAXWELL MODEL; STRESS-RELAXATION; KELVIN-VOIGT; EQUATION; FLUID; ORDER; FLOW;

D O I：

10.1016/j.physa.2015.02.037

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the present study, an inverse problem to estimate parameters in the Zener model of viscoelasticity based on the generalized fractional element (GFE) network is studied. The Bayesian method is proposed to obtain the optimal estimation of the viscoelastic parameters. Three examples are performed to certify the validity of the method. All numerical results lead to an excellent fitting between the calculative results and experimental data. It is shown that the Bayesian method is feasible in the inverse problem of parameter estimation for the fractional constitutive equation, and the GFE network Zener model is efficient in the modeling of the viscoelastic behavior. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：40 / 49

页数：10

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