Fractional-order modelling of epoxy resin

被引:15
|
作者
Machado, J. A. Tenreiro [1 ]
Lopes, Antonio M. [2 ]
de Camposinhos, Rui [3 ]
机构
[1] Polytech Porto, Dept Elect Engn, Inst Engn, Porto, Portugal
[2] Univ Porto, Fac Engn, UISPA LAETA INEGI, Porto, Portugal
[3] Polytech Porto, Dept Civil Engn, Inst Engn, Porto, Portugal
关键词
electrical impedance spectroscopy; fractional-order model; epoxy resin; ADHESIVE JOINTS; BONDED JOINTS; IMPEDANCE; INSPECTION; FIBER;
D O I
10.1098/rsta.2019.0292
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
This paper describes epoxy resins by means of electrical impedance spectroscopy (EIS) and the mathematical tool of fractional calculus (FC). Two stages are considered: first, the EIS is used for testing the samples and, second, the measured data are approximated using integer and fractional order models. The FC-based modelling describes the epoxy resins using a small number of parameters that reflect their main characteristics. The EIS data gathered for the epoxies samples are compared with those of different adhesives and sealants by means of a hierarchical clustering algorithm that unravels the relationships between the distinct materials. This article is part of the theme issue 'Advanced materials modelling via fractional calculus: challenges and perspectives'.
引用
收藏
页数:13
相关论文
共 50 条
  • [21] Synchronization of Fractional-Order Hyperchaotic Systems via Fractional-Order Controllers
    Li, Tianzeng
    Wang, Yu
    Yang, Yong
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2014, 2014
  • [22] Fractional-Order Sliding Mode Synchronization for Fractional-Order Chaotic Systems
    Wang, Chenhui
    ADVANCES IN MATHEMATICAL PHYSICS, 2018, 2018
  • [23] Fractional-order inverse filters revisited: Equivalence with fractional-order controllers
    Bertsias, Panagiotis
    Psychalinos, Costas
    Minaei, Shahram
    Yesil, Abdullah
    Elwakil, Ahmed S.
    MICROELECTRONICS JOURNAL, 2023, 131
  • [24] Stabilization of fractional-order unstable delay systems by fractional-order controllers
    Kheirizad, Iraj
    Jalali, Ali Akbar
    Khandani, Khosro
    PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2012, 226 (I9) : 1166 - 1173
  • [25] Fractional-order Legendre functions for solving fractional-order differential equations
    Kazem, S.
    Abbasbandy, S.
    Kumar, Sunil
    APPLIED MATHEMATICAL MODELLING, 2013, 37 (07) : 5498 - 5510
  • [26] CIM applications in fractional domain: Fractional-order universal filter & fractional-order oscillator
    Varshney, Garima
    Pandey, Neeta
    Minaei, Shahram
    AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS, 2022, 156
  • [27] FRACTIONAL-ORDER DIFFUSION
    KOCHUBEI, AN
    DIFFERENTIAL EQUATIONS, 1990, 26 (04) : 485 - 492
  • [28] Synchronization of Chaotic Fractional-order Systems via Fractional-Order Adaptive Controller
    Fayazi, Ali
    EMERGING SYSTEMS FOR MATERIALS, MECHANICS AND MANUFACTURING, 2012, 109 : 333 - 339
  • [29] Dynamical Analysis of a Fractional-Order Boost Converter with Fractional-Order Memristive Load
    Wu, Chaojun
    Zhang, Qi
    Yang, Ningning
    Jia, Rong
    Liu, Chongxin
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2022, 32 (03):
  • [30] Robust stability criterion of fractional-order functions for interval fractional-order systems
    Gao, Zhe
    Liao, Xiaozhong
    IET CONTROL THEORY AND APPLICATIONS, 2013, 7 (01): : 60 - 67