Impact response of fractionally damped rectangular plates made of viscoelastic composite materials

被引：6
作者：
Teimouri, H. [1 ]
Faal, R. T. [1 ]
Milani, A. S. [2 ]
机构：
[1] Univ Zanjan, Fac Engn, POB 45195-313, Zanjan, Iran
[2] Univ British Columbia, Composites Res Network, Vancouver, BC, Canada
来源：
APPLIED MATHEMATICAL MODELLING | 2025年 / 137卷
关键词：
RTG model; general viscoelastic materials; fractionally damped; Mittag-Leffler function; modified Hertz contact law; INVERSE PROBLEM; ELASTIC IMPACT; HERTZ CONTACT; CALCULUS; RELAXATION; BEHAVIOR; MODELS;
D O I：
10.1016/j.apm.2024.115678
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The paper aims to find dynamic response of fractionally damped rectangular viscoelastic plates under low-velocity impact of a mass. The general fractional (Rubbery, Transition and Glassy) RTG model for the plate material was considered. First, the governing equation of the plate is derived and solved. Next, using the modified Hertz contact law, the governing integral equation of the problem in terms of indentation is derived and solved. Finally, relation between indentation and impact force is discretized and using the Mittag-Leffler function, history of impact force is obtained. The work is validated by comparison of the results with some particular cases and available experimental data.
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页数：26
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