Relaxation modulus of caudal fin studied by fractional zener model
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摘要: 鱼鳍在游动中起到了推进和控制的作用, 研究鱼鳍的力学性质对研究鱼类游动中高效率的来源具有重要意义. 本文对鲫鱼尾鳍鳍条进行了松弛实验, 松弛时间为300\,s,力随时间表现出较明显的衰减, 表明鱼鳍具有黏弹性性质. 采用分数Zener模型拟合实验数据, 并将拟合结果与3参数和5参数线性模型拟合结果比较, 发现3参数线性模型拟合效果较差, 分数Zener模型和5参数线性模型都较好地拟合了松弛曲线, 但分数Zener模型具有使用参数更少的优点.
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关键词:
- 数学建模
Abstract: Fish fin plays an important role in fish swimming as apropeller and a controller. The mechanical property of fish fin is ofessential importance in exploration the source of high efficiency duringfish swimming. In this paper, a study of stress relaxation in Crucian Carpfin ray was carried out. The relaxation time was 300 senconds and the decayof force indicated that the caudal fin behaves as a viscoelastic material.The fractional Zener model was used to fit the experimental data. Theresults are compared with the 3-parameter and 5-parameter linearmodels, indicating the fraction Zener model gives a better fit than the3-parameter model and fits as well as the 5-parameter model but withless parameters.-
Key words:
- mathematical modeling
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