描述鱼鳍材料松弛特性的分数Zener模型  

RELAXATION MODULUS OF CAUDAL FIN STUDIED BY FRACTIONAL ZENER MODEL

作　　者：陈明[1] 贾来兵[1] 尹协振[1] 

机构地区：[1]中国科学技术大学近代力学系,合肥230027

出　　处：《力学学报》2011年第1期217-220,共4页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家自然科学基金重点项目(10832010);中国科学院知识创新工程重要研究方向项目(KJCX2-YW-L05);中国博士后基金(20090460733);王宽诚教育基金会和中央高校基本科研业务费专项资金资助项目~~

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.Fish fin plays an important role in fish swimming as a propeller and a controller.The mechanical property of fish fin is of essential importance in exploration the source of high efficiency during fish swimming. In this paper,a study of stress relaxation in Crucian Carp fin ray was carried out.The relaxation time was 300 senconds and the decay of force indicated that the caudal fin behaves as a viscoelastic material.The fractional Zener model was used to fit the experimental data.The results are compared with the 3-parameter and 5- parameter linear models,indicating the fraction Zener model gives a better fit than the 3-parameter model and fits as well as the 5-parameter model but with less parameters.

关 键 词：鱼鳍 黏弹性材料 松弛 分数阶导数 数学建模 

分 类 号：O345[理学—固体力学] Q66[理学—力学]