鳗鲡模式游动的鱼体变形曲率波的传播特性研究

沈昊嫣; 朱博闻; 王智慧; 余永亮

doi:10.6052/0459-1879-19-087

鳗鲡模式游动的鱼体变形曲率波的传播特性研究

中国科学院大学生物运动力学实验室, 北京 100049

基金项目: 1) 国家自然科学基金项目(11372310);中国科学院前沿科学重点研究计划(QYZDB-SSW-SYS002);中国科学院青年创新促进会项目(2017490)

详细信息

通讯作者:
余永亮

中图分类号: O352,R318.01
计量
- 文章访问数: 1521
- HTML全文浏览量: 173
- PDF下载量: 254
出版历程
- 收稿日期: 2019-04-08
- 刊出日期: 2019-07-17

PROPAGATION CHARACTERISTICS OF CURVATURE WAVE ALONG THE BODY IN ANGUILLIFORM FISH SWIMMING

The Lab of Biomechanics for Animal Locomotion, University of Chinese Academy of Sciences, Beijing 100049, China

摘要

摘要: 将鳗鲡模式游动的七鳃鳗简化成材料性质均匀的变截面黏弹性梁,通过数值方法求解鱼体在主动弯矩波(作为激励的驱动波)的驱动下匀速游动时身体变形曲率波的传播特性. 结果表明,当主动弯矩的驱动频率高于鱼体结构基频时,可以观察到曲率波相对于驱动波存在相位滞后,且越靠近尾部滞后现象越明显,这意味着曲率波的波速小于驱动波的波速,也间接地验证了前人的实验结果. 通过参数研究发现,鱼体变形曲率波与驱动波的波速比与表征流体黏性作用的雷诺数无关,而与表征驱动波和鱼体材料属性的无量纲激励频率、激励波长及鱼体黏性系数有关. 对于鳗鲡模式游动的鱼类,曲率波与驱动波的波速比随着无量纲激励频率和波长的增大而降低,随着鱼体黏性系数的增大而增大. 进一步研究发现,通过小扰动分析得到的组合相似性参数$\varPi$可以统一描述波速比与激励参数、材料参数之间的关系.
- 鳗鲡模式游动 /
- 七鳃鳗 /
- 主动弯矩波 /
- 曲率波
Abstract: In this study, the homogeneous viscoelastic beam with a variable cross-section is used to model the lamprey, an anguilliform (eel-like) swimmer, and to research the propagation characteristics of the curvature wave driven by an active bending moment wave along the fish body. The results show that as long as the excitation frequency is higher than the structure fundamental frequency of the fish body, there will be a phase lag between the two waves, which increases from the head to the tail of the fish body. The increasing phase lag indicates that there exists a speed difference between propagations of the active bending moment and the body curvature, that is, the speed of the later is lower than that of the former. This features are consistent with the experimental results published. The dimensional analysis indicates the ratio of the speed of bending curvature wave to that of the active bending moment wave is associated with the dimensionless excitation frequency, wavelength and damping coefficient, but independent of the swimming Reynolds number. For anguilliform (eel-like) swimmers, the wave speed ratio decreases with increasing frequency or wave length of active bending moment, and it rises if the damping coefficient becomes larger. In addition, we also carried out a small perturbation analysis to linearize the equations, and found an integrated similarity parameter which includes the dimensionless frequency, wave length and damping coefficient. This parameter can uniformly describe the dependence of the speed ratio on the excitation and material parameters.
- anguilliform swimming /
- lamprey /
- active bending moment wave /
- curvature wave

HTML全文

参考文献(1)

[1]	Blight AR . Undulatory swimming with and without waves of contraction. Nature, 1976,264(5584):352-354
[2]	Blight AR . The muscular control of vertebrate swimming movement. Biological Reviews, 1977,52(2):181-218
[3]	Grillner S . On the generation of locomotion in the spinal dogfish. Experimental Brain Research, 1974,20(5):459-470
[4]	Grillner S, Kashin S . On the generation and performance of swimming in fish// Neural Control of Locomotion. US:Springer, 1976
[5]	Williams TL, Grillner S, Smoljaninov VV , et al. Locomotion in lamprey and trout: The relative timing of activation and movement. The Journal of Experimental Biology, 1989,143(1):559-566
[6]	Wardle CS, Videler JJ, Altringham JD , et al. Tuning in to fish swimming waves: Body form, swimming mode and muscle function. The Journal of Experimental Biology, 1995,198(8):1629-1636
[7]	McMillen T, Holmes P . An elastic rod model for anguilliform swimming. Journal of Mathematical Biology, 2006,53(5):843-886
[8]	McMillen T, Williams T, Holmes P , et al. Nonlinear muscles, passive viscoelasticity and body taper conspire to create neuromechanical phase lags in anguilliform swimmers. PLOS Computational Biology, 2008,4(8):1-16
[9]	Williams TL, Bowtell G, Curtin NA , et al. Predicting force generation by lamprey muscle during applied sinusoidal movement using a simple dynamic model. The Journal of Experimental Biology, 1998,201(6):869-875
[10]	Liu H, Kolomenskiy D, Nakata T , et al. Unsteady bio-fluid dynamics in flying and swimming. Acta Mechanica Sinica, 2017,33(4):663-684
[11]	Yang Y, Wu GH, Yu YL , et al. Two-dimensional self-propelled fish motion in medium: An integrated method for deforming body dynamics and unsteady fluid dynamics. Chinese Physics Letters, 2008,25(2):597-600
[12]	Liu G, Yu Y, Tong B . Flow control by means of a traveling curvature wave in fishlike escape responses. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2011,84(5):056312
[13]	Xin Z, Wu C . Shape optimization of the caudal fin of the three-dimensional self-propelled swimming fish. Science China-Physics Mechanics & Astronomy, 2013,56(2):328-339
[14]	Wang S, He G, Zhang X . Self-propulsion of flapping bodies in viscous fluids: Recent advances and perspectives. Acta Mechanica Sinica, 2016,32(6):980-990
[15]	Cheng JY, Pedley TJ, Altringham JD . A continuous dynamic beam model for swimming fish. Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences, 1998,353:981-997
[16]	Zhang W, Yu YL, Tong BG . Prediction of fish body's passive visco-elastic properties and related muscle mechanical performance in vivo during steady swimming. Science China, Physics, Mechanics & Astronomy, 2014,57(2):354-364
[17]	张薇, 余永亮, 童秉纲 . 鱼类巡游中的活体肌肉力学性能预测. 力学学报, 2014,46(4):619-625
[17]	( Zhang Wei, Yu Yongliang, Tong Binggang . Prediction of mechanical properties of fish muscle in vivo during steady swimming. Chinese Journal of Theoretical and Applied Mechanics, 2014,46(4):619-625 (in Chinese))
[18]	Taylor G . Analysis of the swimming of long and narrow animals. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 1952,214(1117):158-183
[19]	Long JH . Muscles, elastic energy, and the dynamics of body stiffness in swimming eels. Am Zool, 1998,38:771-792
[20]	Long JH, Koobemunds MM, Sinwell B , et al. The notochord of hagfish Myxine glutinosa: Visco-elastic properties and mechanical functions during steady swimming. The Journal of Experimental Biology, 2002,205(24):3819-3831
[21]	Tytell E, Carr JA, Danos N , et al. Body stiffness and damping depend sensitively on the timing of muscle activation in lampreys. Integrative and Comparative Biology, 2018,58(5):860-873
[22]	Tytell ED, Hsu CY, Williams TL , et al. Interactions between internal forces, body stiffness, and fluid environment in a neuromechanical model of lamprey swimming. Proceedings of the National Academy of Sciences, 2010,107(46):19832-19837

施引文献(7)

期刊类型引用(2)

1.	张旭尧，崔祚，尹存宏，程安楠. 鳗鲡科鱼类变刚度特性对推进性能影响研究. 力学学报. 2024(01): 273-284 . 本站查看
2.	杨国党，胡晓，石小涛，余英俊，张奔，龙泽宇. 草鱼幼鱼周身压力与曲率相关性数值模拟研究. 计算力学学报. 2022(05): 623-632 . 百度学术