Abstract
The research problem we considered is to evaluate the accuracy of traveling wave model proposed in the literature as the kinematic model for fish midline motions during straight forward carangiform swimming. Almost all the literature uses a sinusoidal traveling wave model with constant wavelength and frequency for the model of lateral movements of body. We acquired raw data of midline lateral movements for three Carangiform fish from the resources available in the literature. On the other hand, we built the traveling wave models based on the format used in literature. We used COD (complex orthogonal decomposition) to decompose the total motion associated with the raw data and with the traveling wave model into complex modes and derive the wave properties. Through this analysis we evaluated the traveling wave model accuracy. The criteria we chose for comparison was the dominant modes’ shape and their number, frequencies and wavelength associated to each mode. As a result of this analysis, we found that both the lab data and the traveling wave model, have a single dominant mode. The main difference between these two was that the phase change rate with respect to location and with respect to time is not constant in raw data, however in the traveling wave model we used constant frequency and wavelength.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Anderson, J.M.: Vorticity control for efficient propulsion. No. MIT/WHOI-96-02. Massachusetts Institute of Technology, Cambridge (1996)
Anderson, E.J., Mcgillis, W.R., Grosenbaugh, M.A.: The boundary layer of swimming fish. J. Exp. Biol. 204(1), 81–102 (2001)
Barrett, D.S.: Propulsive efficiency of a flexible hull underwater vehicle. PhD dissertation, Massachusetts Institute of Technology (1996)
Barrett, D.S., Triantafyllou, M.S., Yue, D.K.P., Grosenbaugh, M.A., Wolfgang, M.J.: Drag reduction in fish-like locomotion. J. Fluid Mech. 392, 183–212 (1999)
Cheng, J.-Y., Blickhan, R.: Bending moment distribution along swimming fish. J. Theor. Biol. 168, 337–348 (1993)
Cheng, J.-Y., Zhuang, L.-X., Tong, B.-G.: Analysis of swimming three-dimensional waving plates. J. Fluid Mech. 232, 341–355 (1991)
Cheng, J.-Y., Pedley, T.J., Altringham, J.D.: A continuous dynamic beam model for swimming fish. Philos. Trans. R. Soc. Lond. B: Biol. Sci. 353(1371), 981–997 (1998)
Coral Cullar, W.: BR3: a biologically inspired fish-like robot actuated by SMA-based artificial muscles. PhD dissertation, Industriales (2015)
Cui, Z., Gu, X., Li, K., Jiang, H.: CFD studies of the effects of waveform on swimming performance of carangiform fish. Appl. Sci. 7(2), 149 (2017)
Feeny, B.F.: A complex orthogonal decomposition for wave motion analysis. J. Sound Vib. 310(1), 77–90 (2008)
Feeny, B.F., Feeny, A.K.: Complex modal analysis of the swimming motion of a whiting. J. Vib. Acoust. 135(2), 021004 (2013)
Gray, J.: Studies in animal locomotion III. The propulsive mechanism of the whiting (gadus merlangus). J. Exp. Biol. 10, 391–402 (1933)
Lamas, M., Rodriguez, J., Rodriguez, C., Gonzalez, P.: Three-dimensional CFD analysis to study the thrust and efficiency of a biologically-inspired marine propulsor. Polish Marit. Res. 18(1), 10–16 (2011)
Lighthill, M.J.: Note on the swimming of slender fish. J. Fluid Mech. 9(2), 305–317 (1960)
Lindsey, C.C.: 1-form, function, and locomotory habits in fish. Fish Physiol. 7, 1–100 (1978)
Liu, J., Hu, H.: A 3D simulator for autonomous robotic fish. Int. J. Autom. Comput. 1(1), 42–50 (2004)
Liu, H., Wassersug R., Kawachi, K.: A computational fluid dynamics study of tadpole swimming. J. Exp. Biol. 199(6), 1245–1260 (1996)
McHenry, M.J., Pell, C.A., Long, J.H.: Mechanical control of swimming speed: stiffness and axial wave form in undulating fish models. J. Exp. Biol. 198(11), 2293–230 (1995)
McMillen, T., Holmes, P.: An elastic rod model for anguilliform swimming. J. Math. Biol. 53(5), 843–886 (2006)
Techet, A.H.: Experimental visualization of the near-boundary hydrodynamics about fish-like swimming bodies. No. MIT/WHOI-2001-01. Massachusetts Institute of Technology, Cambridge (2001)
Videler, J.J., Hess, F.: Fast continuous swimming of two pelagic predators, saithe (Pollachius virens) and mackerel (Scomber scombrus): a kinematic analysis. J. Exp. Biol. 109(1), 209–228 (1984)
Wolfgang, M.J., Anderson, J.M., Grosenbaugh, M.A., Yue, D.K., Triantafyllou, M.S.: Near-body flow dynamics in swimming fish. J. Exp. Biol. 202(17), 2303–2327 (1999)
Wu, T.Y.-T.: Swimming of a waving plate. J. Fluid Mech. 10(3), 321–344 (1961)
Wu, T.Y.-T.: Hydromechanics of swimming propulsion. Part 3. Swimming and optimum movements of slender fish with side fins. J. Fluid Mech. 46(3), 545–568 (1971)
Yu, J., Wang, S., Tan, M.: A simplified propulsive model of bio-mimetic robot fish and its realization. Robotica 23(1), 101–107 (2005)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 The Society for Experimental Mechanics, Inc.
About this paper
Cite this paper
Tanha, M., Feeny, B.F. (2019). Evaluation of Traveling Wave Models for Carangiform Swimming Based on Complex Modes. In: Mains, M., Dilworth, B. (eds) Topics in Modal Analysis & Testing, Volume 9. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-74700-2_38
Download citation
DOI: https://doi.org/10.1007/978-3-319-74700-2_38
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-74699-9
Online ISBN: 978-3-319-74700-2
eBook Packages: EngineeringEngineering (R0)