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A Combined Data Processing Method on Water Impact Force Measurement

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Abstract

A combined method is proposed to determine the water entry acceleration at a low impact velocity through image processing. The procedure includes: (1) a sequence of images for water impact are recorded by a high speed camera, (2) the sub-pixel image processing method is employed to calculate the displacement with an accuracy on the “sub-pixel” level, (3) the acceleration of the object is acquired by differentiating the displacement twice and with results being further filtered by a carefully designed low-pass Butterworth filter. A theoretically based analysis is conducted for designing the parameters of the low-pass filters. It is shown that the water entry can be regarded as a procedure with a slowly changing velocity. The method is validated with the standard sinusoidal motion and the water entry of a sphere. This approach could be considered as an auxiliary method during the early-stage study of the water entry, and it could be further applied to some complicated circumstances, like the water entry of spinning spheres.

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References

  1. SEDDON C. M., MOATAMEDI M. Review of water entry with applications to aerospace structures [J]. Inter national Journal of Impact Engineering, 2006, 32(7): 1045–1067.

    Article  Google Scholar 

  2. BUSH J. W. M., HU D. L. Walking on water: Biolocomotion at the interface [J]. Annual Review of Fluid Mechanics, 2006, 32: 339–369.

    Article  MathSciNet  Google Scholar 

  3. DUEZ C., YBERT C. and CLANET C. et al. Making a splash with water repellency [J]. Nature Physics, 2007, 3: 180–183.

    Article  Google Scholar 

  4. MOGHISI M., SQUIRE P. T. An experimental investigation of the initial force of impact on a sphere striking a liquid surface [J]. Journal of Fluid Mechanics, 1981, 108: 133–146.

    Article  Google Scholar 

  5. MILOH T. On the initial-stage slamming of a rigid sphere in a vertical water entry [J]. Applied Ocean Research, 1991, 13(1): 43–48.

    Article  Google Scholar 

  6. SCOLAN Y.-M., KOROBKIN A. A. Three-dimensional theory of water impact. Part 1. Inverse Wagner problem [J]. Journal of Fluid Mechanics, 2001, 440: 293–326.

    Article  MathSciNet  Google Scholar 

  7. KOROBKIN A. A., KHABAKHPASHEVA T. I. The construction of exact solutions in the floating-plate problem [J]. Journal of Applied Mathematics and Mechanics, 2007, 71(2): 287–294.

    Article  MathSciNet  Google Scholar 

  8. LOHSE D., RAUHÉ R. and BERGMANN R. et al. Creating a dry variety of quicksand [J]. Nature, 2004, 432: 689–690.

    Article  Google Scholar 

  9. TABUTEAU H., SIKORSKI D. and VET S. J. D. et al. Impact of spherical projectiles into a viscoplastic fluid [J]. Physical Review E, 2011, 84(3): 031403.

    Google Scholar 

  10. YETTOU E.-M., DESROCHERS A. and CHAMPOUX Y. Experimental study on the water impact of a symmetrical wedge [J]. Fluid Dynamics Research, 2006, 38(1): 47–66.

    Article  Google Scholar 

  11. BACKER G. D., VANTORRE M. and BEELS C. et al. Experimental investigation of water impact on axisymmetric bodies [J]. Applied Ocean Research, 2009, 31(3): 143–156.

    Article  Google Scholar 

  12. WANG Wen-hua, WANG Yan-ying. Influence of para-meters of twin cylinders on hydrodynamic during synchronous water entry [J]. Chinese Journal of Hydro-dynamics, 2010, 25(1): 23–30(in Chinese).

    Google Scholar 

  13. THORODDSEN S. T., ETOH T. G. and TAKEHARA K. High-speed imaging of drops and bubbles [J]. Annual Review Fluid Mechanics, 2008, 40: 257–285.

    Article  MathSciNet  Google Scholar 

  14. VEGA E. J., MONTANERO J. M. and FERNANDEZ J. On the precision of optical imaging to study free surface dynamics at high frame rates [J]. Experiments in Fluids, 2009, 47(2): 251–261.

    Article  Google Scholar 

  15. LAURENCE S. J. On tracking the motion of rigid bodies through edge detection and least-squares fit-ting [J]. Experiments in Fluids, 2012, 52(2): 387–401.

    Article  Google Scholar 

  16. TRUSCOTT T. T., TECHET A. H. Water entry of spinning spheres [J]. Journal of Fluid Mechanics, 2009, 625: 135–165.

    Article  Google Scholar 

  17. TECHET A. H., TRUSCOTT T. T. Water entry of spinning hydrophobic and hydrophilic spheres [J]. Journal of Fluids and Structures, 2011, 27(5-6): 716–726.

    Google Scholar 

  18. EPPS B. P. An impulse framework for hydrodynamic force analysis: Fish propulsion, water entry of spheres, and marine propellers [D]. Ph. D. Thesis, Cambridge, USA: Massachusetts Institute of Technology, 2010.

    Google Scholar 

  19. ALI M. Using the Canny edge detector for feature extraction and enhancement of remote sensing images [C]. Geoscience and Remote Sensing Symposium, 2001. IGARSS’01. IEEE 2001 International. Sydeney, Australia, 2001, 5: 2298–2300.

    Google Scholar 

  20. ZHOU Wan-zhi. Study on high precision image measurement technology [D]. Master Thesis, Xi’an: Xidian University, 2009in Chinese.

    Google Scholar 

  21. GONZALEZ R. C., WOODS R. E. Digital image processing [M]. 3rd Edition, New Jersey, USA: Prentice-Hall 2009.

    Google Scholar 

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Authors and Affiliations

  1. School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an, 710072, China

    Meng-hua Zhao & Xiao-peng Chen

Authors
  1. Meng-hua Zhao
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  2. Xiao-peng Chen
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Corresponding author

Correspondence to Meng-hua Zhao.

Additional information

Project supported by the National Natural Science Foundation of China (Grant No. 11172241), the Innovation Foundation of Aerospace Science and Technology of China and the National High Technology Research and Development Programs of China (863 Program, Grant No. 2012AA011803).

Biography: ZHAO Meng-hua (1988-), Male, Master Candidate

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Zhao, Mh., Chen, Xp. A Combined Data Processing Method on Water Impact Force Measurement. J Hydrodyn 24, 692–701 (2012). https://doi.org/10.1016/S1001-6058(11)60293-X

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  • DOI: https://doi.org/10.1016/S1001-6058(11)60293-X

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