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An Experimental Correction Method for Relative Indentation of Normal Contact

Published online by Cambridge University Press:  14 October 2020

P. Peng Open the ORCID record for P. Peng [Opens in a new window] ,
C. A. Di  and
G. S. Chen
P. Peng
Affiliation:
Nanjing University of Science and Technology, Nanjing, China
C. A. Di*
Affiliation:
Nanjing University of Science and Technology, Nanjing, China
G. S. Chen
Affiliation:
Nanjing University of Science and Technology, Nanjing, China
*
*Corresponding author (dichangan@njust.edu.cn)
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Abstract

Relative indentation is the input signal estimating contact force model parameters, so the signal is required to have a higher precision to ensure the accuracy of the estimated contact force model parameters. However, in the impact experiment, the vibration displacements in multiple directions are often coupled in the relative indentation, resulting in a large error of the measured relative indentation. This paper presents an experimental correction method for the relative indentation. Firstly, the relative indentation is decoupled by the established model of the spatial position of the hammerhead relative to the sample to reduce the errors caused by the rotation of the pendulum boom and the vibration of the base. A pendulum impact test device is established to verify the correction method of relative indentation. The results show that the maximum relative error between the contact force estimated by using the corrected relative indentation as the input signal and the measured contact force is less than 3%. The estimated contact force is in good agreement with the measured value, and the correlation coefficient is above 0.92. It shows that the experimental correction of the relative indentation has achieved good results, which verifies the accuracy of the correction method.

Keywords

Contact impactContact force modelRelative indentationCorrection
Type
Research Article
Information
Journal of Mechanics , Volume 36 , Issue 6 , December 2020 , pp. 971 - 984
Copyright
Copyright © 2020 The Society of Theoretical and Applied Mechanics

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References

REFERENCES

Zhou, T., Liu, X., Liang, Z., Liu, Y., Xie, J., and Wang, X., “Recent advancements in optical microstructure fabrication through glass molding process,” Frontiers of Mechanical Engineering, 12(1), pp. 46–65 (2017). doi: 10.1007/s11465-017-0425-2CrossRefGoogle Scholar
Bai, Z. F., Zhao, Y., and Wang, X. G., “A Nonlinear Contact Force Model for Revolute Joint with Clearance,” Journal of Mechanics, 29(04), pp. 653–660 (2013). doi: 10.1017/jmech.2013.53CrossRefGoogle Scholar
Bo, S. J., Guo, R. B., and Zhu, H., “Dynamic Study for Working Device of PE-250*400 Crusher,” Advanced Materials Research, 753-755, pp.1699–1702 (2013). doi: 10.4028/www.scientific.net/amr.753-755.1699CrossRefGoogle Scholar
Erkaya, S., & Dogan, S., “A comparative analysis of joint clearance effects on articulated and partly compliant mechanisms,” Nonlinear Dynamics, 81(1-2), pp. 323–341 (2015). doi: 10.1007/s11071-015-1994-4CrossRefGoogle Scholar
Parenti-Castelli, V., Venanzi, S., and Lenarcic, J. (n.d.)., “Influence of geometry on the kinematic performances of a humanoid shoulder-girdle mechanism with clearance in the joints,” 2001 IEEE/ASME International Conference on Advanced Intelligent Mechatronics. Proceedings (Cat. No.01TH8556). doi: 10.1109/aim.2001.936464CrossRefGoogle Scholar
Guo, F., “Research of Local Strong Signal Diagnosis for Incipient Gear Fault,” Chongqing University, pp. 2-3 (2016). doi: CNKI:CDMD:2.1016.907723Google Scholar
Flores, P., Ambrósio, J., Claro, J. C. P., and Lankarani, H. M., “Influence of the contact—impact force model on the dynamic response of multi-body systems,” Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-Body Dynamics, 220(1), pp. 21–34 (2006). doi: 10.1243/146441906x77722Google Scholar
Baiceanu, M., Flores, P., Oprisan, C., and Olaru, D., “Study of the Contact Force Model on the Dynamic Response of a Four-Bar Mechanism with Clearance Joints,” Mechanisms and Machine Science, 7, pp.541–548 (2012). doi: 10.1007/978-94-007-4902-3_57CrossRefGoogle Scholar
Van Zeebroeck, M., Tijskens, E., Liedekerke, P. V., Deli, V., Baerdemaeker, J. D., and Ramon, H., “Determination of the dynamical behaviour of biological materials during impact using a pendulum device,” Journal of Sound and Vibration, 266(3), pp. 465–480 (2003). doi: 10.1016/s0022-460x(03)00579-0CrossRefGoogle Scholar
Long, X.-H., Ma, Y.-T., Yue, R., and Fan, J., “Experimental study on impact behaviors of rubber shock absorbers,” Construction and Building Materials, 173, pp. 718–729 (2018). doi: 10.1016/j.conbuildmat.2018.04.077CrossRefGoogle Scholar
Brake, M. R. W., Reu, P. L., and Aragon, D. S., “A Comprehensive Set of Impact Data for Common Aerospace Metals,” Journal of Computational and Nonlinear Dynamics, 12(6), pp. 061011 (2017). doi: 10.1115/1.4036760CrossRefGoogle Scholar
Sprenger, F. D., Siegenthaler, L., Kneubuehl, B. P., and Jackowski, C., “The influence of striking object characteristics on the impact energy,” International Journal of Legal Medicine, 130(3), pp. 835–844 (2015). doi: 10.1007/s00414-015-1268-1CrossRefGoogle ScholarPubMed
Sahraoui, S., El Mahi, A., and Castagnède, B., “Measurement of the dynamic fracture toughness with notched PMMA specimen under impact loading,” Polymer Testing, 28(7), pp. 780-783 (2009). doi: 10.1016/j.polymertesting.2009.06.005CrossRefGoogle Scholar
Lee, J., Vakakis, A. F., and Bergman, L. A., “Impact time measurement by using the fiber optic sensor in the pendulum ball collision,” Proceedings of SPIE-The International Society for Optical Engineering, 132(3), pp. 2075 (2013). doi: org/10.1121/1.4755651Google Scholar
Big-Alabo, A., Harrison, P., and Cartmell, M. P., “Contact model for elastoplastic analysis of half-space indentation by a spherical impactor,” Computers & Structures, 151, pp. 20–29. (2015). doi: 10.1016/j.compstruc.2015.01.005CrossRefGoogle Scholar
Cavalieri, F., and Cardona, A., “Non-smooth model of a frictionless and dry three-dimensional revolute joint with clearance for multibody system dynamics,” Mechanism and Machine Theory, 121, pp. 335-354 (2018). doi: 10.1016/j.mechmachtheory.2017.09.018CrossRefGoogle Scholar
Chen, G., “The study on the dynamic of the projectile-barrel coupled system and the corresponding key parameters,” Nanjing University of Science and Technology, pp. 84-85 (2016).Google Scholar
Sherif, H. A., and Almufadi, F. A., “Identification of contact parameters from elastic-plastic impact of hard sphere and elastic half space,” Wear, 368-369, pp. 358-367 (2016). doi: 10.1016/j.wear.2016.10.006CrossRefGoogle Scholar
Heinrich, H., “Üiber die Berührung fester elastischer Körper,” Journal für die reine und angewandte Mathematik (Crelles Journal), 92, pp. 156-171 (1881). doi: 10.1515/crll.1882.92.156Google Scholar
Zukas, J. A., Nicholas, T., Swift, H. F., and Greszczuk, L. B., “Impact Dynamics,” Journal of Applied Mechanics, 50(3), pp. 702 (1982). doi: 10.1115/1.3167125CrossRefGoogle Scholar
Lankarani, H. M., and Nikravesh, P. E., “A Contact Force Model With Hysteresis Damping for Impact Analysis of Multibody Systems,” Journal of Mechanical Design, 112(3), pp. 369 (1990). doi: 10.1115/1.2912617CrossRefGoogle Scholar
Lankarani, H. M., Nikravesh, P. E., “Continuous contact force models for impact analysis in multibody systems,” Nonlinear Dynamics, 5(2), pp. 193-207 (1994). doi: 10.1007/BF00045676Google Scholar
Ma, J., Chen, G., Ji, L., Qian, L. and Dong, S. “A general methodology to establish the contact force model for complex contacting surfaces,” Mechanical Systems and Signal Processing, 140, pp. 106678 (2020). doi: 10.1016/j.ymssp.2020.106678CrossRefGoogle Scholar
Ma, J., Qian, L., and Chen, G., “Online Parameter Estimation of the Lankarani–Nikravesh Contact Force Model Using Two Different Methods,” 1nternational Journal of Computational Methods, 13(04), pp. 1641017 (2016). doi: 10.1142/s0219876216410176CrossRefGoogle Scholar
Peng, P., Di, C., Qian, L., and Chen, G., “Parameter Identification and Experimental Investigation of Sphere-Plane Contact Impact Dynamics,” Experimental Techniques, 41(5), pp. 547–555 (2017). doi: 10.1007/s40799-017-0195-0CrossRefGoogle Scholar