Dynamic Impact Force on a Special Drilling Mechanism for Planetary Exploration
Publication: Journal of Aerospace Engineering
Volume 29, Issue 4
Abstract
Special percussive mechanisms have been used to explore the lunar, Martian, and other planetary subsurface and extract soil (regolith)/rock samples for further study. The special type of percussive mechanisms investigated in this study, Auto-Gopher and Ultrasonic/Sonic Driller/Corer (USDC) developed by National Aeronautics and Space Administration (NASA) Jet Propulsion Laboratory and Honeybee Robotics Spacecraft Mechanisms Corporation, consists of an ultrasonic horn, a free mass (hammer), and the drill rod. This paper presents a general methodology to perform the dynamic contact analysis of the longitudinal impact of the free mass on the drill rod including the effects of structural vibration and damping of the rod. The contact force caused by impact is obtained by using Hertz force-indentation relation coupled with the structural vibration of the rod obtained by using mode superposition method and finite-element technique. Numerical solution, with equilibrium iterations, of the equations of motion is implemented. The contact force was observed to be consistent with experimental results available in the literature for similar problems. The results obtained with the model developed in this study are also verified by using a commercially available finite-element code. The magnitude of the contact force was observed to increase with increasing damping ratio, whereas the duration of the contact force slightly decreased.
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Acknowledgments
The authors gratefully acknowledge financial and/or other support received from Honeybee Robotics Spacecraft Mechanism Corporation, NASA/Connecticut Space Grant College Consortium, U.S. Department of Education Graduate Assistance in Areas of National Needs (GAANN) fellowship, and University of Connecticut Graduate School Multicultural Scholarship Program (MSP).
References
Abaqus FEA 6.12 [Computer software]. Dassault Systemes Simulia, Providence, RI.
Arnold, R. N. (1937). “Impact stressed in a freely supported beam.” Proc. Inst. Mech. Eng., 137, 217–281.
Badescu, M., Sherrit, S., Bao, X., Bar-Cohen, Y., and Chen, B. (2011). “Auto-Gopher—A wire-line rotary-hammer ultrasonic drill.” Proc., SPIE Smart Structures and Materials Conf., SPIE, Bellingham, WA, 8.
Bao, X., et al. (2003). “Modeling and computer simulation of ultrasonic/sonic/driller/corer (USDC).” IEEE Trans. Ultrason. Ferroelectr. Freq. Control, 50(9), 1147–1160.
Bar-Cohen, Y., et al. (2001). “Ultrasonic/sonic driller/corer (USDC) as a sampler for planetary exploration.” Proc., IEEE Aerospace Conf. on the Topic of Missions, Systems, and Instruments for In Situ Sensing, IEEE, Piscataway, NJ, 10.
Bar-Cohen, Y., et al. (2012). “Deep drilling and sampling via the wireline auto-gopher driven by piezoelectric percussive actuator and EM rotary motor.” Proc., SPIE Smart Structures and Materials/NDE Symp., SPIE, Bellingham, WA, 8.
Bar-Cohen, Y., Sherrit, S., Bao, X., Badescu, M., Aldrich, J., and Chang, Z. (2007). “Subsurface sampler and sensors platform using the ultrasonic/sonic driller/corer (USDC).” Proc., SPIE Smart Structures and Materials Symp., SPIE, Bellingham, WA, 8.
Barton, C. S., Volterra, E. G., and Citron, S. J. (1958). “On elastic impacts of spheres on long rods.” Proc., 3rd U.S. National Congress of Applied Mechanics, ASME, New York, 89–94.
Clough, R. W., and Penzien, J. (1975). Dynamics of structures, McGraw-Hill, New York.
Cook, R. D., Malkus, D. S., Plesha, M. E., and Witt, R. J. (2002). Concepts and applications of finite element analysis, 4th Ed., Wiley, Hoboken, NJ.
Cox, H. (1849). “On impact of elastic beams.” Trans. Cambridge Philos. Soc., 9, 73–78.
Craig, R. (1981). Structural dynamics: An introduction to computer methods, Wiley, Hoboken, NJ.
Deeks, A. J., and Randolph, M. F. (1993). “Analytical modelling of hammer impact for pile driving.” Int. J. Numer. Anal. Methods Geomech., 17(5), 279–302.
Fathi, A., and Popplewell, N. (1994). “Improved approximations for a beam impacting a stop.” J. Sound Vibr., 170(3), 365–375.
Goldsmith, W. (1960). Impact: The theory and physical behaviour of colliding solids, Edward Arnold, London.
Hertz, H. (1881). “On the contact of elastic solids.” J. für die Reine und Angewandte Mathematik, 92, 56–171.
Johnson, K. L. (1985). Contact mechanics, Cambridge University Press, Cambridge, U.K.
King, R. P., and Bourgeois, F. (1993). “Measurement of fracture energy during single-particle fracture.” Min. Eng., 6(4), 353–367.
Koten, H. V. (1991). “Optimal pile driving.” Proc., 4th Int. Conf. on Piling and Deep Foundations, A.A. Balkema, Rotterdam, Netherlands, 655–658.
Malla, R. B., and Shrestha, B. R. (2010). “Stress and displacement wave propagation in a percussive tubular mechanism for space applications.” Proc., 51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials (SDM) Conf., AIAA, Reston, VA, 18.
Malla, R. B., Shrestha, B. R., Paulsen, G., and Craft, J. (2010). “Variation in wave propagation in lunar percussive drilling instrument due to presence of a joint.” Proc., ASCE Earth and Space 2010: Engineering, Science, Construction, and Operations in Challenging Environments, ASCE, Reston, VA, 1513–1524.
MATLAB 7.10 [Computer software]. Mathworks, Natick, MA.
Paz, M. (1997). Structural dynamics: Theory and computation, Chapman & Hall, London.
Randolph, M. F. (1991). “Analysis of the dynamics of pile driving.” Developments in soil mechanics. IV: Advanced geotechnical analysis, Elsevier Applied Science, London.
Rao, S. S. (2007). Vibration of continuous systems, Wiley, Hoboken, NJ.
St. Venant, B. D., and Flamant, M. (1889). “Courbes representatives des lois du choc longitudinal et du choc transversal d’une barre prismatique.” J. Exole Polytech., 59, 97.
Tavares, L. M. (1999). “Energy absorbed in breakage of single particles in drop weight testing.” Min. Eng., 12(1), 43–50.
Tedesco, J. W., McDougal, W. G., and Ross, C. S. (1999). Structural dynamics: Theory and applications, Addison Wesley Longman, Menlo Park, CA.
Timoshenko, S. (1913). “Zur frage nach der wirkung eines stosses auf einen balken.” Zeitschrift für Mathematik und Physik, 62(2), 198.
Timoshenko, S., Young, D. H., and Weaver, W., Jr. (1974). Vibration problems in engineering, 4th Ed., Wiley, Hoboken, NJ.
Vila, L. J., and Malla, R. B. (2013). “Dynamic and contact analysis of a special percussive mechanism for planetary subsurface exploration.” Proc., 54th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials (SDM) Conf., AIAA, Reston, VA, 11.
Vila, L. J., and Malla, R. B. (2014a). “Analysis of the hammering mechanism of a special percussive system for space exploration.” Proc., AAIA SciTech 2014/55th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials (SDM) Conf., AIAA, Reston, VA, 11.
Vila, L. J., and Malla, R. B. (2014b). “Longitudinal impact force on a special drill for planetary exploration.” Proc., Earth & Space 2014—Engineering, Science, Construction and Operations in Challenging Environments, ASCE, Reston, VA, 10.
Volterra, E., and Zachmanoglou, E. C. (1965). Dynamics of vibrations, Charles E. Merrill Books, Columbus, OH.
Vu-Quoc, L., and Zhang, X. (1999). “An elastoplastic contact force-displacement model in the normal direction: Displacement-driven version.” Proc. R. Soc. London. Series A: Math. Phys. Eng. Sci., 455(1991), 4013–4044.
Vu-Quoc, L., Zhang, X., and Lesburg, L. (2000). “A normal force-displacement model for contacting spheres, accounting for plastic deformation: Force-driven formulation.” ASME J. Appl. Mech., 67(2), 363–371.
Vu-Quoc, L., Zhang, X., and Lesburg, L. (2001). “Normal and tangential force-displacement relations for frictional elasto-plastic contact of spheres.” Int. J. Solids Struct., 38(36–37), 6455–6489.
Xing, Y. F., and Zhu, D. C. (1998). “Analytical solutions of impact problems of rod structures with springs.” Comput. Methods Appl. Mech. Eng., 160(3–4), 315–323.
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Published In
Journal of Aerospace Engineering
Volume 29 • Issue 4 • July 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Mar 17, 2015
Accepted: Nov 16, 2015
Published online: Feb 24, 2016
Published in print: Jul 1, 2016
Discussion open until: Jul 24, 2016
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