0
TECHNICAL BRIEFS

Simulation of Longitudinal Impact Waves Using Time Delayed Systems

[+] Author and Article Information
Bin Hu, Peter Eberhard

Institute B of Mechanics, University of Stuttgart, Pfaffenwaldring 9, D-70550 Stuttgart, Germany e-mail: [hu,eberhard]@mechb.uni-stuttgart.de

J. Dyn. Sys., Meas., Control 126(3), 644-649 (Dec 03, 2004) (6 pages) doi:10.1115/1.1789539 History: Received September 17, 2003; Online December 03, 2004
Copyright © 2004 by ASME
Your Session has timed out. Please sign back in to continue.

References

Szabó, I., 1977, Geschichte der mechanischen Prinzipien und ihrer Wichtigsten Anwendungen, Birkhäuser, Basel.
St. Venant,  B. D., and Flamant,  M., 1883, “Résistance vive ou dynamique des solids. Représentation graphique des lois du choc longitudinal,” C. R. Hebd. Seances Acad. Sci., 97, pp. 127–353.
Boussinesq, J., 1885, Applications des Potentiels à l’Étude de l’Équilibre et du Mouvement des Solides Élastiques, Gauthier–Villars, Paris.
Donnell,  L. H., 1930, “Longitudinal Wave Transmission and Impact,” Trans. ASME, 52, pp. 153–167.
Goldsmith, W., 1960, Impact: The Theory and Physical Behaviour of Colliding Solids, Edward Arnold Ltd., London.
Timoshenko, S. P., and Goodier, J. N., 1970, Theory of Elasticity, McGraw–Hill.
Shi,  P., 1997, “Simulation of Impact Involving an Elastic Rod,” Comput. Methods Appl. Mech. Eng., 151, pp. 497–499.
Xing,  Y. F., and Zhu,  D. C., 1997, “Analytical Solutions of Impact Problems of Rod Structures With Springs,” Comput. Methods Appl. Mech. Eng., 160, pp. 315–323.
Hu,  B., and Eberhard,  P., 2001, “Symbolic Computation of Longitudinal Impact Waves,” Comput. Methods Appl. Mech. Eng., 190, pp. 4805–4815.
Hu,  B., Eberhard,  P., and Schiehlen,  W., 2001, “Symbolical Impact Analysis for a Falling Conical Rod Against the Rigid Ground,” J. Sound Vib., 240, pp. 41–57.
Al-Mousawi,  M. M., 1986, “On Experimental Studies of Longitudinal and Flexural Wave Propagations: An Annotated Bibliography,” Appl. Mech. Rev., 39, pp. 853–864.
Crook,  A. W., 1952, “A Study of Some Impacts Between Metal Bodies by a Piezoeletric Method,” Proc. R. Soc. London, Ser. A, 212, pp. 377–390.
Ripperger, E. A., 1953, “The Propagation of Pulses in Cylindrical Bars: An Experimental Study,” Proceedings of the First Midwestern Conference on Solid Mechanics, Urbana IL, pp. 29–39.
Cunningham, D. M., and Goldsmith, W., 1958, “Short Impulses Produced by Longitudinal Impact,” Proceedings of the Society for Experimental Stress Analysis, 16 , pp. 153–165.
Barton, C. S., Volterra, E., and Citron, S. J., 1958, “On Elastic Impacts of Spheres on Long Rods,” Proceedings of the 3rd US National Congress on Applied Mechanics, pp. 89–94.
Ramamurti,  V., and Ramanamurti,  P. V., 1977, “Impact on Short Length Bars,” J. Sound Vib., 53, pp. 529–543.
Maekawa,  I., Tanabe,  Y., and Suzuki,  M., 1988, “Impact Stress in a Finite Rod,” JSME Int. J., Ser. I, 31, pp. 554–560.
Feroz, K. T., 1997, “Impact Dynamics of Beams and Panels,” dissertation, University of Manchester, School of Engineering, Manchester.
Hu, B., and Eberhard, P., 1999, “Experimental and Theoretical Investigation of a Rigid Body Striking an Elastic Rod,” Report No. IB-32, Institute B of Mechanics, University of Stuttgart, Stuttgart.
Hu, B., Eberhard, P., and Schiehlen, W., “Comparison of Analytical and Experimental Results for Longitudinal Impacts on Elastic Rods,” J. Vibration and Control (to be published).
Voigt,  W., 1883, “Die Theorie des longitudinalen Stosses zylindrischer Stäbe,” An. Phy. und Chemie, Series 6,19, pp. 44–65.
Stronge, W. J., 2000, Impact Mechanics, Cambridge University Press, Cambridge.
Schiehlen, W., Hu, B., and Eberhard, P., 2002, “Longitudinal Waves in Elastic Rods With Discontinuous Cross Sections,” in Proceedings of the 3rd Contact Mechanics International Symposium, Kluwer Academic Publishers, Dordrecht, pp. 117–124.
Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, New York.
Shampine,  L., and Reichelt,  M., 1997, “The Matlab ODE Suite,” SIAM J. Sci. Comput., 18, pp. 1–22.

Figures

Grahic Jump Location
Schematic description of the impact system
Grahic Jump Location
Wave propagation in the long rod
Grahic Jump Location
Wave propagation in the short rod
Grahic Jump Location
Experimental setup and laser vibrometer
Grahic Jump Location
Comparison between the simulation and the experiment for the long rod
Grahic Jump Location
Comparison between the simulation and the experiment for the short rod
Grahic Jump Location
Contact forces for the two rods
Grahic Jump Location
Contact force F and relative displacement δr for the long rod
Grahic Jump Location
Contact force F and relative displacement δr for the short rod

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In