Simulation of longitudinal impact waves using time delayed systems

Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME

Volumn 126, Issue 3, 2004, Pages 644-649

  Hu, Bin ^a   Eberhard, Peter ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTIC MODULI; ELASTICITY; IMPACT TESTING; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; POISSON RATIO;

ELASTIC RODS; LONGITUDINAL WAVE PROPAGATION; TIME DELAYED SYSTEMS;

WAVE PROPAGATION;

EID: 12344335240     PISSN: 00220434     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1789539     Document Type: Article

References (25)

1. Szabó, I., 1977, Geschichte der mechanischen Prinzipien und ihrer Wichtigsten Anwendungen, Birkhäuser, Basel.
2. 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.
3. Boussinesq. J. 1885, Applications des Potentiels á l'Étude de l'Équilibre et du Mouvement des Solides Élastiques, Gauthier-Villars, Paris.
4. Donnell, L. H., 1930, "Longitudinal Wave Transmission and Impact," Trans. ASME, 52, pp. 153-167.
5. Goldsmith, W., 1960, Impact: The Theory and Physical Behaviour of Colliding Solids, Edward Arnold Ltd., London.
6. Timoshenko, S. P., and Goodier, J. N., 1970, Theory of Elasticity, McGrawHill.
7. Shi, P., 1997, "Simulation of Impact Involving an Elastic Rod," Comput. Methods Appl. Mech. Eng., 151, pp. 497-499.
8. 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.
9. Hu, B., and Eberhard, P., 2001, "Symbolic Computation of Longitudinal Impact Waves," Comput. Methods Appl. Mech. Eng., 190, pp. 4805-4815.
10. 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.
11. Al-Mousawi, M. M, 1986, "On Experimental Studies of Longitudinal and Flexural Wave Propagations: An Annotated Bibliography," Appl. Mech. Rev., 39, pp. 853-864.
12. 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.
13. 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.
14. 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.
15. 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.
16. Ramamurti, V., and Ramanamurti, P. V., 1977, "Impact on Short Length Bars," J. Sound Vib., 53, pp. 529-543.
17. Maekawa, I., Tanabe, Y., and Suzuki, M., 1988, "Impact Stress in a Finite Rod," JSME Int. J., Ser. 1, 31, pp. 554-560.
18. Feroza, K. T., 1997, "Impact Dynamics of Beams and Panels," dissertation, University of Manchester, School of Engineering, Manchester.
19. 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.
20. 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).
21. Voigt, W., 1883, "Die Theorie des longitudinalen Stosses zylindrischer Stäbe," An. Phy. und Chemie, Series 6, 19, pp. 44-65.
22. Strange, W. J., 2000, Impact Mechanics, Cambridge University Press, Cambridge.
23. 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.
24. Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, New York.
25. Shampine, L., and Reichelt, M., 1997, "The Matlab ODE Suite," SIAM J. Sci. Comput., 18, pp. 1-22.