Wave propagation on helices and hyperhelices: A fractal regression

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 457, Issue 2005, 2001, Pages 33-43

  Fletcher, N H ^a   Tarnopolskaya, T ^a   De Hoog, F R ^b  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^b CSIRO   (Australia)

Author keywords

Helix; Hyperhelix; Spring; Vibrations; Waves

Indexed keywords

EID: 57249102963     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.2000.0654     Document Type: Article

References (11)

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4. Jiang, W., Jones, W. K., Wang, T. L. & Wu, K. H. 1991 Free vibration of helical springs. Trans. ASME 58, 222-228.
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8. Tarnopolskaya, T., de Hoog, F. & Fletcher, N. H. 1999a Low-frequency mode transition in the free in-plane vibration of curved beams. J. Sound Vib. 228, 69-90.
9. Tarnopolskaya, T., de Hoog, F. R., Tarnopolsky, A. & Fletcher, N. H. 1999b Vibration of beams and helices with arbitrarily large uniform curvature. J. Sound Vib. 228, 305-332.
10. Timoshenko, S. & Goodier, J. N. 1951 Theory of elasticity, pp. 391-398. New York: McGraw-Hill.
11. Wittrick, W. H. 1966 On elastic wave propagation in helical springs. Int. J. Mech. Sci. 8, 25-47.