Numerical solutions of forced vibration and whirling of a non-linear string using the theory of a Cosserat point

Journal of Sound and Vibration

Volumn 197, Issue 1, 1996, Pages 85-101

  Rubin, M B ^a   Gottlieb, O ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; FREQUENCIES; MECHANICS; NUMERICAL METHODS; ROTATION;

COSSERAT POINT THEORY; DISCRETIZATION; INERTIA COEFFICIENT; STRING;

VIBRATIONS (MECHANICAL);

EID: 0030263245     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0518     Document Type: Article

References (15)

1. O. O'REILLY and P. J. HOLMES 1992 Journal of Sound and Vibration 153, 413-435. Non-linear, non-planar and non-periodic vibrations of a string.
2. R. NARASIMHA 1968 Journal of Sound and Vibration 8, 134-146. Non-linear vibration of an elastic string.
3. J. MILES 1984 Journal of the Acoustical Society of America 75, 1505-1510. Resonant, nonplanar motion of a stretched string.
4. J. M. JOHNSON and A. K. BAJAJ 1989 Journal of Sound and Vibration 128, 87-107. Amplitude modulated and chaotic dynamics in resonant motion of strings.
5. T. C. A. MOLTENO and N. B. TUFILLARO 1990 Journal of Sound and Vibration 137, 327-330. Torus doubling and chaotic string vibrations: experimental results.
6. M. B. RUBIN 1987 International Journal of Solids and Structures 23, 335-349. On the numerical solution of nonlinear string problems using the theory of a Cosserat point.
7. M. B. RUBIN 1985 Transactions of the American Society of Mechanical Engineers, Journal of Applied Mechanics 52, 368-372. On the theory of a Cosserat point and its application to the numerical solution of continuum problems.
8. M. B. RUBIN 1985 Transactions of the American Society of Mechanical Engineers, Journal of Applied Mechanics 52, 373-378. On the numerical solution of one-dimensional continuum problems using the theory of a Cosserat point.
9. M. B. RUBIN 1995 Journal of Mathematics and Physics (ZAMP) 46, Special Issue, S308-S334; in Theoretical, Experimental, and Numerical Contributions to the Mechanics of Fluids and Solids (J. Casey and M. J. Crochet, editors). Basel: Birkhauser-Verlag. Numerical solution of two-and three-dimensional thermomechanical problems using the theory of a Cosserat point.
10. P. M. NAGHDI 1972 in Flügge's Handbuch Der Physik VI a/2 (C. Truesdell, editor), 425-640. The theory of shells and plates.
11. A. E. GREEN, P. M. NAGHDI and M. L. WENNER 1974 Proceedings of the Royal Society of London A337, 451-483. On the theory of rods, I: derivations from the three-dimensional equations.
12. A. E. GREEN, P. M. NAGHDI and M. L. WENNER, 1974 Proceedings of the Royal Society of London A337, 485-507. On the theory of rods, II: developments by direct approach.
13. M. B. RUBIN 1986 Transactions of the American Society of Mechanical Engineers, Journal of Applied Mechanics 53, 45-50. Free vibration of a rectangular parallelepiped using the theory of a Cosserat point.
14. A. H. NAYFEH and D. T. MOOK 1979 Nonlinear Oscillations New York: John Wiley.
15. O. O'REILLY 1995 personal communication.