Free vibration of a string with moving boundary conditions by the method of distorted images

Journal of Sound and Vibration

Volumn 194, Issue 1, 1996, Pages 35-47

  Ram, Y M ^a   Caldwell, J ^b  

^a UNIVERSITY OF ADELAIDE   (Australia)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED FORM ALGORITHM; D'ALEMBERT SOLUTION; DISTORTED IMAGE METHOD; STRING; TENSION;

ALGORITHMS; BOUNDARY CONDITIONS; DYNAMICS; NUMERICAL METHODS; PROBLEM SOLVING; STRESSES; SUPPORTS; VELOCITY;

VIBRATIONS (MECHANICAL);

EID: 0030568671     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1996.0342     Document Type: Article

References (7)

1. Y. M. RAM and J. CALDWELL 1993 International Journal of Mathematical Education in Science and Technology 24, 113-119, The free vibration of the finite string by the method of images.
2. F. R. ARCHIBALD and A. G. EMSLIE 1958 Transactions of the American Society of Mechanical Engineers, Journal of Applied Mechanics 25, 347-248, The vibration of a string having a uniform motion along its length.
3. S. MAHALINGAM 1957 British Journal of Applied Physics 8, 145-148. Transverse vibrations of power transmission chains.
4. H. F. WEINBERGER 1965 A first course in partial differential equations. Massachusetts: Blaisdell.
5. Y. M. RAM and J. CALDWELL 1995 Canadian Applied Mathematics Quarterly. 3(4), 445-471. The free vibrations of an axially moving string in a bounded region.
6. J. R. OCKENDON and A. B. TAYLER 1971 Proceedings of the Royal Society London A322, 447-468, The dynamics of a current collection system for an electric locomotive.
7. J. COOPER 1993 Journal of Mathematical Analysis and Applications 174, 67-87, Asymptotic behavior for the vibrating string with a moving boundary.