Polar axisymmetric vibration of a hollow toroid using the differential quadrature method

Journal of Sound and Vibration

Volumn 251, Issue 4, 2002, Pages 761-765

  Jiang, W ^a   Redekop, D ^a  

^a UNIVERSITY OF OTTAWA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; ELASTICITY; EQUATIONS OF MOTION; FINITE ELEMENT METHOD; NUMERICAL METHODS; POISSON RATIO;

DIFFERENTIAL QUADRATURE METHOD; ISOTROPIC TOROIDAL SHELLS; POLAR AXISYMMETRIC VIBRATION; SHELL THEORY; SOFTWARE PACKAGE MATLAB;

VIBRATIONS (MECHANICAL);

EID: 0037018545     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.2001.3865     Document Type: Editorial

References (9)

1. T. Balderes and A. E. Armenakas 1973 American Institute of Aeronautics and Astronautics Journal 11, 1637-1644. Free vibrations of ring-stiffened toroidal shells
2. F. Kosawada, K. Suzuki and S. Takahashi 1986 Bulletin JSME 29, 3036-3042. Free vibrations of thick toroidal shells.
3. A. Y. T. Leung and N. T. C. Kwok 1994 Thin-Walled Structures 18, 317-332. Free vibration analysis of a toroidal shell.
4. R. Gall, F. Tabaddor, D. Robbins, P. Majors, W. Sheperd and S. Johnson 1995 Tire Science Technology 23, 175-188. Some notes on the finite element analysis of tires.
5. D. Redekop 1992 International Journal of Pressure Vessels and Piping 51, 189-209. A displacement solution in toroidal elasticity.
6. D. J. McGill and K. H. Lenzen 1967 SIAM Journal 15, 678-692. Polar axisymmetric free oscillations of thick hollowed tori.
7. W. Jiang M. A. Sc. Thesis, University of Ottawa, in progress. Three-dimensional analysis of anisotropic toroids using the DOM.
8. C. W. Bert and M. Malik 1996 American Society of Mechanical Engineering Journal of Pressure Vessel Technology 118, 1-12. Free vibration analysis of thin cylindrical shells by the differential quadrature method.
9. 1997 ADINA Verification Manual, ARD 97-9. Watertown, MA: ADINA R&D Inc.