Fundamental frequencies of circular plates with internal elastic ring support

Journal of Sound and Vibration

Volumn 263, Issue 5, 2003, Pages 1071-1078

  Wang, C Y ^a   Wang, C M ^b  

^a MICHIGAN STATE UNIVERSITY   (United States)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; FREQUENCIES; NUMERICAL METHODS; PLATE METAL; POISSON RATIO; STIFFNESS;

CIRCULAR PLATES; INTERNAL ELASTIC RING SUPPORT;

VIBRATIONS (MECHANICAL);

EID: 0037531346     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-460X(03)00275-X     Document Type: Letter

References (12)

1. A.J. Mcleod, R.E.D. Bishop, The Forced Vibration of Circular Flat Plates, Mechanical Engineering Science Monograph, Vol. 1, 1965, pp. 1-33.
2. A.W. Leissa, Vibration of plates, NASA SP-160, 1969.
3. G.N. Weisensel, Natural frequency information for circular and annular plates, Journal of Sound and Vibration 133 (1989) 129-134.
4. V.X. Kunukkasseril, A.S.J. Swamidas, Vibration of continuous circular plates, International Journal of Solids and Structures 10 (1974) 603-619.
5. R.Y. Bodine, Vibration of a circular plate supported by a concentric ring of arbitrary radius, Journal of the Acoustical Society of America 41 (1967) 1551.
6. A.V. Singh, S. Mirza, Free axisymmetric vibration of a circular plate elastically supported along two concentric circles, Journal of Sound and Vibration 48 (1976) 425-429.
7. S. Azimi, Free vibration of circular plates with elastic or rigid interior support, Journal of Sound and Vibration 120 (1988) 37-52.
8. Z. Ding, Free vibration of arbitrarily shaped plates with concentric ring elastic and/or rigid supports. Computers and Structures 50 (1994) 685-692.
9. F.S. Chou, C.M. Wang, G.D. Cheng, N. Olhoff, Optimal design of internal ring supports for vibrating circular plates, Journal of Sound and Vibration 219 (1999) 525-537.
10. C.Y. Wang, On the fundamental frequency of a circular plate supported on a ring, Journal of Sound and Vibration 243 (2001) 945-946.
11. S.P. Timoshenko, J.M. Gere, Theory of Elastic Stability, McGraw-Hill, New York, 1961.
12. B. Akesson, N. Olhoff, Minimum stiffness of optimally located supports for maximum value of beam eigenfrequencies, Journal of Sound and Vibration 120 (1988) 457-463.