Fundamental frequency of clamped plates with circularly periodic boundaries

Journal of Sound and Vibration

Volumn 299, Issue 1-2, 2007, Pages 355-362

  Yuce H ^a   Wang, C Y ^a  

^a MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; CLAMPING DEVICES; PERTURBATION TECHNIQUES; VIBRATIONS (MECHANICAL);

FUNDAMENTAL FREQUENCY; PERIODIC BOUNDARIES; POLYGONAL PLATES; VIBRATING PLATES;

PLATES (STRUCTURAL COMPONENTS);

EID: 33749241456     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2006.06.051     Document Type: Article

References (11)

1. A.W. Leissa, Vibration of Plates, NASA SP-160, 1969.
2. Jones R. An approximate expression for the fundamental frequency of vibration of elastic plates. Journal of Sound and Vibration 38 (1975) 503-504
3. Irie T., Yamada G., and Narita Y. Free vibration of clamped polygonal plates. Bulletin of the JSME 21 (1978) 1696-1702
4. Irie T., Yamada G., and Umesato K. Free vibration of regular polygonal plates with simply supported edges. Journal of the Acoustical Society of America 69 (1981) 1330-1336
5. Bhat R.B. Flexural vibration of polygonal plates using characteristic orthogonal polynomials in two variables. Journal of Sound and Vibration 114 (1987) 65-71
6. Wang C.Y. Flow between nested regular polygonal ducts. Chemical Engineering Science 53 (1998) 1107-1109
7. Walkinshaw D.S., and Kennedy J.S. On forced response of polygonal plates. Ingenieur-Archiv 38 (1969) 358-369
8. Irie T., Yamada G., and Sonoda M. An analytical method for determination of natural frequencies of polygonal plates. Journal of Sound and Vibration 85 (1982) 287-291
9. Shahady P.A., Passarelli R., and Laura P.A.A. Application of complex-variable theory to the determination of the fundamental frequency of vibrating plates. Journal of the Acoustical Society of America 42 (1967) 806-809
10. Yu J.C.M. Application of conformal mapping and variational method to study of natural frequencies of polygonal plates. Journal of the Acoustical Society of America 49 (1971) 781-785
11. Gutierrez R.H., Laura P.A.A., and Rossit C.A. Frequency of transverse vibration of regular polygonal plates with a concentric, circular orthotropic patch. Journal of Sound and Vibration 238 2 (2000) 363-367