The present paper examines the possibility of evaluating the elastic constants of specially orthotropic rectangular thin plates from the measured natural frequencies of cantilever plates. An expression is developed for orthotropic rectangular thin cantilever plates to determine natural frequencies, and its validity is demonstrated through finite element analysis as well as using published test results.
YOUNGD.: Trans. ASME J. Appl. Mech., 1950, 17, 448–453.
2.
LEISSAA. W.: ‘Vibration of plates’, NASA-SP-160; 1969, Washington, DC, US Government Printing Office.
3.
WEARINGJ. L. and PATTERSONC.: Proc. Int. Conf. on ‘Composites structures’, (ed.MarshallI. H.), 463-474; 1981, London, Applied Science Publishers.
4.
DEOBALDL. R. and GIBSONR. F.: J. Sound Vib., 1988, 124, 269–283.
5.
AYORINDEE. O. and GIBSONR. F.: Compos. Eng., 1993,3, 395–407.
6.
MCINTYREM. E. and WOODHOUSEJ.: Acta Metall., 1988, 36, 1397–1416.
7.
MOTA SOARESC. M., MOREIRAM.FREITASDE, ARAUJOA. L. and PEDERSONP.: Compos. Struct., 1993, 25,277–285.
8.
DEWILDEW. P., NARMONB., SOLH. and ROOVERSM.: Proc. 2nd Int. ‘Modal analysis’ Conf., Orlando, FL, USA, February 1984, Union College, Schenectady (NY), Vol. 1, 44–99.
9.
DEWILDEW. P., SOLH. and OVERMEIREM. VON: Proc. 4th Int. ‘Modal analysis’ Conf., Los Angeles, CA, USA, February 1986, Union College, Schenectady (NY), Vol. 2, 1058–1063.
10.
SOLH.‘Identification of anisotropic plate rigidities using free vibration data’, Doctoral dissertation, University of Brussels, Belgium, 1986.
11.
MOUSSUF. and NIVOITM.: J. Sound Vib., 1993, 165, 149–163.
12.
GORMAND. J.: ‘Free vibration analysis of rectangular plates’; 1982, New York, Elsevier-North Holland.
13.
GORMAND. J.: J. Sound Vib., 1978, 57, 437–447.
14.
GORMAND. J.: J. Sound Vib., 1990, 140, 391–411.
15.
GREDIACM. and PARISP. A.: J. Sound Vib., 1996, 195, 401–415.
