Frequency relationship between Levinson plates and classical thin plates

Mechanics Research Communications

Volumn 26, Issue 6, 1999, Pages 687-692

  Wang, C M ^a   Kitipornchai, S ^b  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; EQUATIONS OF MOTION; LAPLACE TRANSFORMS; MATHEMATICAL OPERATORS; PLATES (STRUCTURAL COMPONENTS); POLYNOMIALS; SHEAR DEFORMATION; SHEAR STRESS; STRUCTURAL ANALYSIS;

KIRCHHOFF PLATE THEORY; LEVINSON PLATE THEORY; MINDLIN PLATE THEORY; REDDY PLATE THEORY;

VIBRATIONS (MECHANICAL);

EID: 0033224774     PISSN: 00936413     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0093-6413(99)00079-8     Document Type: Article

References (8)

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2. J.N. Reddy, A Simple Higher-Order Theory for Laminated Composite Plates, J. Appl. Mech., 51, 745-752 (1984).
3. M. Levinson, An Accurate, Simple Theory of the Statics and Dynamics of Elastic Plates, Mech. Res. Comm., 7, 343-350(1980).
4. M. Levinson, A New Rectangular Beam Theory, J. Sound Vibr., 74(1), 81-87 (1981).
5. M. Levinson, Consistent and Inconsistent Higher Order Beam and Plate Theories: Some Surprising Comparisons in "Refined Dynamical Theories of Beams, Plates and Shells and their Applications," Proceedings of the Euromech-Colloquium 219, edited by I. Elishakoff and H. Irretier, Springer-Verlag, Berlin, 122-130 (1987).
6. D. Pnueli, Lower Bounds to the Gravest and All Higher Frequencies of Homogeneous Vibrating Plates of Arbitrary Shape, J. Appl. Mech., 42, 815-820 (1975).
7. K.M. Liew, C.M. Wang, Y. Xiang, and S. Kitipornchai, Vibration of Mindlin Plates, Elsevier, Oxford (1998).
8. A.W. Leissa, Vibration of Plates, U.S. Government Printing Office, NASA SP-160 (1969).