A finite-element analysis is carried out for small-amplitude free vibration of laminated, anisotropic, rectangular plates having arbitrary boundary conditions, finite thickness shear moduli, rotatory inertia, and bimodulus action (different elastic properties depending upon whether the fiber-direction strain is tensile or compressive). The element has five degrees of freedom, three displacements and two slope functions, per node. An exact closed-form solution is also presented for the special case of freely supported single-layer orthotropic and two-layer, cross-ply plates. This solution provides a benchmark to evaluate the validity of the finite-element analysis. Both solutions are compared with numerical results existing in the literature for special cases (all for ordinary, not bimodulus, materials), and good agreement is obtained.
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June 1981
Research Papers
Vibration of Thick Rectangular Plates of Bimodulus Composite Material
C. W. Bert,
C. W. Bert
School of Aerospace, Mechanical, and Nuclear Engineering, The University of Oklahoma, Norman, Okla. 73019
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J. N. Reddy,
J. N. Reddy
School of Aerospace, Mechanical, and Nuclear Engineering, The University of Oklahoma, Norman, Okla. 73019
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W. C. Chao,
W. C. Chao
School of Aerospace, Mechanical, and Nuclear Engineering, The University of Oklahoma, Norman, Okla. 73019
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V. S. Reddy
V. S. Reddy
School of Aerospace, Mechanical, and Nuclear Engineering, The University of Oklahoma, Norman, Okla. 73019
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C. W. Bert
School of Aerospace, Mechanical, and Nuclear Engineering, The University of Oklahoma, Norman, Okla. 73019
J. N. Reddy
School of Aerospace, Mechanical, and Nuclear Engineering, The University of Oklahoma, Norman, Okla. 73019
W. C. Chao
School of Aerospace, Mechanical, and Nuclear Engineering, The University of Oklahoma, Norman, Okla. 73019
V. S. Reddy
School of Aerospace, Mechanical, and Nuclear Engineering, The University of Oklahoma, Norman, Okla. 73019
J. Appl. Mech. Jun 1981, 48(2): 371-376 (6 pages)
Published Online: June 1, 1981
Article history
Received:
June 1, 1980
Revised:
October 1, 1980
Online:
July 21, 2009
Citation
Bert, C. W., Reddy, J. N., Chao, W. C., and Reddy, V. S. (June 1, 1981). "Vibration of Thick Rectangular Plates of Bimodulus Composite Material." ASME. J. Appl. Mech. June 1981; 48(2): 371–376. https://doi.org/10.1115/1.3157625
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