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Free vibration of cross-ply laminated beams with arbitrary boundary conditions. (English) Zbl 0899.73264

Summary: Analytical solutions of refined beam theories are developed to study the free vibration behavior of cross-ply rectangular beams with arbitrary boundary conditions in conjunction with the state space approach. The study concludes that the disagreement between different shear deformation theories is much less than the disagreement between any of them and Euler-Bernoulli theory.

MSC:

74H45 Vibrations in dynamical problems in solid mechanics
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
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