Abstract
Two approaches to the investigation of the stress-strain state and of free vibration frequencies of laminate panels with gently curved orthotropic layers are elaborated. The first approach is based on the analytical separation of variables, and in the second one the variables are approximated with respect to the transverse coordinate by the polynomials obtained from the Ambartsumyan iteration approach. Since the unknown functions in this approximation are related to the front surfaces of the structure, the panel can be divided, if necessary, into separate strips across the thickness with a rigid or sliding contact between them. The displacements on the lower surface can be excluded.
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Ukrainian Transport University, Kiev, Ukraine. Translated from Mekhanika Kompozitnykh Materialov, Vol. 35, No. 4, pp. 423–434, 1999.
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Marchuk, A.V., Piskunov, V.G. Statics, dynamics, and stability of composite panels with gently curved orthotropic layers. 1. Statics and vibrations. Mech Compos Mater 35, 285–292 (1999). https://doi.org/10.1007/BF02259716
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DOI: https://doi.org/10.1007/BF02259716