A general analysis of the mixed systems of four equations in Kirchhoff’s theory of the vibrations of plates in rectangular and polar coordinates is carried out. It is shown that these systems can be represented in Hamiltonian (canonical) operator form in space coordinate after the selection of the appropriate “canonical” variables and operator Hamiltonian. Functionals for canonical systems are formulated
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Translated from Prikladnaya Mekhanika, Vol. 49, No. 2, pp. 82–89, March–April 2013.
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Shul’ga, N.A. Mixed System of Equations in Kirchhoff’s Theory of the Transverse Vibrations of Plates. Int Appl Mech 49, 203–210 (2013). https://doi.org/10.1007/s10778-013-0560-3
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DOI: https://doi.org/10.1007/s10778-013-0560-3