Hamiltonian approach to studying thin shells of revolution made of composite materials |
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Authors: | I V Kireev Yu V Nemirovskii |
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Institution: | 1.Institute of Computational Mathematics,Siberian Branch of the Russian Academy of Sciences,Krasnoyarsk,Russia;2.Khristianovich Institute of Theoretical and Applied Mechanics,Siberian Branch of the Russian Academy of Sciences,Novosibirsk,Russia |
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Abstract: | A method for constructing defining relations of the linear theory of shells of revolution in complex Hamiltonian form has
been proposed. Based on the Lagrange variational principle, we have constructed a mathematical model of a multilayer orthotropic
shell of revolution. We have obtained explicit expressions for the coefficients and right-hand sides of the Hamiltonian complex
system of equations describing the statics of shells of revolution in terms of their rigid characteristics and acting loads.
The Hamiltonian resolving system of linear differential equations, formulated in the axially symmetric case, has some specific
properties facilitating both analytical studies and numerical procedures of their solution. |
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Keywords: | |
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