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- W2375349841 abstract "The duality system is introduced for the problem of elastic cylinders with transverse isotropy. The dual equations and conditions of the corresponding boundary are obtained directly in the symplectic space. The problem is reduced to the symplectic eigensolutions, which include the zero eigenvalue solutions and all their Jordan normal forms of the corresponding Hamiltonian matrix operators and the non-zero eigenvalue solutions. With the aid of the sub-symplectic system, analytic expressions of eigensolutions are obtained. Thus a completed space of eigensolutions is established. The local boundary layer effects, which are usually neglected according to the Saint-Venant principle, are described by eigensolutions, or non-zero eigenvalues give the decay rates and the corresponding eigensolutions the characteristics of displacements and stresses to non-uniformity of loads on the ends of the cylinder. The symplectic method gives a direct way for solving the similar problems and provides the basis for simplifying the practicable engineering problem." @default.
- W2375349841 created "2016-06-24" @default.
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- W2375349841 date "2005-01-01" @default.
- W2375349841 modified "2023-09-25" @default.
- W2375349841 title "A method of symplectic eigensolutions in elastic transverse isotropy cylinders" @default.
- W2375349841 hasPublicationYear "2005" @default.
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