<正>This paper attempts to provide a semi-analytical solution for the dynamic response of laminated cylindrical arch using the concept of wave propagation in structures and the finite element approach for the quantities depending on radial and axial directions. An arbitrary excitation is considered in both radial and axial directions for generalized plain strain.Anisotropic elasticity is considered in general.Circumferential (hoop) wave propagation is a part of the solution of the problem.Dynamic displacements, stresses in the radial,hoop and shear direction of the laminated arch are derived. The application can be found in the field of parts of tunnel linings,airplanes, submersibles,hangars,etc.Generalized plane strain state substitutes the 3D formulation and solution.We start with Hamiltonian principle in cylindrical coordinate system, derive equations of equilibrium and separate the influence of hoop direction. The problem is formulated for simply supported arches,if clamped edges,or one sided clamped edges should be prescribed,explicit formula from Lechnitski can be used for suppressing undesirable rotations.
Composite laminated arch;;pseudo-three-dimensional cylindrical anisotropy;;generalized plain strain;;dynamic response;;Hamiltonian equations;;semi-analytical solution.
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