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- Title
Forced Vibration of Three-Layered Spherical and Ellipsoidal Shells under Axisymmetric Loads.
- Authors
Shul'ga, N. A.; Meish, V. F.
- Abstract
A variant of vibration theory for three-layered shells of revolution under axisymmetric loads is elaborated by applying independent kinematic and static hypotheses to each layer, with account of transverse normal and shear strains in the core. Based on the Reissner variational principle for dynamic processes, equations of nonlinear vibrations and natural boundary conditions are obtained. The numerical method proposed for solving initial boundary-value problems is based on the use of integrodifferential approach for constructing finite-difference schemes with respect to spatial and time coordinates. Numerical solutions are obtained for dynamic deformations of open three-layered spherical and ellipsoidal shells, over a wide range of geometric and physical parameters of the core, for different types of boundary conditions. A comparative analysis is given for the results of investigating the dynamic behavior of three-layered shells of revolution by the equations proposed and the shell equations of Timoshenko and Kirhhoff-Love type, with the use of unified hypotheses across the heterogeneous structure of shells.
- Subjects
AXIAL flow; BOUNDARY value problems; ELLIPSOIDS; SPHERICAL trigonometry; DIFFERENTIAL equations; FLUID dynamics
- Publication
Mechanics of Composite Materials, 2003, Vol 39, Issue 5, p439
- ISSN
0191-5665
- Publication type
Article
- DOI
10.1023/B:MOCM.0000003294.75072.58