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- Title
Three-Dimensional Solution of the Free Vibration Problem for Metal-Ceramic Shells Using the Method of Sampling Surfaces.
- Authors
Kulikov, G.; Plotnikova, S.
- Abstract
The possibility of using the method of sampling surfaces (SaS) for solving the free vibration problem of threedimensional elasticity for metal-ceramic shells is studied. According to this method, in the shell body, an arbitrary number of SaS parallel to its middle surface are selected in order to take displacements of these surfaces as unknowns. The SaS pass through the nodes of a Chebyshev polynomial, which improves the convergence of the SaS method significantly. As a result, the SaS method can be used to obtain analytical solutions of the vibration problem for metal-ceramic plates and cylindrical shells that asymptotically approach the exact solutions of elasticity as the number of SaS tends to infinity.
- Subjects
THREE-dimensional printing; FREE vibration; STRUCTURAL shells; CERAMIC materials; MECHANICAL properties of metals; SURFACES (Physics)
- Publication
Mechanics of Composite Materials, 2017, Vol 53, Issue 1, p31
- ISSN
0191-5665
- Publication type
Article
- DOI
10.1007/s11029-017-9638-z