Vibrations and dynamic stability of cellular plate. (English) Zbl 1165.74023
Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference on numerical analysis and applied mathematics 2008, Psalidi, Kos, Greece, 16–20 September 2008. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0576-9/hbk). AIP Conference Proceedings 1048, 372-375 (2008).
Summary: Subject of the paper is a circular plate under radial compression. The plate is made of the metal foam. Properties of the plate vary across its thickness, and the middle plane of the plate is its symmetry plane. We determine the displacement of any cross-section of the plate and nonlinear components of strain and stress fields. Basing on the Hamilton principle, a system of differential equations of dynamic stability of the plate is formulated. This basic system of equations is approximately solved. The results of the studies are compared to homogeneous circular plate and are shown in figures.
For the entire collection see [Zbl 1151.65004].
For the entire collection see [Zbl 1151.65004].
MSC:
| 74H45 | Vibrations in dynamical problems in solid mechanics |
| 74H55 | Stability of dynamical problems in solid mechanics |
| 74K20 | Plates |
