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Load and frequency interaction in dynamic buckling of soft‐core sandwich plates and shells
Author(s) -
Hohe Jörg
Publication year - 2010
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201010075
Subject(s) - buckling , shell (structure) , natural frequency , core (optical fiber) , galerkin method , compressibility , structural engineering , sandwich structured composite , transverse plane , materials science , linearization , mechanics , physics , finite element method , composite material , nonlinear system , engineering , vibration , acoustics , quantum mechanics
The present study is concerned with an analysis of load‐frequency interaction effects in the dynamic buckling response of soft‐core sandwich plates and shells. Based on a higher‐order geometrically non‐linear sandwich shell theory in conjunction with an extended Galerkin procedure, a mathematical model together with analytical solution for simply supported sandwich plates and shells with with rectangular projection is obtained. By linearization of the non‐linear solution with respect to the oscillating parts, the interaction of the natural frequencies with static preloads can be analyzed. The results reveal that the transverse compressibility of soft sandwich cores might have distinct effects on the natural frequencies. (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)