Postbuckling and postbuckled vibration analysis of sandwich plates under non-uniform mechanical edge loadings

Postbuckling and postbuckled vibration characteristics of sandwich plate subjected to non-uniform in-plane loadings is investigated in this article. The core compressibility effects are considered in the model by assuming fourth and fifth order expansions for the transverse and tangential displaceme...

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Bibliographic Details
Published in:International journal of mechanical sciences 2016-09, Vol.115-116, p.226-237
Main Authors: Dey, Tanish, Kumar, Rajesh, Panda, Sarat Kumar
Format: Article
Language:English
Subjects:
Buckling
Core compressibility
Edge loading
Eigenvalues
Galerkin methods
Mathematical models
Non-uniform loading
Nonlinearity
Panels
Plates
Postbuckled vibration
Postbuckling
Sandwich plate
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Summary:Postbuckling and postbuckled vibration characteristics of sandwich plate subjected to non-uniform in-plane loadings is investigated in this article. The core compressibility effects are considered in the model by assuming fourth and fifth order expansions for the transverse and tangential displacement of the core. The exact stress distributions within the panel are determined by panel prebuckling analysis for the applied parabolic and partial edge loadings. Multi-term Galerkin's method is employed to reduce the governing partial differential equation to a set of non-linear ordinary differential equations in the case of dynamic analysis and to a set of non-linear algebraic equations in the case of static stability analysis. Newton-Raphson method in conjunction with Riks approach is used to trace the postbuckling path. Free vibration frequencies of the sandwich plate about a static equilibrium state are obtained by solving the associated linear eigenvalue problem. From numerical study it is observed that the postbuckling path becomes more softening type with increase of aspect ratio. Moreover, unloaded fixed edge of SCSC sandwich plate gives more rigidity than unloaded simply supported edge of CSCS. The prebuckling and postbuckling frequency increases with increase in edge restraint, and in postbuckling range, frequency increases with increase of in-plane load. •Stability and vibration analysis of sandwich plates using multilayer theory.•Explicit expressions of prebuckling stresses under non-uniform in-plane loadings.•Different boundary conditions are considered using beam functions.•Multi-term Galerkin׳s method is employed.
ISSN:0020-7403
1879-2162
DOI:10.1016/j.ijmecsci.2016.06.025