Abstract
For the first time, the bending analysis of a double curved sandwich panel was presented which was subjected to point load, uniform distributed load on a patch, and harmonic distributed loads and was based on a new improved higher order sandwich panel theory. Since the cross-sectional warping was accurately modeled by this theory, it did not require any shear correction factor. Also, the present analysis incorporated trapezoidal shape factor (the 1+z/R terms) of a curved panel element. Geometry was used for the consideration of different radii curvatures of the face sheets, while the core was unique. Unlike most of other reference works, the core can have non-uniform thickness. The governing equations were derived by the principle of minimum potential energy. The effects of types of boundary conditions, types of applied loads, core to panel, and radii curvatures ratios on the bending response were also studied.
Highlights
Sandwich plates are widely used in many engineering applications such as aerospace, automobile, and ship building because of their high strength and stiffness, low weight and durability
To validate the present results and demonstrate their capability in predicting the static bending analysis of a doubly curved composite sandwich panel, some examples are presented and the results obtained from the present theory are compared with the recent theoretical and numerical results found in the literature
There is no research about the bending analysis of a doubly curved sandwich structure to validate the obtained results, sandwich structures were modeled in ABAQUS FE code and the results from the analytical formulations were compared with FE code
Summary
Sandwich plates are widely used in many engineering applications such as aerospace, automobile, and ship building because of their high strength and stiffness, low weight and durability. Rahmani et al (2009) applied a higher order sandwich panel theory to study the free vibration analysis of an open single curved composite sandwich panel with a flexible core They used the classical shell theory and an elasticity theory for the face sheets and the core, respectively. Carrera and Brischetto (2009) used classical plate, zig-zag, and high order theories and studied the bending of open single curved composite sandwich panels Using these theories, they studied the effects of geometrical parameters (length to thickness ratio) and mechanical parameters (face sheets to core stiffness ratio) on the bending response and concluded that the higher order theories could increase the accuracy of the obtained results. The kinematic relations of the core for doubly curved sandwich panels based on small deformations are:
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