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Large Amplitude Free Vibration of Sandwich Parabolic Plates
Published in Arabinda Roy, Rasajit Kumar Bera, Linear and Non-Linear Deformations of Elastic Solids, 2019
Arabinda Roy, Rasajit Kumar Bera
The first significant contribution to an understanding of the behaviour of sandwich plates was presented by Reissner (1948), who showed the effect of shear deformations and core compressions which differentiate the sandwich theory from the ordinary plate theory based on the Kirchhoff-Love assumption. Pal and Bera (2001) developed a simple and sufficiently accurate method combining the concepts of Mazumdar (1970) and Banerjee (1981) to discuss the large amplitude free vibration of sandwich parabolic plates. Many other authors like Kamiya (1976), Nowinski and Ohnabe (1973) and Dutta and Banerjee (1991) have also discussed sandwich plates.
Analysis of low velocity impact on curved sandwich beams with FML face sheets and flexible core
Published in Mechanics of Advanced Materials and Structures, 2022
To investigate the dynamic behavior of a curved sandwich beam with FML face sheets, the deformation of face sheets are modeled by higher Order Sandwich Theory (HOST), also the core is a two-dimensional object that can be compressed. Using the strain-displacement and stress-strain relation and compatibility conditions between core and face sheets, the displacement field of the core is determined. To obtain the equations of the face sheets and the core, as shown in Figure 1, the curved sandwich beam with width and arc length is considered. The beam consists of a core with height and symmetrical face sheets at the top and bottom with thickness and respectively. The subscript and is used for the top face sheet, bottom face sheet, and the core, respectively. The core is fitted to the beam and it is assumed under radial and transverse shear stresses. In sandwich structures, the relative ratio of the core thickness to the face sheets is relatively large, and therefore in the line of circumferential, the resistance of the core is neglected compared to face sheets. The core is fully bonded to the symmetrical face sheets and the external load is assumed to be a single transverse impact with a spherical, elastic, and isotropic impactor that is perpendicular to the upper face sheet of the curved sandwich beam.