Dynamic extended high order sandwich panel theory for transient response of sandwich beams with carbon nanotube reinforced face sheets

The dynamic version of the Extended High Order Sandwich Panel Theory (EHSAPT) for a sandwich beam with soft core and carbon nanotube reinforced composite (CNTRC) face sheets is first formulated. Distribution of fibers through the thickness of the face sheets could be uniform or functionally graded (FG). The influences of boundary conditions on dynamic response of the sandwich panel are investigated. In each type of boundary condition the effects of nanotube volume fraction and their distribution pattern, core-to-face sheet thickness ratio, on many essential involved parameters of the sandwich beam with functionally graded carbon nanotube reinforced composite (FG-CNTRC) face sheets are studied in detail. The results for a transient displacement of sandwich beam with isotropic face sheets reveal that the EHSAPT is very accurate during the initial, transient phase of dynamic loading in comparison with conventional high order sandwich panel theory (HSAPT). Finally, it is concluded that the sandwich beam with V distribution figure of face sheets is the strongest and the smallest transverse displacement, followed by the X, UD, O and ∧-ones, respectively.