hygrothermal vibration characteristics of graphene platelets-reinforced composite doubly-curved panels

In the present article, the vibrational response of a moderately thick doubly-curved panel made of graphene platelets (gpls)-reinforced composites is analyzed. the effect of hygrothermal environment on the structure's frequencies is also considered, and it is located on a two-parameter foundation known as pasternak type. the gpls are dispersed through the thickness direction of the shell based on different given functions. to determine the effective values of shell's properties, both halpin-tsai and extended rule of mixture are employed, and then, using hamilton's principle for dynamic systems and variational formulation, the governing motion equations are derived. next, a closed-form solution based on navier's technique is presented to obtain the natural frequencies and after verifying them with well-known previously published works, the influence of different parameters on them is discussed. the outcomes of this study may be used to design and manufacture more functional engineering structures.