Forced Vibration of Functionally Graded Porous Conical Panel Reinforced with Graphene Platelets

The current study investigates the forced vibration behavior of a functionally graded porous conical panel reinforced with graphene platelets under a uniform extended load. The displacement field in the conical panel is modeled using first-order shear deformation theory. The elasticity modulus of the composite media is estimated using the Halpin-Tsai rule, which incorporates the size of reinforcements. The simple rule of mixtures is employed for determining Poisson’s ratio and mass density. The governing motion equations of the panel are derived using the Ritz method, with shape functions constructed via Chebyshev polynomials. The Newmark time marching scheme is utilized to track the displacement field in the time domain. The study's results are initially validated against existing data, and subsequently, new numerical results are obtained to analyze the impact of GPL weight fraction, semi-vertical angle, and cone dimensions. These results indicate that, with the GPL weight fraction held constant, an increase in panel flexibility leads to higher forced vibration amplitudes but lower frequencies. Additionally, reducing the semi-vertical angle decreases the displacement range of the panel's center, while increasing R۱/h significantly amplifies the forced vibration range.

کلیدواژه ها:

Graphene Platelets ، Force Vibration ، porous Conical Panel ، Ritz method ، Chebyshev polynomials