Uncertain vibration characteristics of Bi-directional functionally graded sandwich nanoplate subjected to dynamic load

Abstract

In this paper, we present a novel approach that combines isogeometric analysis (IGA) with the higher-order shear deformation theory (HSDT) and Monte Carlo simulation (MCS). Our objective is to investigate uncertain vibration characteristics of bi-functionally graded sandwich (BFGSW) nanoplates under dynamic loading. The small-scale effect observed in nanostructures is achieved by employing the nonlocal elasticity theory. This theory allows for the consideration of the mechanical behavior that arises at the nanoscale level. Within the stochastic design approach, the state function for design conditions is commonly formulated by incorporating input random variables, assumed distribution functions, and random responses obtained from computational models. This work primarily focuses on investigating vibrational characteristics of BFGSW nanoplates when the model parameters are considered as random quantities. The obtained results show that distribution characteristics of vibration of the BFGSW nanoplate depend significantly on the standard deviation of input parameters.