Forced vibration analysis of anisotropic curved panels via a quasi-3D model in orthogonal curvilinear coordinate

Abstract

The present work involves a quasi-3D model in curvilinear coordinate to analyze time-dependent transversal deflection in aragonite curved nano-size panels. Eringen nonlocal deferential model has supported the small-scale phenomenon in nano-sized structures. To predict the effective elastic matrix ingredients in functionally graded aragonite panels, a function reported for anisotropic materials with an exponential variation in elastic properties through-thickness direction are utilized. Then, governing motion equations accounting for fourfold coupled (axial-shear-bending–stretching) components are gained on the basis of Hamilton statement and solved for simply-supported curved panel analytically. Ultimately, the sensitivity of transversal deflection and stresses to exponential factor, geometrical conditions, different curves, and nonlocality versus time are discussed in detail This work also supports a comparison between anisotropy and isotropic approximation to quantify the accuracy of replacing models to decrease the complexity; the differences in central deflection can grow up to 15%.