Wave propagation in carbon nanotube-reinforced nanocomposite doubly-curved shells resting on a viscoelastic foundation

This research aims at studying the propagation of waves in doubly-curved nanoshells made of carbon nanotube-reinforced composite (CNTRC) nanoshell panels while resting on a viscoelastic foundation. For the first time, a nonlocal strain gradient model of first-order shear deformation theory (FSDT) is developed in curvilinear coordinate for the wave propagation analysis of such properties, geometry, and foundation. The effective material properties of four types of CNTs’ distribution are estimated using a modified rule of mixture. The size-dependent governing equations are found using the Hamiltonian principle and after derivation, the equations are solved to find the damped flexural wave responses using a harmonic solving procedure. The results show the influence of viscoelastic foundation parameters, small-scale parameters, CNTs’ distribution schemes, and weight fraction of CNTs on the wave behavior of CNTRC doubly-curved shells with spherical, hyperbolic, cylindrical, and elliptical panels.