Free vibration response of functionally graded carbon nanotubes double curved shell and panel with piezoelectric layers in a thermal environment

Abstract

This paper presents free vibration of the double-curved shells and panels with piezoelectric layers in a thermal environment. Vibration characteristics of elliptical, spherical, cycloidal, and toro circular shells of revolution are studied in detail. These structures are made of a based carbon nanotubes (CNTs) core and piezoelectric layers at the upper and lower surfaces. It is supposed that temperature changes linearly through the thickness direction. Reissner-Mindlin and the first order shear deformation (FSDT) theories are implemented to derive the governing equations of the considered structures. The distribution of nanotubes is assumed to be linear along the thickness direction. For solving the equation, the General Differential Quadrature (GDQ) method is implemented to investigate the dynamic behavior of the structures. Finally, the effects of the boundary conditions, the thickness of piezoelectric layers, the functional distribution of CNTs, thermal environment and kinds of the circuit (opened-circuit and closedcircuit) are analyzed. Eigenvalue system is solved to obtain natural frequencies. It is delineated that the obtained fundamental frequency by the closed -circuit is smaller than those obtained by the opened-circuit. Another interesting result is that the natural frequency is decreased by increasing temperature.

A general electroelastic analysis of piezoelectric shells based on levy-type solution and eigenvalue-eigenvector method

“…They found that an increase in in-homogeneous index of sensor and actuators leads to an increase in natural frequencies. Khorshidi et al [ 17 ] developed the general formulation for dynamic response analysis of the various geometric shells integrated with piezoelectric layers reinforced with carbon nanotubes. The responses were obtained for different geometries such as cycloidal, spherical, elliptical, and toro-circular shell of revolution based on Mindlin plate theory.…”

On the mechanical properties and vibrational characteristics of the nanoparticle-reinforced composite cylindrical panels in the acidic environment: Numerical and experimental investigation

“…For determining the vibration characteristics of composite shells and panels in the presence of nanoparticles, numerical and experimental methods have been employed by many researchers. [35][36][37][38][39][40] Kamarian et al 41 analyzed the vibration characteristics of conical shells based on firstorder shear deformation theory (FSDT) in the presence of agglomerated CNTs using the generalized differential quadrature (GDQ) method. Das et al 42 studied the buckling and vibration of randomly distributed CNT-reinforced composite beams in the presence of thermomechanical loading.…”