Free Damped Vibration of Rotating Truncated Conical Sandwich Shells Using an Improved High-Order Theory

Abstract

In the present paper, an improved high-order theory is employed to study the free vibration of rotating truncated sandwich conical shells with laminated face sheets and a soft core. The formulation is based on a three-layer sandwich model. First-order shear deformation theory (FSDT) is used for face sheets and quadratic and cubic functions are assumed for transverse and in-plane displacements of the core, respectively. The governing equations of motion are derived according to the Hamilton's principle. Also, continuity conditions of the displacements at the interfaces, as well as transverse flexibility, transverse normal strain and stress of the core have been considered. Analytical solution for free vibration of simply supported sandwich conical shells is presented using Galerkin's method. Effect of some geometrical parameters is also studied on the fundamental frequency of the sandwich shells. Comparison of the present results with those in the literature confirms the accuracy of the proposed theory.

Meshless Chebyshev RPIM Solution for Free Vibration of Rotating Cross-Ply Laminated Combined Cylindrical-Conical Shells in Thermal Environment

“…In the aerospace field, laminated shell structures are widely used in the shell structures of gas turbines and high-power aircraft engines [ 1 , 2 , 3 , 4 , 5 ]. In these high-end fields, the vibration of the structure will bring huge economic losses, so it is necessary to study its free vibration behavior before designing such a structure.…”

An alternative finite strain elastoplastic model applied to soft core sandwich panels simulation

“…In order to find recent reviews readers are invited to consult, for example, the work of Abrate and Di Sciuva (2017) for general Equivalent-Single-Layer theories (ESL), Caliri et al (2016) for FEM shell theories, Garg et al(2021) to access theories including functionally graded materials, Nsengiyumva et al (2021) for a review associated with non-destructive experimental analysis and the work of Sayyad and Ghugal (2017) for vibrations and stability of laminated beams and plates. Some current works of great interest and related to the present study can be also cited, for example, the work of Icardi and Urraci (2019) regarding sandwich panels vibration, Chen et al (2016) related to impact analysis, Marques et al (2018) for structural health monitoring and Naik and Sayyad (2018) and Shekari et al (2017) for general plate theories.…”

Active vibration control of rotating laminated composite truncated conical shells through magnetostrictive layers based on first-order shear deformation theory

“…Dai et al [26] have studied the vibration of rotating conical shells using Love first approximation theory and the Haar wavelet method. Shakeri et al [27] have investigated the free vibration of rotating sandwich conical shells. Talebitooti [28] has employed an approximate solution to study the effects of thermal load on the frequency of ring-stiffened rotating functionally graded conical shells.…”