Free vibration analysis of rotating fiber–metal laminate circular cylindrical shells

Abstract

In this article, free vibration of rotating fiber–metal laminate thin circular cylindrical shells has been analyzed. Strain–displacement relations have been obtained based on Love’s first approximation shell theory. The variations of frequencies of the fiber–metal laminate cylindrical shell with rotational speeds for different axial and circumferential wave numbers, L/R ratios, metal thicknesses and volume fractions of metal have been presented. Also, free vibrations of the rotating fiber–metal laminate shell have been studied for carbon/epoxy, glass/epoxy and aramid/epoxy composite materials combining thin aluminum layers. The results showed that with increasing rotating speed, the gap between backward and forward waves frequencies increased.

Investigations on dynamic analysis and free vibration of FGMs rotating circular cylindrical shells

“…The Navier's solution procedure is expressed for simplysupported boundary condition as follows [3,27]…”

“…Ghasemi and Mohandes [27] studied free vibration analysis of rotating fiber-metal laminate (FMLs) thin circular cylindrical shells based on Love's first approximation shell theory. Also, they [28] investigated free vibration of FMLs thin circular cylindrical shells with different boundary conditions based on Love's first approximation shell theory and beam modal function model.…”

A Unified Approach of Free Vibration Analysis for Stiffened Cylindrical Shell with General Boundary Conditions

“…Once the admissible displacement functions and energy functions of the stiffened cylindrical shell are established, the following tasks are to determine the coefficients in the admissible functions. In light of (12) and (14), the Lagrange energy function can be indicated in terms of kinetic energy and potential energy of the stiffened cylindrical shell as = −…”

“…The current shell deformation theories on model formulation are mainly classified into three categories: Classical Shell Deformation Theory (CSDT), First-order Shear Deformation Theory (FSDT), and Higher-order Shear Deformation Theory (HSDT). In view of the Kirchhoff-Love assumptions, CSDT neglects neglect of transverse shear strains and possesses the advantages of simple calculation tasks [14]. To date, various subcategory CSDTs were derived and employed in vibration analysis of thin cylindrical shells [15,16].…”

Experimental investigation of free vibration analysis on fibre metal composite laminates

“…Fibre metal laminates (FML) [5][6][7][8][9] consists of alternating layers of fibre reinforced polymer composites and metal alloys [10,11]. FMLs have improved resistance to impacts and environmental conditions due to the outer aluminium alloy layers [12][13][14][15]. Until now, FML is most popular and it is presently used for manufacturing of most part of aerospace structural component such as the aircraft engine cowlings, cargo floor and containers and seamless tube.…”