Vibration And Stability Of Fluid-filled Functionally Graded Cylindrical Shells

Functionally graded cylindrical shell, FG cylindrical shell for short, is a new kindof compound structure made of functionally graded material. Because of the excellentperformance of functionally graded material, FG cylindrical shell has been widelyused for aerospace, cars, nation defense and chemical industry. The mechanicalbehavior of FG cylindrical shell is an important research direction in mechanicsresearch field.In chapter2to4, the vibration characteristics of empty FG cylindrical shell, fluid-filled FG cylindrical shell and submerged FG cylindrical shell are presented. Sincecritical pressure has significant impact on the mechanics characteristics of submergedFG cylindrical shell, the further research about the stability of FG cylindrical shellsubject to hydrostatic pressure is obtained in chapter5.The contents of this article include:1. Based on Love‘s thin theory and Rayleigh-Ritz method, the shelleigenfrequency equations with simply supported ends and clamped-free end arederived. The influences of shell size, constituent materials and volume fraction on thenatural frequencies of FG cylindrical shell with two kinds of boundary conditions areillustrated by examples.2. By considering the influence of boundary condition, the wave propagationmethod is applied in chapter3. Then the curves of natural frequency of fluid-filled FGcylindrical shell with different boundary conditions are obtained. On the base of thestudy of influence on natural frequency, the effects of various factors of shells onnatural frequency are discussed.3. Based on the Flügge’s shell theory and wave propagation method, the naturalfrequency of submerged FG cylindrical shell with the hydrostatic pressure effect isderived. On the base of verifying its effectiveness, the influences of hydrostaticpressure, shell size, boundary condition, constituent materials, volume fraction and axial half wave number on natural frequency are given.4. By considering chapter4, the critical hydrostatic pressure can be derived whilethe natural frequency is assumed to be zero by using linear fitting method. Results arecompared to known solutions, where these solutions exist. Then the effects of multipleinfluential factors on critical pressure are obtained.