Free Vibration Analysis of FGM Cylindrical Shell with Supported Ring Based on Reddy Model under Clamped Boundary Condition

Subject Areas : Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering

محمد رضا عیسوند زیبائی ¹ (دانشجوی دکتری مهندسی مکانیک و عضو هیات علمی دانشگاه آزاد اسلامی واحد اندیمشک)
مهدی سلمان زاده ² (عضو هیات علمی دانشگاه آزاد اسلامی واحد شوشتر)
رسول موسوی‌فر ³ (عضو هیات علمی دانشگاه آزاد اسلامی واحد ایذه.)

Received: 2015-10-03 Accepted : 2015-10-03 Published : 2008-12-21

Keywords: Ring, Vibration, Cylindrical shell, FGM, Hamilton's principle,

Abstract :

In this paper a study on the vibration of thin cylindrical shells with ring supports and made of functionally graded materials (FGMs) composed of stainless steel and nickel is presented. The properties are graded in the thickness direction according to a volume fraction power-law distribution.The cylindrical shells with ring supports which are arbitrarily placed along the shell and impose zero lateral deflections. The study is carried out based on third order shear deformation shell theory (T.S.D.T). The analysis is carried out using Hamilton’s principle. The governing equations of motion of FGM cylindrical shells are derived based on shear deformation theory. Results are presented on the frequency characteristics, influence of ring support position and the influence of clamed-clamped boundary conditions.

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