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Nonlinear Dynamic of Functionally Graded Cylindrical Shells Under the Thermalmechanical Loads

[+] Author Affiliations
Wei Zhang

Beijing University of Technology, Beijing, China

Yu-xin Hao

Beijing Information Science and Technology University, Beijing, China

Paper No. IMECE2009-10044, pp. 331-336; 6 pages
  • ASME 2009 International Mechanical Engineering Congress and Exposition
  • Volume 15: Sound, Vibration and Design
  • Lake Buena Vista, Florida, USA, November 13–19, 2009
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4388-8 | eISBN: 978-0-7918-3863-1
  • Copyright © 2009 by ASME


An analysis on nonlinear vibrations of a simply supported functionally graded materials (FGM) cylindrical shell at its two ends which subjected to the radial excitation in the uniform thermal environment is presented for the first time. Materials properties of the constituents are graded in the thickness direction according to a power-law distribution. In the framework of the First-order shear deformation shell theory, the nonlinear governing equations of motion for the functionally graded materials cylindrical shell is derived by using the Hamilton’s principle. The Galerkin’s method is utilized to discretize the governing equations of motion to a five-degree-of-freedom nonlinear system under combined thermal and external excitations. By using the numerical method, the five-degree-of-freedom nonlinear system is analyzed to find the nonlinear responses of the FGMs cylindrical shell.

Copyright © 2009 by ASME
Topics: Stress , Pipes



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