Forced Vibration Responses of Functionally Graded Conical Shell under Harmonic Load
Amirhossein Nezhadi*, Roslan Abdul Rahman, Amran Ayob
Faculty of Mechanical Engineering, Universiti Teknologi Malaysia (UTM), 81310 Skudai, Johor, Malaysia
Abstract: An efficient method for studying the forced vibration of functionally graded conical shell is demonstrated. Hamilton’s principle with the Rayleigh-Ritz method is utilized to obtain the equation of motion of the FG conical shell. A group of simpler principal vibration modes of the conical shell with two simply supported boundaries are demonstrated. The natural frequencies of FG conical shell can be obtained by solving eigenvalue problem of the equation of motion and the steady responses of forced vibration can also be obtained by solving the equation of motion. The exponential variation of material properties in the thickness direction of the plate is considered. Numerical comparisons with the outcomes in the open literature are done to confirm the present methodology. In addition, the forced vibration responses of a functionally graded conical shell are also computed.
[Amirhossein Nezhadi, Roslan Abdul Rahman, Amran Ayob. Forced Vibration Responses of Functionally Graded Conical Shell under Harmonic Load. Life Sci J 2013:10(1):3204-3212]. (ISSN: 1097-8135).http://www.lifesciencesite.com. 5
Keywords: Functionally Graded Materials, Conical shell, Hrmonic Load, Forced Vibration.