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Exact analysis of resonance frequency and mode shapes of isotropic and laminated composite cylindrical shells; Part I: analytical studies

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Abstract

In order to study the free vibration of simply supported circular cylindrical shells, an exact analytical procedure is developed and discussed in detail. Part I presents a general approach for exact analysis of natural frequencies and mode shapes of circular cylindrical shells. The validity of the exact technique is verified using four different shell theories 1) Soedel, 2) Flugge, 3) Morley-Koiter and 4) Donnell. The exact procedure is compared favorably with experimental results and those obtained using a numerical finite element method. A literature review reveals that beam functions are used extensively as an approximation for simply supported boundary conditions. The accuracy of the resonance frequencies obtained using the approximate method are also investigated by comparing results with those of the exact analysis. Part II presents effects of different parameters on mode shapes and natural frequencies of circular cylindrical shells.

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Authors and Affiliations

  1. Mechanical Engineering Department, Ferdowsi University of Mashhad, Mashhad, Iran

    Pouria Oliazadeh & Anooshiravan Farshidianfar

  2. Mechanical Engineering Department, University of Waterloo, Waterloo, Canada

    Mohammad H. Farshidianfar

Authors
  1. Pouria Oliazadeh
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  2. Mohammad H. Farshidianfar
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  3. Anooshiravan Farshidianfar
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Correspondence to Pouria Oliazadeh.

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Recommended by Editor Yeon June Kang

Pouria Oliazadeh received his B.S. and M.S. degrees from Ferdowsi University of Mashhad in 2010 and 2012, respectively and now he is the student of Ph.D. in Ferdowsi University of Mashhad. His research interests include: vibration, dynamics, acoustics and composite structures.

Mohammad H. Farshidianfar received the B.S. degree in mechanical engineering from Ferdowsi University of Mashhad, Mashhad, Iran in 2012. He is currently pursuing the M.A.Sc. degree in mechanical engineering at University of Waterloo, Waterloo, Canada. His research interests include: vibration, dynamics, acoustics and control. Mr. Farshidianfar has been the subject of several awards.

Anooshiravan Farshidianfar received the B.S. and M.S. degrees in mechanical engineering from University of Tehran, Tehran, Iran. He received the Ph.D. in mechanical engineering from University of Bradford, Bradford, England, in 2000. He is currently a Professor at Ferdowsi University of Mashhad, Mashhad, Iran. The current research interests in Professor Farshidianfar’s group include: vibration, dynamics, acoustics and nano technology. Professor Farshidianfar has authored and co-authored over 180 publications.

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Oliazadeh, P., Farshidianfar, M.H. & Farshidianfar, A. Exact analysis of resonance frequency and mode shapes of isotropic and laminated composite cylindrical shells; Part I: analytical studies. J Mech Sci Technol 27, 3635–3643 (2013). https://doi.org/10.1007/s12206-013-0905-1

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  • DOI: https://doi.org/10.1007/s12206-013-0905-1

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