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Free vibration of layered cylindrical shells filled with fluid

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Abstract

The vibration of the layered cylindrical shells filled with a quiescent, incompressible, and inviscid fluid is analyzed. The governing equations of the cylindrical shells are derived by Love’s approximation. The solutions of the displacement functions are assumed in a separable form to obtain a system of coupled differential equations in terms of the displacement functions. The displacement functions are approximated by Bickley-type splines. A generalized eigenvalue problem is obtained and solved numerically for the frequency parameter and an associated eigenvector of the spline coefficients. Two layered shells with three different types of materials under clamped-clamped (C-C) and simply supported (S-S) boundary conditions are considered. The variations of the frequency parameter with respect to the relative layer thickness, the length-to-radius ratio, the length-to-thickness ratio, and the circumferential node number are analyzed.

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Authors and Affiliations

  1. UTM Centre for Industrial and Applied Mathematics, Ibnu Sina Institute for Scientific & Industrial Research, Universiti Teknologi Malaysia, Johor Bahru, 81310, Malaysia

    M. D. Nurul Izyan, K. K. Viswanathan & Z. A. Aziz

  2. Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Johor Bahru, 81310, Malaysia

    M. D. Nurul Izyan, K. K. Viswanathan & Z. A. Aziz

  3. Department of Electrical and Computer Engineering, Pusan National University, Busan, 609735, South Korea

    K. Prabakar

Authors
  1. M. D. Nurul Izyan
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  2. K. K. Viswanathan
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  3. Z. A. Aziz
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  4. K. Prabakar
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Correspondence to K. K. Viswanathan.

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Project supported by the Fundamental Research Grant Scheme of the Ministry of Higher Education, Malaysia (Vote No. 4F249)

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Nurul Izyan, M.D., Viswanathan, K.K., Aziz, Z.A. et al. Free vibration of layered cylindrical shells filled with fluid. Appl. Math. Mech.-Engl. Ed. 37, 803–820 (2016). https://doi.org/10.1007/s10483-016-2089-6

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  • DOI: https://doi.org/10.1007/s10483-016-2089-6

Keywords

Chinese Library Classification

2010 Mathematics Subject Classification

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