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ORIGINAL PAPER
Axisymmetric Free Vibration of Layered Cylindrical Shell Filled with Fluid
1
Faculty of Entrepreneurship and Business, Universiti Malaysia Kelantan, Pengkalan Chepa, 16100 Kota Bharu, Kelantan, Malaysia
2
Koleg Genius Insan, Universiti Sains Islam Makaysia, Bandar Baru Nilai, 71800, Nilai, Negari Sembilan, Malaysia; Department of Mathematical Sciences, Faculty of Science Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia
3
School of Applied Sciences and Mathematics, Universiti Teknologi Brunei, Jalan Tungku Link Gadong, BE1410, Bandar Seri Begawan, Brunei Darussalam
4
Department of Mathematical Sciences, Faculty of Science Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia; Ship & Offshore Extreme Technology Industry-Academic Cooperation Research Center, Inha University, 100 Inha-Ro, Incheon, 22212, South Korea
Online publication date: 2021-12-07
Publication date: 2021-12-01
International Journal of Applied Mechanics and Engineering 2021;26(4):63-76
KEYWORDS
axisymmetricfree vibrationcylindrical shellLove’s first approximation theoryinviscid fluidspline approximationeigenvalues
ABSTRACT
The aim of the study is to analyse the axisymmetric free vibration of layered cylindrical shells filled with a quiescent fluid. The fluid is assumed to be incompressible and inviscid. The equations of axisymmetric vibrations of layered cylindrical shell filled with fluid, on the longitudinal and transverse displacement components are obtained using Love’s first approximation theory. The solutions of displacement functions are assumed in a separable form to obtain a system of coupled differential equations in terms of displacement functions. The displacement functions are approximated by Bickley-type splines. A generalized eigenvalue problem is obtained and solved numerically for a frequency parameter and an associated eigenvector of spline coefficients. Two layered shells with three different types of materials under clamped-clamped boundary conditions are considered. Parametric studies are made on the variation of the frequency parameter with respect to length-to-radius ratio and length-to-thickness ratio.
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