ThaiScience
ThaiScience
ENGINEERING JOURNAL CHIANG MAI UNIVERSITY
Volume 25, No. 03, Month DECEMBER, Year 2018, Pages 66 - 78
Axisymmetric free vibration of fluid-filled membrane
Weeraphan Jiammeepreecha
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Axisymmetric free vibration of fluid-filled clamped membrane under constraint volume is presented in this paper. Differential geometry is introduced in order to compute the membrane geometry. Energy functional of the membrane and internal fluid are derived in terms of displacement from the principle of virtual work. Natural frequencies and mode shapes of the fluid-filled membrane can be obtained using finite element method. The membrane is simulated using one-dimensional beam elements described in spherical polar coordinates. Numerical results indicate that the axisymmetric mode shapes of the fluid-filled membrane under constraint volume condition and initial internal pressure are similar to the empty shell as well as available data in the existing literatures.
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Published by : Faculty of Engineering Chiang Mai University
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