Membrane Analysis and Minimum Weight Design of Submerged Spherical Domes

Wang, Chen; Vo, K. K.; Chai, Y. H.

doi:10.1061/(asce)0733-9445(2006)132:2(253)

Cited by 12 publications

(2 citation statements)

References 14 publications

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“…[3] Despite numerous disadvantages of the structure fitting to the soil, low price of its building and simplicity of design can lead to frequent construction of such facilities in the future.…”

Section: Figure 11: Construction On the Ground Poseidon Undersea Rementioning

confidence: 99%

Projektovanje Podvodnih Konstrukcija

Radomirović¹

2017

Zbornik GFS

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Section: Figure 11: Construction On the Ground Poseidon Undersea Rementioning

confidence: 99%

Projektovanje Podvodnih Konstrukcija

Radomirović¹

2017

Zbornik GFS

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“…Spherical shells are commonly used in many fields of engineering, especially in structural and offshore engineering [1][2][3][4][5][6][7][8]. Moreover, spherical shells can be applied as part of or as a whole storage container or pressure vessel used in the chemical and petroleum industries, such as the end components of a cylindrical liquid/gas tank [9][10].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Axisymmetric Free Vibration Analysis of Liquid-Filled Spherical Shell With Volume Constraint

Jiammeepreecha

Chucheepsakul

2017

Journal of Vibration and Acoustics

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Nonlinear axisymmetric free vibration analysis of liquid-filled spherical shells with volume constraint condition using membrane theory is presented in this paper. The energy functional of the shell and contained liquid can be expressed based on the principle of virtual work using surface fundamental form, and are written in the appropriate forms. Natural frequencies and corresponding mode shapes for specified axisymmetric vibration amplitude of liquid-filled spherical shells can be calculated by finite element method. A nonlinear numerical solution can be obtained by the modified direct iteration technique. The results indicate that the Lagrange multiplier is a parameter for adapting the internal pressure in order to sustain the shell in equilibrium state for each mode of vibration with the volume constraint condition. The axisymmetric mode shapes of the liquid-filled spherical shells under volume constraint condition were found to be in close agreement with those in existing literature for an empty spherical shell. Finally, the effects of support condition, thickness, initial internal pressure, bulk modulus of internal liquid, and elastic modulus on the nonlinear axisymmetric free vibration and change of pressure of the liquid-filled spherical shells with volume constraint condition were demonstrated. The A c c e p t e d M a n u s c r i p t N o t C o p y e d i t e dDownloaded From: http://vibrationacoustics.asmedigitalcollection.asme.org/pdfaccess.ashx?url=/data/journals/jvacek/0/ on 04/23/2017 Terms of Use: http://www.asme.org/a Journal of Vibration and Acoustics VIB-16-1548, Jiammeepreecha, 2parametric studies showed that the change of pressure has a major impact on the fundamental vibration mode when compared with the higher vibration modes.

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