Nonlinear static analysis of an axisymmetric shell storage container in spherical polar coordinates with constraint volume

Jiammeepreecha, Weeraphan; Chucheepsakul, Somchai; Huang, Tseng

doi:10.1016/j.engstruct.2014.02.014

Cited by 16 publications

(2 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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

View full text Add to dashboard Cite

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.

show abstract

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

View full text Add to dashboard Cite

show abstract

“…The prediction of buckling loads and deformation paths of structural members is important in the design of various engineering components [3]. Many researches have been made on buckling of axisymmetric thin spherical shells under various loading and boundary conditions, such as, [4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Geometrically Nonlinear Behavior of Axisymmetric Thin Spherical Shells

Polat¹

2017

MMA

View full text Add to dashboard Cite

Abstract:This article presents a geometrically nonlinear formulation of a two node axisymmetric shell element. The geometrically nonlinear formulation is based on the Total Lagrangian approach and the material behavior is assumed to be linearly elastic. The spherical arc-length procedure is used to obtain the pre-buckling, buckling and post-buckling deformation path. Some numerical examples are solved to demonstrate geometrically nonlinear behavior of elastic thin spherical shells subjected to various loads.

show abstract

Large displacement analysis of ellipsoidal pressure vessel heads using the fundamental of differential geometry

Tangbanjongkij

Chucheepsakul

Jiammeepreecha

2019

International Journal of Pressure Vessels and Piping

View full text Add to dashboard Cite

Nonlinear static analysis of an axisymmetric shell storage container in spherical polar coordinates with constraint volume

Cited by 16 publications

References 24 publications

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

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

Geometrically Nonlinear Behavior of Axisymmetric Thin Spherical Shells

Large displacement analysis of ellipsoidal pressure vessel heads using the fundamental of differential geometry

Contact Info

Product

Resources

About