Bending analysis of doubly curved shell structures by finite element method

A generalized formulation for the doubly curved shells including all three radii of curvature has been attempted. The displacement fields u, v and w have been approximated with polynomials having 16 terms. Eigenvalue analysis has been performed on two isoparametric shell elements to check proper inc...

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Bibliographic Details
Published inComputers & structures Vol. 31; no. 5; pp. 717 - 728
Main Authors Bandyopadhyay, J.N., Aditya, A.K.
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 1989
Elsevier Science
Subjects
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Finite element method
Shell
Double curvature
Isoparametric finite element
Bending
Mechanical structure
Comparative study
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Summary:A generalized formulation for the doubly curved shells including all three radii of curvature has been attempted. The displacement fields u, v and w have been approximated with polynomials having 16 terms. Eigenvalue analysis has been performed on two isoparametric shell elements to check proper inclusion of rigid body modes. One hyperbolic paraboloid shell problem has been solved using the formulation with three different mesh sizes and with three different values of Poisson's ratio. A comparative study of the results with those of earlier investigators and also of the effect of Poisson's ratio on different shell actions has been made.
ISSN:0045-7949
1879-2243
DOI:10.1016/0045-7949(89)90205-8