Simplified bending analysis of doubly curved shells

• Published in: Computers & structures Vol. 33; no. 3; pp. 781 - 784
• Main Authors: Aditya, A.K., Bandyopadhyay, J.N.
• Format: Journal Article
• Language: English
• 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; Hyperbolic paraboloid; Shell; Double curvature; Bending; Reinforcement; Paraboloidal shell; Boundary condition
• DOI: 10.1016/0045-7949(89)90252-6
• ISSN: 0045-7949

A study was made to get quick but fairly accurate values of shell actions in order to determine the preliminary dimensions and reinforcements of shell structures using the finite element method. Some of the unknown degrees of freedom were assumed to be zero in appropriate cases so that the total number of equations was greatly reduced. This boundary condition is termed the modified boundary condition. Both the actual and modified boundary conditions were employed for this study. A study of the possible savings of CPU time and computer memory space was also made. Two different shell problems, one of the paraboloid of revolution and one of the hyperbolic paraboloid, having opposite Gaussian curvature, are taken for the above study.