Research Article
Sep 1968
Finite Element Analysis of Nonlinear Structures
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VIEW THE REPLYAuthors: Robert H. Mallett, AM.ASCE, and Pedro V. MarcalAuthor Affiliations
Publication: Journal of the Structural Division
Volume 94, Issue 9
Abstract
The principle of virtual work is employed to derive general relations governing geometrically nonlinear structural behavior. From these basic relations, three general finite-element analysis models, namely, potential energy, direct and incremental, are formulated for nonlinear pre- and post-buckling analyses. In addition, a quadratic eigenvalue model is developed for the prediction of critical load levels. The analysis models are expressed in matrix notation within the framework of the finite-element technology and an inter-consistency is observed among the component matrices. These matrices are given geometrical interpretation and a hierarchy of nonlinearity is developed. Specific representative finite elements are considered and alternative computational procedures are associated with the several levels in the hierarchy of nonlinearity. Recommendations are made concerning the conduct of geometrically nonlinear finite-element analysis.
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Published In
Journal of the Structural Division
Volume 94 • Issue 9 • September 1968
Pages: 2081 - 2106
Copyright
© 1968 American Society of Civil Engineers.
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Published in print: Sep 1968
Published online: Feb 1, 2021
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Robert H. Mallett, AM.ASCE
Chief, Structural Dynamics Analysis, Structural Systems Dept., Textron’s Bell Aerosystems, Buffalo, N.Y.
Pedro V. Marcal
Asst. Prof., Div. of Engrg., Brown Univ., Providence, R. I.
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.