Research Article
Sep 1971
Geometrically Nonlinear Structural Analysis by Direct Stiffness Method
Authors: James A. Stricklin, Walter E. Haisler, and Walter A. Von Riesemann, M.ASCEAuthor Affiliations
Publication: Journal of the Structural Division
Volume 97, Issue 9
Abstract
Castigliano's theorem is employed to derive the general equilibrium equations governing geometrically nonlinear structural behavior. Three different formulations are presented for the solution of these basic relations, namely, Newton-Raphson, incremental, and initial-value. The application of these solution procedures is considered and the significance and interrelation of various terms in each formulation is pointed out. In each formulation, a particular matrix, termed the nonlinear stiffness matrix, is seen to appear. The individual coefficients of this nonlinear stiffness matrix are presented for pin-jointed bar and plane-stress triangular elements. The nonlinear stiffness coefficients are seen to be simple and easy to apply since they are given in terms of the geometry of the undeformed element and require no coordinate transformation. A physical interpretation is made of the nonlinear stiffness matrix through comparison with the geometric stiffness matrices used in incremental approaches. Application of the new formulation is made to highly nonlinear frame and shell problems.
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Published In
Journal of the Structural Division
Volume 97 • Issue 9 • September 1971
Pages: 2299 - 2314
Copyright
© 1971 American Society of Civil Engineers.
History
Published in print: Sep 1971
Published online: Feb 1, 2021
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Authors
Affiliations
James A. Stricklin
Prof., Dept. of Aerospace Engrg., Texas A&M Univ., College Station, Tex.
Walter E. Haisler
Asst. Prof., Dept. of Aerospace Engrg., Texas A&M Univ., College Station, Tex.
Walter A. Von Riesemann, M.ASCE
Staff Member, Sandia Corp., Albuquerque, N.M.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
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.
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.