Research Article
Feb 1978
Algorithms for Nonlinear Structural Dynamics
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VIEW THE REPLYPublication: Journal of the Structural Division
Volume 104, Issue 2
Abstract
Several competitive numerical integration techniques for nonlinear dynamic analysis of structures by the finite element method are examined and compared for a plane stress problem. Both material and geometric nonlinearities are included in the finite element formulation. Three explicit methods are investigated: (1)Central difference predictor; (2)two-cycle iteration with the trapezoidal rule; and (3)fourth-order Runge-Kutta method. A nodewise solution technique is generated at any state in the analysis. Three implicit methods also are studied: Newmark-Beta method, Houbolt method, and Park's stiffly-stable method. Among the three explicit methods, it is concluded that the central difference predictor is the best, whereas the performances of the other two methods are about equal. The three implicit approaches are nearly equal, but Park's stiffly-stable method is somewhat better than the Newmark-Beta method, and Houbolt's procedure must be rated third.
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Published In
Journal of the Structural Division
Volume 104 • Issue 2 • February 1978
Pages: 263 - 280
Copyright
© 1978 American Society of Civil Engineers.
History
Published in print: Feb 1978
Published online: Feb 1, 2021
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Hojjat Adeli
Visiting Asst. Prof. of Civ. Engrg., Northwestern Univ., Evanston, Ill.
James M. Gere, F.ASCE
Prof., Dept. of Civ. Engrg., Stanford Univ., Stanford, Calif.
William Weaver Jr., M.ASCE
Prof., Dept. of Civ. Engrg., Stanford Univ., Stanford, Calif.
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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.