Research Article
Apr 1963
Dynamic Flexibility Matrix Analysis of Frames
Publication: Journal of the Structural Division
Volume 89, Issue 4
Abstract
The dynamic flexibility matrix is developed for uniform members in bending including translation of joints. A force method approach for the dynamic response of continuous beams and frames with translation of joints is then developed following ideas originally indicated by Hohenemser and Prager. All of the equations necessary for the determination of natural frequencies and/or dynamic response are developed in matrix form and programmed for automatic computation on the IBM 709 digital computer. Application is made to the determination of the natural frequencies and the dynamic response of two frames: a three-member, one-bay, one-story rigid frame and a six-member, one-bay, two-story rigid frame. The numerical results are compared to results obtained by other methods. Up to six mode shapes and frequencies were obtained in these examples. The number of matrix manipulations in this method was found to exceed the number in the deformation method but the computer times were comparable. In certain cases this procedure could be advantageous.
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Published In
Journal of the Structural Division
Volume 89 • Issue 4 • April 1963
Pages: 515 - 536
Copyright
© 1963 American Society of Civil Engineers.
History
Published in print: Apr 1963
Published online: Feb 1, 2021
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Authors
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K. W. Levien, AM.ASCE
Research Engr., The Boeing Company, Seattle, Wash.
Billy J. Hartz, M.ASCE
Assoc. Prof. of Civ. Engrg., Univ. of Washington, Seattle, Wash.
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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.