Research Article
Jul 1975
Integration of Linear Equations of Motion
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VIEW THE REPLYPublication: Journal of the Structural Division
Volume 101, Issue 7
Abstract
This paper presents features of implementation of a transfer algorithm for solving linear ordinary differential equations using a digital computer. It shows results of applications to simple problems. Tests show the algorithm requires less computer time per step than other representative direct methods. It does not need adaptive error control. Variable time step logic is not required for integration to be efficient and effective. The consequences of these advantages are evidence in reducing computer times for Runge-Kutta integration by a factor of 4,000 while obtaining answers of improved accuracy. The examination shows that the efficiency and accuracy of the algorithm dictate use of an integration step size of the order of one-fifth the time of the shortest system period represented. The relation between the period and the number of calculations to generate the transfer matrix provides a reliable means of insuring that the appropriate time step is being used.
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Published In
Journal of the Structural Division
Volume 101 • Issue 7 • July 1975
Pages: 1551 - 1558
Copyright
© 1975 American Society of Civil Engineers.
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Published in print: Jul 1975
Published online: Feb 1, 2021
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Authors
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Robert J. Melosh, AM.ASCE
Engr. and Mgr., Marc Analysis Research Corp., Palo Alto, Calif.; formerly, Section Supervisor, Virginia Polytechnic Inst. and State Univ., Blacksburg, Va.
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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.