Research Article
Apr 1971
Response Computation using Truncated Taylor Series
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VIEW THE REPLYPublication: Journal of the Engineering Mechanics Division
Volume 97, Issue 2
Abstract
A numerical integration technique is presented that allows the user to integrate large systems of second-order differential equations with a truncated Taylor series. It is shown that by the addition of a fictitious damping term, the numerical instabilities that result when integrating the equation-of-motion directly are eliminated and the resulting integration is the dynamic response of the mechanical system. The stability criterion is derived and the accuracy of the method judged.
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Published In
Journal of the Engineering Mechanics Division
Volume 97 • Issue 2 • April 1971
Pages: 295 - 304
Copyright
© 1971 American Society of Civil Engineers.
History
Published in print: Apr 1971
Published online: Feb 3, 2021
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Joseph E. Grant, AM.ASCE
Member of the technical staff, Sandia Laboratories, Livermore, 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.