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Assessment of errors in the newmark method in structural dynamics

โœ Scribed by G. B. Warburton

Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
775 KB
Volume
19
Category
Article
ISSN
0098-8847

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โœฆ Synopsis

In the Newmark and other approximate step-by-step methods, having introduced assumptions in order to transform the differential equations, which are characteristic of response problems, into simultaneous equations, successive solutions lead to a response-time history. In this paper numerical results and formulae are given for the errors which are generated by this procedure. These errors are oscillatory in nature and, in general, the oscillations increase in magnitude as the number of time steps increases. Recommendations for upper limits on the time step, which will provide acceptable accuracy for a wide range of system and excitation parameters, are presented.

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