Beck, J. L. and Dowling, M. J. (1988) Quick Algorithms for Computing Either Displacement, Velocity or Acceleration of an Oscillator. Earthquake Engineering and Structural Dynamics, 16 (2). pp. 245-253. ISSN 0098-8847. http://resolver.caltech.edu/CaltechAUTHORS:20120830-154655422
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Accurate and efficient algorithms are derived for computing any desired response quantity of a single-degree-of-freedom linear oscillator subjected to an arbitrary forcing function. These algorithms are based on linear interpolation of the excitation between discrete points sampled uniformly in time. In the special case of the undamped oscillator, the displacement algorithm is equivalent to a previously published algorithm for this situation which was derived using a finite element approach. However, contrary to the claim made by the authors of this latter algorithm, it does not give an exact solution of the equation of undamped motion for an arbitrary forcing function.
|Additional Information:||Copyright © 1988 John Wiley & Sons. Received 23 March 1987. This work was carried out as part of a research project sponsored by the National Science Foundation (NSF), Grant No. CEE-8403780. Any opinions, findings and conclusions or recommendations expressed are those of the authors and do not necessarily reflect the views of NSF.|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Carmen Nemer-Sirois|
|Deposited On:||10 Sep 2012 22:30|
|Last Modified:||10 Sep 2012 22:30|
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