The authors present a nonprobabilistic method for determining the maximum response of a dynamic system to an impulse. Based on the theory of convex models, the method is described as a set of constraints in terms of the excitation energy. The convex model requires less information about the uncertain nature of the excitation and the numerical evaluation is easier than in the probabilistic model. Investigators use two convex models to estimate the maximum response of dynamic systems subjected to uncertain impulsive loads. The convex models are based on the assumption that the energy of the impulse is bounded. A reduction factor is used to calibrate the convex models and is defined by dividing the result derived from the convex model to that obtained from the actual record. For impulses of known shape and duration, the reduction factor stays constant for various levels of the energy bound. An average reduction factor is also defined for impulses of unknown shape and duration but known energy bound, which still produces acceptable estimates of the maximum response.


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  • Accession Number: 00726925
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Oct 9 1996 12:00AM