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A method for the evaluation of the response probability density function of some linear dynamic systems subjected to non-Gaussian random load
Affiliation:1. State Key Laboratory of Disaster Reduction in Civil Engineering & School of Civil Engineering, Tongji University, 1239 Siping Road, Shanghai 200092, PR China;2. East China Electric Power Design Institute, 409 Wuning Road, Shanghai 200063, PR China;1. Department of Instrumentation and Applied Physics, Indian Institute of Science, Bangalore, India;2. Computational Mechanics Lab, Department of Civil Engineering, Indian Institute of Science, Bangalore, India
Abstract:This paper deals with the characterization of the random response of linear systems subjected to stochastic load. It proposes a new method based on the new version of the Probabilistic Transformation Method (PTM) that allows obtaining, with a very low computational effort, the probability density function of the response. An important aspect of the proposed approach is the ability to join directly the pdfs of the input load with those of the response. Based on the step-by-step integration method, explicit solutions will be proposed for the random response of systems loaded by seismic and windy sampled inputs.
Keywords:Uncertain structures  Probability transformation  Characteristic function
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