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An Efficient Approach to Quantifying the Probability Distribution of Structural Responses using Endurance Time Analysis

Barkhori Mehni, Mohammad | 2017

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 50077 (09)
  4. University: Sharif University of Technology
  5. Department: Civil Engineering
  6. Advisor(s): Esmaeil Purestekanchi, Homayoon; Mahsuli, Mojtaba
  7. Abstract:
  8. The purpose of this study is to provide a simply applicable method for accurately determining the distribution of seismic responses of structures based on the Endurance-Time Analysis. This distribution is one of the pillars of the probabilistic Performance-based design of structures. In general, the Incremental Dynamic Analysis provides the most accurate results in this regard. However, the enormous computational cost of this kind of analysis makes it practicality questionable. In an Endurance-Time Analysis, the structure is analyzed under a limited number of special acceleration excitations functions. These excitations functions are specifically designed to apply an incremental seismic intensity to structures in only one analysis. This implies that the approximate response of the structure is available in a wide range of seismic intensities at a much lower computational cost than the Incremental Dynamic Analysis. The downside of the conventional Endurance-Time method is that it does not take the Record-to-Record Variability into account, and its results are only an estimate of the median responses of structure. In contrary to the Incremental Dynamic Analysis in which there is necessity to analyze model of structure under several natural earth quack records, in The method developed in this study a SDOF System Adopted from structural model is analyzed under the same records and then its responses are converted to desired responses of structural model through an endurance-time analysis. Since the computational cost of analyzing a SDOF System is much lower than a multi-degree model of the structure, the proposed method would yield desired results in less than one percent of the Incremental Dynamic Analysis computational cost. In this study, the accuracy and efficiency of the proposed method are evaluated by studying seven Special sway concrete frames with two to twenty floors. According to the results obtained from this study, the proposed method provides an estimate of the distribution of structural responses with an error of less than 10% while its computational cost is lower than 1% of the Incremental Dynamic Analysis. Therefore, this research addresses one of the most important obstacles to the development of the Performance-based and optimal design of structures
  9. Keywords:
  10. Incremental Dynamic Analysis ; Performance Based Design ; Probabilistic Methods ; Endurance Time Method ; Statistical Distributions

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