Abstract

Considering the uncertainties of seismic excitation and stochastic parameters of the Inter-story Isolation Structure, the implicit structural response function is transformed into an explicit one by the Stochastic Response Surface Method (SRSM), combined with a probabilistic collocation method based on the linear independence principle. By using the reliability analysis method based on the first-passage failure, the reliability of isolation structure is analyzed and the sensitivity of the reliability of each sub-structure is further analyzed. The results show that conducting sensitivity research based on reliability analysis can provide an important theoretical basis for an optimized and robust design of a random vibration system. The changes of the stiffness and damping ratio of the Isolation Layer have a great influence on the reliability of the system and have different effects on the reliability of different parts of the system. The analysis results of reliability sensitivity could provide system reliability indexes to rank stochastic parameters by their importance, thus improving the efficiency of the structure reliability analysis and optimization design.

Highlights

  • Reliability sensitivity reflects the impact of the change of design parameters on failure probability, which is often used in the reliability-based optimization design of structures to determine a search direction for an optimal solution and plays an important role in reliability-based optimization design of structures

  • Reliability sensitivity is defined as the ratio of the variation of the failure probability caused by change in the distribution parameters of basic random variables [1,2,3]

  • 1) By conducting sensitivity research based on the reliability analysis of the Inter-story Isolation System, a quantitative relationship between the reliability and the fluctuation of the distribution parameter of the basic random variable can be obtained, which can provide an important theoretical basis for an optimized and robust Inter-story Isolation System design

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Summary

Introduction

Reliability sensitivity reflects the impact of the change of design parameters on failure probability, which is often used in the reliability-based optimization design of structures to determine a search direction for an optimal solution and plays an important role in reliability-based optimization design of structures. Through the sensitivity analysis of structural reliability, it can be determined which design parameter is the most effective to adjust, so as to select as few optimization variables as possible, to help engineers and technicians reasonably establish the safety tolerance of the structural system and control the impact of random parameters on the safety of the structural system. This analysis has guiding significance for the reliability design, modification, and optimization of the Inter-story Isolation System

Equations of motion
Seismic response under filtered white noise excitation
Dynamic reliability based on the First-passage Failure
Stochastic response surface model
Sensitivity analysis of reliability
Structural model parameters
Analysis of structural model examples
Reliability analysis
19 Structural Reliability
Analytical model
Time history analysis
Conclusions

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