Uncertainty analysis of nonlinear systems employing the first-order reliability method

Chan Kyu Choi, Hong Hee Yoo

Research output: Contribution to journalArticle

10 Scopus citations


In most mechanical systems, properties of the system elements have uncertainties due to several reasons. For example, mass, stiffness coefficient of a spring, damping coefficient of a damper or friction coefficients have uncertain characteristics. The uncertain characteristics of the elements have a direct effect on the system performance uncertainty. It is very important to estimate the performance uncertainty since the performance uncertainty is directly related to manufacturing yield and consumer satisfaction. Due to this reason, the performance uncertainty should be estimated accurately and considered in the system design. In this paper, performance measures are defined for nonlinear vibration systems and the performance measure uncertainties are estimated employing the first order reliability method (FORM). It was found that the FORM could provide good results in spite of the system nonlinear characteristics. Comparing to the results obtained by Monte Carlo Simulation (MCS), the accuracy of the uncertainty analysis results obtained by the FORM is validated.

Original languageEnglish
Pages (from-to)39-44
Number of pages6
JournalJournal of Mechanical Science and Technology
Issue number1
Publication statusPublished - 2012 Jan 1



  • First order reliability method (FORM)
  • Nonlinear vibration system
  • Performance measure
  • Uncertainty analysis

Cite this