ELEMENT LEVEL RELIABILITY USING TAIL EQUIVALENT LINEARIZATION METHOD

Abstract

To explore nonlinear random vibration, a novel non-parametric linearization methodology has been devised that is based on a discretized representation of stochastic inputs and integrates first order reliability method (FORM) thoughts. This method characterises the corresponding linear system by matching the design points of the nonlinear and linear responses in the space of standard normal variables created by discretizing the excitation with a predefined response threshold for the nonlinear system. Because it equals the first order estimate of the tail probability of the nonlinear system with that of the linear system, the methodology provides a more realistic picture of the TELS than earlier similar linearization approaches. A unit-impulse response function of the input excitation is required to represent the TELS. The purpose of this research is to examine the analysis of stochastic nonlinear systems using this approach and to compute. certain nonlinear response characteristics. It also discusses the random vibrational analysis approach, particularly the equivalent linearization method, and gives an outline of structural reliability analysis, including FORM. The primary goal of the study is to investigate the effect of various factors on the system. At the design point, the limit-state surface is linearized to define a linear system, the TELS. This non-parametric linearization approach has a promising potential to improve upon existing equivalent linearization techniques and provide a more effective means of analyzing nonlinear random vibration.