STUDY OF TAIL-EQUIVALENT LINEARIZATION METHOD FOR NONLINEAR RANDOM VIBRATION

Abstract

This study explaining the tail-equivalent linearization method, to the case of a nonlinear structure subjected to stochastic excitations. with reference to Fujumura Der Kiureghian (2007), this method works on a discrete representation of the stochastic inputs and the first-order reliability method. the genetics of TELM is first order reliability method, and each component of the Gaussian excitation is expressed as a linear function of standard normal random variables. For a specified response threshold of the nonlinear system at a specified time, the tail equivalent linear system is defined in the standard normal space by matching the “design point” of the equivalent linear and nonlinear responses. This leads to the identification of the TELS in terms of a unit-impulse response function for each component of the input excitation. tail equivalent linearization method is a new, non-parametric linearization method for nonlinear random vibration analysis. This method is overcome the inadequacy of conventional equivalent linearization method. our objectives are investigation and thorough understanding of analysis of stochastic non- linear system by tail equivalent linearization method as well computation of certain non-linear response characteristics. The excitations, that will be studied, are stationary Gaussian processes. These processes can be white noise processes. the primary motive of this study to present thorough investigation of nonlinear stochastic dynamic analysis using TELM (tail equivalent linearization method), and simultaneously we generate a random excitation by use of white noise simulation. we generate a computational program for white noise Gaussian process simulation. further more study presented on method of random vibration analysis especially on equivalent linearization method and also gives brief review on reliability analysis of structure, i.e. first order reliability method and second order reliability method. in this section describe the problems of interest characterized by simple geometric forms for linear systems subjected to Gaussian excitation. Approximate solutions for such problems are obtained by use of the first- and second-order reliability methods (FORM and SORM). Examples are solve for demonstrate the approach.