A STATISTICAL LINEARIZATION METHOD OF HYSTERETIC SYSTEMS BASED ON RAYLEIGH DISTRIBUTION

作者：Sireteanu Tudor^*; Solomon Ovidiu; Mitu Ana Maria; Giuclea Marius

来源：Proceedings of the Romanian Academy - Series A: Mathematics, Physics, Technical Sciences, Information Science , 2013, 14(4): 335-342.

• hysteretic characteristics
• Rayleigh distribution
• stochastic equivalent linearization

A new statistical linearization method based on Rayleigh distribution is proposed in order to assess equivalent linear models for nonlinear systems with hysteretic characteristics. This method is based on the assumption that a set of hysteresis loops can be determined either from an analytical model or by laboratory experiments for imposed harmonic motion with different amplitudes, view as deviates from a Rayleigh distribution. A set of equivalent linear stiffness and damping coefficients dependent on the, are assessed as functions of imposed motion amplitudes by equating the dissipated energy and stored elastic energy per cycle corresponding to nonlinear and linear characteristics. The parameter defining the Rayleigh distribution is obtained by minimizing the error between r.m.s. outputs of equivalent linear system determined by two different statistical approaches. The main advantage of the proposed method is not only the fact that it can be easily applied for different mathematical models of hysteretic behavior, but also it can be used to assess statistic linear equivalent characteristics to experimental hysteretic loops with no available analytical models. A comparison between the proposed method and classical stochastic linearization method is presented in order to highlight the efficiency of this method.

• 出版日期2013-12