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A platform for research: civil engineering, architecture and urbanism
Statistical Linearization of Hysteretic Systems Described by the Ramberg-Osgood Model
AbstractIn this paper, a statistical linearization method based on Rayleigh distribution is proposed for hysteretic systems described by the Ramberg-Osgood model. The 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, viewed as deviates from a Rayleigh distribution. A set of equivalent linear stiffness and damping coefficients, dependent on the distribution parameter, are assessed as functions of imposed motion amplitudes. Both the dissipated energy and stored elastic energy per cycle are determined using an accurate and simple analytical approximation of secant modulus, developed in the paper. The proposed method is applied for statistical linearization of a single-degree-of-freedom system equipped by hysteretic bracing devices with restrained buckling. The method is validated through numerical simulation of the output of the hysteretic and equivalent linear systems excited by band-limited and filtered Gaussian white noise.
Statistical Linearization of Hysteretic Systems Described by the Ramberg-Osgood Model
AbstractIn this paper, a statistical linearization method based on Rayleigh distribution is proposed for hysteretic systems described by the Ramberg-Osgood model. The 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, viewed as deviates from a Rayleigh distribution. A set of equivalent linear stiffness and damping coefficients, dependent on the distribution parameter, are assessed as functions of imposed motion amplitudes. Both the dissipated energy and stored elastic energy per cycle are determined using an accurate and simple analytical approximation of secant modulus, developed in the paper. The proposed method is applied for statistical linearization of a single-degree-of-freedom system equipped by hysteretic bracing devices with restrained buckling. The method is validated through numerical simulation of the output of the hysteretic and equivalent linear systems excited by band-limited and filtered Gaussian white noise.
Statistical Linearization of Hysteretic Systems Described by the Ramberg-Osgood Model
Giuclea, Marius (author) / Sireteanu, Tudor / Solomon, Ovidiu / Mitu, Ana Maria
2016
Article (Journal)
English
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