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Non-Gaussian Stochastic Equivalent Linearization Method for Inelastic Nonlinear Systems with Softening Behaviour, under Seismic Ground Motions
Joint Authors
Ruiz, Sonia E.
Silva-González, Francisco L.
Rodríguez-Castellanos, A.
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-11-25
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
A non-Gaussian stochastic equivalent linearization (NSEL) method for estimating the non-Gaussian response of inelastic non-linear structural systems subjected to seismic ground motions represented as nonstationary random processes is presented.
Based on a model that represents the time evolution of the joint probability density function (PDF) of the structural response, mathematical expressions of equivalent linearization coefficients are derived.
The displacement and velocity are assumed jointly Gaussian and the marginal PDF of the hysteretic component of the displacement is modeled by a mixed PDF which is Gaussian when the structural behavior is linear and turns into a bimodal PDF when the structural behavior is hysteretic.
The proposed NSEL method is applied to calculate the response of hysteretic single-degree-of-freedom systems with different vibration periods and different design displacement ductility values.
The results corresponding to the proposed method are compared with those calculated by means of Monte Carlo simulation, as well as by a Gaussian equivalent linearization method.
It is verified that the NSEL approach proposed herein leads to maximum structural response standard deviations similar to those obtained with Monte Carlo technique.
In addition, a brief discussion about the extension of the method to muti-degree-of-freedom systems is presented.
American Psychological Association (APA)
Silva-González, Francisco L.& Ruiz, Sonia E.& Rodríguez-Castellanos, A.. 2014. Non-Gaussian Stochastic Equivalent Linearization Method for Inelastic Nonlinear Systems with Softening Behaviour, under Seismic Ground Motions. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-1044364
Modern Language Association (MLA)
Silva-González, Francisco L.…[et al.]. Non-Gaussian Stochastic Equivalent Linearization Method for Inelastic Nonlinear Systems with Softening Behaviour, under Seismic Ground Motions. Mathematical Problems in Engineering No. 2014 (2014), pp.1-16.
https://search.emarefa.net/detail/BIM-1044364
American Medical Association (AMA)
Silva-González, Francisco L.& Ruiz, Sonia E.& Rodríguez-Castellanos, A.. Non-Gaussian Stochastic Equivalent Linearization Method for Inelastic Nonlinear Systems with Softening Behaviour, under Seismic Ground Motions. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-1044364
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1044364