@inproceedings{87979c9fe3134fbb8b67c0f6b4a96379,
title = "Stochastic Responses of Viscoelastic System with Real-Power Stiffness under Randomly Disordered Periodic Excitations",
abstract = "The stochastic dynamic responses of viscoelastic systems with real-power exponents of stiffness term under randomly disordered periodic excitations are studied. The assumed viscoelastic forces depend on the past history of motion via convolution integrals over an exponentially decaying kernel functions. The method of multiple scales is used to derive the equations of modulation of amplitude and phase. The changes of the shape of resonance curve are obtained with real-power exponents of stiffness term and viscoelastic parameters which are confirmed numerically. Theoretical analysis and numerical simulations show that, as the intensity of the random excitation increases, the steady state solution changes from a limit cycle to a diffused limited cycle. Under some conditions, the system may have two steady state solutions and the phenomenon of jumps will happen between them under the random excitations.",
author = "Wei Xu and Hongqi Zang and Di Liu",
note = "Publisher Copyright: {\textcopyright} 2014 American Society of Civil Engineers.; 2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014 ; Conference date: 13-07-2014 Through 16-07-2014",
year = "2014",
doi = "10.1061/9780784413609.184",
language = "英语",
series = "Vulnerability, Uncertainty, and Risk: Quantification, Mitigation, and Management - Proceedings of the 2nd International Conference on Vulnerability and Risk Analysis and Management, ICVRAM 2014 and the 6th International Symposium on Uncertainty Modeling and Analysis, ISUMA 2014",
publisher = "American Society of Civil Engineers (ASCE)",
pages = "1836--1845",
editor = "Hall, {Jim W.} and Siu-Kui Au and Michael Beer",
booktitle = "Vulnerability, Uncertainty, and Risk",
}