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A generalized L_2-discrepancy for cubature and uncertainty quantification of nonlinear structures

Science China(Technological Sciences) 2016年第6期59卷 941-952页

作者： CHEN Jian Bing SONG Peng Yan State Key Laboratory of Disaster Reduction in Civil Engineering & School of Civil Engineering Tongji University College of Civil Engineering and Architecture Hebei University

The numerical method for multi-dimensional integrals is of great importance, particularly in the uncertainty quantification of engineering structures. The key is to generate representative points as few as possible but of acceptable accuracy. A generalized L2（GL2）-discrepancy is studied by taking unequal weights for the point set. The extended Koksma-Hlawka inequality is discussed. Thereby, a worst-case error estimate is provided by such defined GL2-discrepancy, whose dosed-form expression is available. The characteristic values of GL2-discrepancy are investigated. An optimal strategy for the selection of the representative point sets with a prescribed cardinal number is proposed by minimizing the GL2-discrepancy. The three typical examples of the multi-dimensional integrals are investigated. The stochastic dynamic response analysis of a nonlinear structure is then studied by incorporating the proposed method into the probability density evolution method. It is shown that the proposed method is advantageous in achieving tradeoffs between the efficiency and accuracy of the exemplified problems. Problems to be further studied are discussed.

关键词： Koksma-Hlawka inequality cubature L2-discrepancy nonlinear structure stochastic dynamics

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Intelligent technology-based control of motion and vibration using MR dampers

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Earthquake Engineering and Engineering Vibration 2002年第1期1卷 100-110页

作者：周丽张志成苏磐石 College of Aerospace Engineering Nanjing University of Aeronautics & AstronauticsNanjing 210016China Associate professor Department of Civil Engineering Hong Kong University of Science and Technology.Clear Water BayKowloonHong Kong Associate professor Department of Civil & Environmental Engineering University of Illinois at Urbana-Champaign205 North Matthews AveUrbanaIL 61801USA Professor

Due to their intrinsically nonlinear characteristics,development of control strategies that are implementable and can fully utilize the capabilities of semiactive control devices is an important and challenging *** this study,two control strategies are proposed for protecting buildings against dynamic hazards,such as severe earthquakes and strong winds,using one of the most promising semiactive control devices,the magnetorheological (MR) *** first control strategy is implemented by introducing an inverse neural network (NN) model of the MR *** NN models provide direct estimation of the voltage that is required to produce a target control force calculated from some optimal control *** major objective of this research is to provide an effective means for implementation of the MR damper with existing control *** second control strategy involves the design of a fuzzy controller and an adaptation *** control objective is to minimize the difference between some desirable responses and the response of the combined system by adaptively adjusting the MR *** use of the adaptation law eliminates the need to acquire characteristics of the combined system in advance. Because the control strategy based on the combination of the fuzzy controller and the adaptation law doesn't require a prior knowledge of the combined building-damper system,this approach provides a robust control strategy that can be used to protect nonlinear or uncertain structures subjected to random loads.

关键词： neural networks models fuzzy control adaptation law nonlinear structure MR dampers

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