非线性结构的时滞反馈控制研究

Recently, more and more attention of domestic and foreign scholars has been devoted to the time-delay problems, whilst a lot of valuable research results have been yielded. Essentially, practical engineering structures are non-linear systems (exhibit nonlinear behaviors). When the nonlinear factors in structures are too weak to affect the main dynamic characteristics, frames are often referred to as linear systems. Then, using the linear theory, the configurations could be undertaken dynamic response analysis and control design. In addition, related time-delay issues for linear systems have been studied by many researchers now. At the same time, some practical and effective approaches for solving the delayed problems have been proposed. However, when structural nonlinear effect is a crucial factor or the nonlinearities cannot be ignored, it is not possible to examine the structures as the linear systems. Non-linear theories have to be applied here to analyze the dynamic structural response. Unfortunately, as for the problem with time delay for active vibration control in nonlinear structures, current investigations are extremely limited. Moreover, few experimental studies in this field were reported. With the expectation to promote the development of time-delay dynamics research in China, the delayed-feedback control problems for a non-linear structure will be investigated and experimentally verified in this project.

目前关于时滞问题的研究正在得到国内外学者越来越多的关注，并有许多研究成果问世。现实工程结构本质上讲都是非线性的，当结构中的非线性因素较弱不足以影响结构的主要动力学特征时，人们往往对结构进行线性化，进而采用线性理论对结构进行动力响应分析与控制设计，对于线性系统中的时滞问题目前也有着较多研究，人们已经提出了一些切实可行和有效的时滞问题处理方法。但是当结构中的非线性因素较强和不能忽略时，结构的线性化处理将不可行，只能采用非线性理论对结构的动力响应进行分析，而对于非线性结构振动主动控制中的时滞问题，目前的研究非常有限，更是少有实验研究报道。本项目以非线性结构为对象，开展时滞反馈控制问题的研究，并且进行实验验证，寄望于研究成果能够促进我国时滞动力学的研究进展。

原定研究内容：.本项目拟以非线性结构为对象，开展时滞反馈控制问题的研究，内容包括：（1）基于Bouc-Wen滞回模型的非线性结构的时滞反馈控制，给出时滞问题处理方法，并且开展时滞主动控制律设计，（2）基于分段线性滞回模型的非线性结构的时滞反馈控制，给出时滞处理方法和进行时滞控制律设计，（3）实验验证，对理论研究成果进行实验验证。..实际完成情况：.本项目完成了预定的所有研究内容：（1）以多种柔性结构为对象，提出了一种基于Bouc-Wen滞回模型的非线性结构的时滞反馈控制律的设计方法；（2）以建筑结构的地震激励响应控制为对象，提出了一种基于分段线性滞回模型的非线性结构的时滞反馈控制律的设计方法；（3）以黏贴有橡胶层的柔性梁和柔性板为对象，开始了非线性时滞反馈控制律的实验验证工作。.本项目共发表科技期刊文章51篇，其中SCI检索源文章34篇，EI检索源文章41篇；出版学术专著一本。培养研究生11名，其中博士生5名和硕士生6名，10人已经毕业，而且1人的学位论文荣获上海市优秀博士学位论文称号和2人的学位论文荣获上海市优秀硕士学位论文称号。项目研究期间，参加了13个国内外学术会议，邀请了2位国外学者来华学术交流（美国加州大学、新墨西哥州立大学）。