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考虑局部非线性结构振动的模型预测控制
The model predictive control for structural vibration with local nonlinearity
投稿时间:2017-07-27  修订日期:2017-09-12
DOI:
中文关键词:  局部非线性  显式递推表达式  模型线性化  模型预测控制  显式降维迭代
英文关键词:local nonlinearity  explicit recursive formulation  model linearization  model predictive control  explicit dimension-reduced iteration
基金项目:自然基金(11472069),111引智计划(B14013), 国家重点研发计划(2016YFB0200702)
作者单位E-mail
李飞 大连理工大学 lif2014@mail.dlut.edu.cn 
张盛 大连理工大学  
彭海军 大连理工大学 hjpeng@dlut.edu.cn 
陈飙松 大连理工大学  
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中文摘要:
      本文针对具有局部非线性的结构振动主动控制问题,首先利用Newmark-β法,推导了局部非线性结构动力响应的时域显式递推表达式。然后基于该表达式:一方面,建立了局部非线性结构振动预测模型,并借鉴模型线性化思想对非线性环节进行处理,提出考虑局部非线性结构振动的模型预测控制算法;另一方面,在获取各仿真时刻的预测初始状态时,为避免直接对非线性动力学方程所有维度的完全迭代求解,推导了时域显式降维迭代方法,从而使在线计算效率得到显著提高。最后分别以局部非线性弹簧振子系统在简谐激励作用下的无控动力学分析和含粘滞阻尼器毗邻框架建筑结构在地震激励作用下的受控振动为例,进行数值仿真,结果表明:本文所提算法计算准确且控制效果令人满意。
英文摘要:
      In this paper, for the problem of structural vibration control with local nonlinearity, the dynamic explicit recursive formulation in time-domain for local nonlinear structures is derived by using the Newmark-β method firstly. Then, based on this formulation, a novel model predictive control algorithm for the local nonlinear structure vibration is proposed, which is followed by the establishment of the predictive model for this problem. It should be pointed out that the nonlinear component in the control process can be disposed by using the model linearization method for reference. Besides, to avoid a full iteration of all dimensions for the nonlinear dynamic equations when the initial state values in each predictive period need to be computed, an explicit dimension-reduced iteration method in time-domain for local nonlinear structures is also derived, which can greatly improve the online computation efficiency. Lastly, numerical simulations of a local nonlinear mass-spring system subjected to harmonic excitation and an adjacent frame building with viscous dampers subjected to the seismic excitation show that the proposed method is quite accurate and satisfactory in control effect.
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