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| The model predictive control for structural vibration with local nonlinearity |
| Received:July 27, 2017 Revised:September 12, 2017 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20170727002 |
| KeyWord:local nonlinearity explicit recursive formulation model linearization model predictive control explicit dimension-reduced iteration |
| Author | Institution |
| 李飞 |
大连理工大学 工业装备结构分析国家重点实验室 工程力学系, 大连 |
| 张盛 |
大连理工大学 工业装备结构分析国家重点实验室 工程力学系, 大连 |
| 彭海军 |
大连理工大学 工业装备结构分析国家重点实验室 工程力学系, 大连 |
| 陈飙松 |
大连理工大学 工业装备结构分析国家重点实验室 工程力学系, 大连 |
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| Abstract: |
| In this paper,for the problem of structural vibration control with local nonlinearity,a dynamic explicit recursive formulation in time-domain for locally nonlinear structures is derived by using the Newmark-β method firstly.Then,based on this formulation,a novel model predictive control algorithm for vibration of the locally nonlinear structure 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 dealt with using the model linearization method.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 locally 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 a harmonic excitation and an adjacent frame building with viscous dampers subjected to seismic excitation show that the proposed method is quite accurate and satisfactory in control performance. |
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