Equivalent Linearization Methods for a Control System with Clutching Inerter Damper
Inerter-based dampers have gained great popularity in structural vibration control. In this paper, equivalent linearization methods (ELMs) for a single-degree-of-freedom (SDOF) system with a clutching inerter damper (CID) are studied. The comparison of a SDOF system with a CID and an inertial mass d...
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doaj-b66f6559673442e5b30bba6ec57b3bfb2020-11-24T20:48:14ZengMDPI AGApplied Sciences2076-34172019-02-019468810.3390/app9040688app9040688Equivalent Linearization Methods for a Control System with Clutching Inerter DamperLuyu Li0Qigang Liang1Han Qin2School of Civil Engineering, Dalian University of Technology, Dalian 116024, ChinaSchool of Civil Engineering, Dalian University of Technology, Dalian 116024, ChinaSchool of Civil Engineering, Dalian University of Technology, Dalian 116024, ChinaInerter-based dampers have gained great popularity in structural vibration control. In this paper, equivalent linearization methods (ELMs) for a single-degree-of-freedom (SDOF) system with a clutching inerter damper (CID) are studied. The comparison of a SDOF system with a CID and an inertial mass damper (IMD) shows the advantage of the CID. Considering that the system with the CID is nonlinear, which is problematic for its performance evaluation and the integrated design of the structure and control system, three equivalent linearization methods based on different principles are proposed and discussed in this paper. The CID is considered to be equal to a combination of an IMD and a viscous damper. The equivalent inertance and damping can be calculated using the obtained formulas for all methods. In addition, all methods are compared in a numerical study. Results show that the ELM based on period and energy is recommended for small inertance-mass ratios.https://www.mdpi.com/2076-3417/9/4/688inertial mass damperclutching inerter damperequivalent linearization methodstatistical linearization methodperformance evaluation |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Luyu Li Qigang Liang Han Qin |
spellingShingle |
Luyu Li Qigang Liang Han Qin Equivalent Linearization Methods for a Control System with Clutching Inerter Damper Applied Sciences inertial mass damper clutching inerter damper equivalent linearization method statistical linearization method performance evaluation |
author_facet |
Luyu Li Qigang Liang Han Qin |
author_sort |
Luyu Li |
title |
Equivalent Linearization Methods for a Control System with Clutching Inerter Damper |
title_short |
Equivalent Linearization Methods for a Control System with Clutching Inerter Damper |
title_full |
Equivalent Linearization Methods for a Control System with Clutching Inerter Damper |
title_fullStr |
Equivalent Linearization Methods for a Control System with Clutching Inerter Damper |
title_full_unstemmed |
Equivalent Linearization Methods for a Control System with Clutching Inerter Damper |
title_sort |
equivalent linearization methods for a control system with clutching inerter damper |
publisher |
MDPI AG |
series |
Applied Sciences |
issn |
2076-3417 |
publishDate |
2019-02-01 |
description |
Inerter-based dampers have gained great popularity in structural vibration control. In this paper, equivalent linearization methods (ELMs) for a single-degree-of-freedom (SDOF) system with a clutching inerter damper (CID) are studied. The comparison of a SDOF system with a CID and an inertial mass damper (IMD) shows the advantage of the CID. Considering that the system with the CID is nonlinear, which is problematic for its performance evaluation and the integrated design of the structure and control system, three equivalent linearization methods based on different principles are proposed and discussed in this paper. The CID is considered to be equal to a combination of an IMD and a viscous damper. The equivalent inertance and damping can be calculated using the obtained formulas for all methods. In addition, all methods are compared in a numerical study. Results show that the ELM based on period and energy is recommended for small inertance-mass ratios. |
topic |
inertial mass damper clutching inerter damper equivalent linearization method statistical linearization method performance evaluation |
url |
https://www.mdpi.com/2076-3417/9/4/688 |
work_keys_str_mv |
AT luyuli equivalentlinearizationmethodsforacontrolsystemwithclutchinginerterdamper AT qigangliang equivalentlinearizationmethodsforacontrolsystemwithclutchinginerterdamper AT hanqin equivalentlinearizationmethodsforacontrolsystemwithclutchinginerterdamper |
_version_ |
1716808515808395264 |