Influence of inerter on natural frequencies of vibration systems

被引：173

作者：

Chen, Michael Z. Q. ^{[1
]}

Hu, Yinlong ^{[2
]}

Huang, Lixi ^{[1
,4
]}

Chen, Guanrong ^{[3
]}

机构：

[1] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China

[2] Nanjing Univ Sci & Technol, Sch Automat, Nanjing, Jiangsu, Peoples R China

[3] City Univ Hong Kong, Dept Elect Engn, Hong Kong, Hong Kong, Peoples R China

[4] Zhejiang Inst Res & Innovat, Lab Aerodynam & Acoust, Hangzhou, Zhejiang, Peoples R China

来源：

JOURNAL OF SOUND AND VIBRATION | 2014年 / 333卷 / 07期

基金：

中国国家自然科学基金;

关键词：

TRAIN SUSPENSION SYSTEMS; MECHANICAL NETWORKS; COMPENSATORS; SENSITIVITY; ADMITTANCES;

D O I：

10.1016/j.jsv.2013.11.025

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

This paper investigates the influence of inerter on the natural frequencies of vibration systems. First of all, the natural frequencies of a single-degree-of-freedom (SDOF) system and a two-degree-of-freedom (TDOF) system are derived algebraically and the fact that the inerter can reduce the natural frequencies of these systems is demonstrated. Then, to further investigate the influence of inerter in a general vibration system, a multi-degree-of-freedom system (MDOF) is considered. Sensitivity analysis is performed on the natural frequencies and mode shapes to demonstrate that the natural frequencies of the MDOF system can always be reduced by increasing the inertance of any inerter. The condition for a general MDOF system of which the natural frequencies can be reduced by an inerter is also derived. Finally, the influence of the inerter position on the natural frequencies is investigated and the efficiency of inerter in reducing the largest natural frequencies is verified by simulating a six-degree-of-freedom system, where a reduction of more than 47 percent is obtained by employing only five inerters. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：1874 / 1887

页数：14

共 29 条

[1]

[Anonymous], 1988, Matrix Analysis

[2] Energy harvesting vibration sources for microsystems applications [J].

Beeby, S. P. ;

Tudor, M. J. ;

White, N. M. .

MEASUREMENT SCIENCE AND TECHNOLOGY, 2006, 17 (12) :R175-R195

[3] Realizations of a Special Class of Admittances With Strictly Lower Complexity Than Canonical Forms [J].

Chen, Michael Z. Q. ;

Wang, Kai ;

Shu, Zhan ;

Li, Chanying .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2013, 60 (09) :2465-2473

[4] Realization of a Special Class of Admittances with One Damper and One Inerter for Mechanical Control [J].

Chen, Michael Z. Q. ;

Wang, Kai ;

Zou, Yun ;

Lam, James .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2013, 58 (07) :1841-1846

[5] Restricted Complexity Network Realizations for Passive Mechanical Control [J].

Chen, Michael Z. Q. ;

Smith, Malcolm C. .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (10) :2290-2301

[6] The Missing Mechanical Circuit Element [J].

Chen, Michael Z. Q. ;

Papageorgiou, Christos ;

Scheibe, Frank ;

Wang, Fu-Cheng ;

Smith, Malcolm C. .

IEEE CIRCUITS AND SYSTEMS MAGAZINE, 2009, 9 (01) :10-26

[7] A Note on Tests for Positive-Real Functions [J].

Chen, Michael Z. Q. ;

Smith, Malcolm C. .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (02) :390-393

[8]

Chen MZQ, 2008, LECT NOTES CONTR INF, V371, P35, DOI 10.1007/978-1-84800-155-8_3

[9]

CHEN MZQ, 2007, THESIS CAMBRIDGE U U

[10] Mechanical steering compensators for high-performance motorcycles [J].

Evangelou, Simos ;

Limebeer, David J. N. ;

Sharp, Robin S. ;

Smith, Malcolm C. .

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 2007, 74 (02) :332-346

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