Non-linear time delay saturation controller for reduction of a non-linear vibrating system via 1:4 internal resonance

被引：8

作者：

Sayed, M. ^{[1
,2
]}

Mousa, A. A. ^{[2
,3
]}

Alzaharani, D. Y. ^{[4
]}

机构：

[1] Menoufia Univ, Dept Engn Math, Fac Elect Engn, Menoufia 32952, Egypt

[2] Taif Univ, Fac Sci, Dept Math & Stat, POB 888, El Taif 21974, El Haweiah, Saudi Arabia

[3] Menoufia Univ, Fac Engn, Dept Basic Engn Sci, Shibin Al Kawm, Egypt

[4] Al Baha Univ, Fac Arts & Sci Baljurashi, Dept Math, Al Baha, Saudi Arabia

来源：

JOURNAL OF VIBROENGINEERING | 2016年 / 18卷 / 04期

关键词：

time delay; saturation control; active control; stability; jump phenomenon; FEEDBACK-CONTROL; STABILITY ANALYSIS; ABSORBER; BEAM;

D O I：

10.21595/jve.2016.16413

中图分类号：

R318 [生物医学工程];

学科分类号：

0831 ;

摘要：

In this paper, active control with time delay was implemented for eliminating the vibration of the non-linear system excited by external and parametric forcing amplitude in the presence of 1:4 internal resonances. Multiple time scale method is applied to determine first-order approximations of the controlled system. The stability of the system is investigated analytically using Lyapunov first method and numerically using frequency, force-response curves and phase-plane method for the considered resonance case. Effects of different parameters on the steady state response of the controlled system are investigated. Variation of some parameters leads to the bending of the frequency, force-response curves and hence to the jump phenomenon occurrence.

引用

页码：2515 / 2536

页数：22

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