EXPERIMENTAL STUDY ON AMPLITUDE-FREQUENCY CHARACTERISTIC AND BASIN STABILITY OF HORIZONTALLY DRIVEN PENDULUM

被引：0

作者：

Jia, Ji ^{[1
]}

Wu, Ye ^{[1
,2
]}

Liu, Weiqing ^{[3
]}

Xiao, Jinghua ^{[1
,2
]}

机构：

[1] Beijing Univ Posts & Telecommun, Sch Sci, Beijing, Peoples R China

[2] Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, Beijing, Peoples R China

[3] Jiangxi Univ Sci & Technol, Sch Sci, Ganzhou, Peoples R China

来源：

JOURNAL OF THEORETICAL AND APPLIED MECHANICS | 2016年 / 54卷 / 03期

基金：

中国国家自然科学基金;

关键词：

horizontally driven pendulum system; bifurcation; basin stability; ISOLATION SYSTEM; BEHAVIOR;

D O I：

10.15632/jtam-pl.54.3.839

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this article, an inverted pendulum system is set up to explore the dynamics of a horizontally driven pendulum which exhibits a great variety of dynamical behavior and appears in a wide range of applications in the field of engineering. The facility is efficient to experimentally explore two kinds of coexisting movement patterns in the horizontally driven pendulum, i.e. in-phase and anti-phase patterns between the angular velocity of the pendulum rod and the direction of the driving forces. Theoretical analysis is applied to reveal the regimes of the coexistence of the two movement patterns, which is promising to control the system to a desired pattern.

引用

页码：839 / 846

页数：8

共 15 条

[1] Unpredictable behavior in the Duffing oscillator:: Wada basins [J].

Aguirre, J ;

Sanjuán, MAF .

PHYSICA D-NONLINEAR PHENOMENA, 2002, 171 (1-2) :41-51

[2] CONTROL OF THE CHAOTIC DRIVEN PENDULUM [J].

BAKER, GL .

AMERICAN JOURNAL OF PHYSICS, 1995, 63 (09) :832-838

[3]

Heng H., 1992, Chaos, Solitons and Fractals, V2, P323, DOI 10.1016/0960-0779(92)90039-P

[4] CHAOTIC BEHAVIOR OF A PARAMETRICALLY EXCITED DAMPED PENDULUM [J].

LEVEN, RW ;

KOCH, BP .

PHYSICS LETTERS A, 1981, 86 (02) :71-74

[5] Cargo pendulation reduction of ship-mounted cranes [J].

Masoud, ZN ;

Nayfeh, AH ;

Mook, DT .

NONLINEAR DYNAMICS, 2004, 35 (03) :299-311

[6] How basin stability complements the linear-stability paradigm [J].

Menck, Peter J. ;

Heitzig, Jobst ;

Marwan, Norbert ;

Kurths, Juergen .

NATURE PHYSICS, 2013, 9 (02) :89-92

[7] EXPERIMENTAL-STUDY OF FRICTION-PENDULUM ISOLATION SYSTEM [J].

MOKHA, A ;

CONSTANTINOU, MC ;

REINHORN, AM ;

ZAYAS, VA .

JOURNAL OF STRUCTURAL ENGINEERING, 1991, 117 (04) :1201-1217

[8] Development of the core-suspended isolation system [J].

Nakamura, Yutaka ;

Saruta, Masaaki ;

Wada, Akira ;

Takeuchi, Toru ;

Hikone, Shigeru ;

Takahashi, Teiichi .

EARTHQUAKE ENGINEERING & STRUCTURAL DYNAMICS, 2011, 40 (04) :429-447

[9]

Sauer IM, 1999, ARTIF ORGANS, V23, P290

[10] Bifurcations in the mean angle of a horizontally shaken pendulum: Analysis and experiment [J].

Schmitt, JM ;

Bayly, PV .

NONLINEAR DYNAMICS, 1998, 15 (01) :1-14

← 1 2 →