Vibration of externally-forced Froude pendulum

被引：12

作者：

Litak, G ^{[1
]}

Spuz-Szpos, G ^{[1
]}

Szabelski, K ^{[1
]}

Warminski, J ^{[1
]}

机构：

[1] Tech Univ Lublin, Dept Mech, PL-20618 Lublin, Poland

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1999年 / 9卷 / 03期

关键词：

D O I：

10.1142/S0218127499000407

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Motion of self-excited Froude pendulum under external forcing were analyzed. Differential equation of motion includes the nonlinear damping term of Rayleigh's type. Using multiple time scale method and Lyapunov theory, vibrations, synchronization and stability of the system were examined. Chaotic motion was analyzed here by means of Lyapunov exponent and Melnikov approach.

引用

页码：561 / 570

页数：10

共 11 条

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[2]

Guckenheimer J., 2013, Nonlinear Oscillations Dynamical Systems and Bifurcations of Vector Fields, DOI DOI 10.1007/978-1-4612-1140-2

[3]

LITAK G, 1996, P VIBR PHYS SYST 17, P188

[4]

LITAK G, 1994, IF UMCS REPORT