Study on bifurcation of a harmonically excited two-degree-of-freedom spring-pendulum system with internal resonance

被引：0

作者：

Zhang, MD ^{[1
]}

Wang, TG ^{[1
]}

Zhang, MQ ^{[1
]}

机构：

[1] Tianjin Univ, Tianjin 300072, Peoples R China

来源：

ICVE'98: PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON VIBRATION ENGINEERING, VOL I | 1998年

关键词：

two-degree-of-freedom spring-pendulum system; internal resonance; external resonance; bifurcation; saturation phenomenon; jump phenomenon;

D O I：

暂无

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

In this article, dynamics features of a harmonically excited two-degree-of -freedom spring-pendulum(TFSP) system with internal resonance are studied with the method of multiple scales, and analyses of bifurcation, saturation and jump phenomena for the system are made. The results show that the TFSP system is unstable and energy can be exchanged with interaction between spring and pendulum modes.

引用

页码：332 / 335

页数：2

共 50 条

[1] Chaotic Dynamics of a Harmonically Excited Spring-Pendulum System with Internal Resonance
Won Kyoung Lee
Hae Dong Park
[J]. Nonlinear Dynamics, 1997, 14 : 211 - 229
[2] Chaotic dynamics of a harmonically excited spring-pendulum system with internal resonance
Lee, WK
Park, HD
[J]. NONLINEAR DYNAMICS, 1997, 14 (03) : 211 - 229
[3] A GLOBAL ANALYSIS OF AN HARMONICALLY EXCITED SPRING-PENDULUM SYSTEM WITH INTERNAL RESONANCE
LEE, WK
HSU, CS
[J]. JOURNAL OF SOUND AND VIBRATION, 1994, 171 (03) : 335 - 359
[4] Bifurcation in a parametrically excited two-degree-of-freedom nonlinear oscillating system with 1∶2 internal resonance
Ji Jinchen
Chen Yushu
[J]. Applied Mathematics and Mechanics, 1999, 20 (4) : 350 - 359
[5] BIFURCATION IN A PARAMETRICALLY EXCITED TWO-DEGREE-OF-FREEDOM NONLINEAR OSCILLATING SYSTEM WITH 1∶2 INTERNAL RESONANCE
季进臣
陈予恕
[J]. Applied Mathematics and Mechanics(English Edition), 1999, (04) : 11 - 20
[6] Bifurcation in a parametrically excited two-degree-of-freedom nonlinear oscillating system with 1:2 internal resonance
Ji, JC
Chen, YS
[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 1999, 20 (04) : 350 - 359
[7] Second-order approximation for chaotic responses of a harmonically excited spring-pendulum system
Lee, WK
Park, HD
[J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1999, 34 (04) : 749 - 757
[8] Improving energy harvesting by internal resonance in a spring-pendulum system
Wenan Jiang
Xiujing Han
Liqun Chen
Qinsheng Bi
[J]. Acta Mechanica Sinica, 2020, 36 : 618 - 623
[9] Improving energy harvesting by internal resonance in a spring-pendulum system
Jiang, Wenan
Han, Xiujing
Chen, Liqun
Bi, Qinsheng
[J]. ACTA MECHANICA SINICA, 2020, 36 (03) : 618 - 623
[10] Dynamics of a strongly nonlinear vibration absorber coupled to a harmonically excited two-degree-of-freedom system
Starosvetsky, Y.
Gendelman, O. V.
[J]. JOURNAL OF SOUND AND VIBRATION, 2008, 312 (1-2) : 234 - 256

← 1 2 3 4 5 →