Beat Vibration of X-Configuration Tension Nonlinear Systems Under Resonance Excitation

QI Zihan; WU Zhiqiang; JIAO Yunlei; JIA Wenwen

doi:10.21656/1000-0887.420326

Volume 43 Issue 6

Jun. 2022

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Article Navigation > Applied Mathematics and Mechanics > 2022 > 43(6): 597-607

QI Zihan, WU Zhiqiang, JIAO Yunlei, JIA Wenwen. Beat Vibration of X-Configuration Tension Nonlinear Systems Under Resonance Excitation[J]. Applied Mathematics and Mechanics, 2022, 43(6): 597-607. doi: 10.21656/1000-0887.420326

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Beat Vibration of X-Configuration Tension Nonlinear Systems Under Resonance Excitation

doi: 10.21656/1000-0887.420326

1.
Department of Mechanics, Tianjin University, Tianjin 300350, P.R.China
2.
Tianjin Institute of Aerospace Mechanical and Electrical Equipment, Tianjin 300458, P.R.China
3.
Institute of Space System Engineering, China Academy of Space Technology, Beijing 100094, P.R.China

Received Date: 2021-10-28
Rev Recd Date: 2021-11-16

Available Online: 2022-05-23

Publish Date: 2022-06-30

Abstract

Abstract

The circular membrane solar array has attracted extensive attention due to its high storage ratio and strong power supply capability. In order to adjust the tension of large film structures, a tension adjusting device composed of ropes and springs is usually introduced, and its mechanical characteristics are highly nonlinear, with the effects rarely studied yet. Aimed at the tension adjustment, a mechanism model was proposed. The nonlinear dynamics equation for the 2DOF system was established with the Lagrangian energy method. With an engineering prototype as the example, the responses of the tension mechanism with unsymmetrical ribs under resonance excitation were studied. The results show that, the change of the excitation amplitude has an important influence on the characteristics of the beat response of the system. Consequently, the responses of the system exhibit chaotic, almost periodic and multifold periodic phenomena. The research makes an important reference to the parameter design of tension mechanisms.
- tension adjusting unit,
- nonlinearity,
- resonance,
- beat vibration

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References(17)

References

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