DYNAMIC ANALYSIS OF HOISTING VISCOUS DAMPING STRING WITH TIME-VARYING LENGTH

Abstract This paper addresses the deployment dynamic analysis of antennas mainly composing of deployable truss and cable net. The antennas are deployed by retracting driving cables, which pass through pulleys fixed on the deployable truss successively. An analytical model is first proposed for the driving cable system where the nodal position and the transmission lengths of the cable segment between two adjacent pulleys are selected as the generalized coordinates. This model could simulate the dynamics of the driving cables with time-varying length. Then, the flexible multibody dynamic model of the deployable antenna including the flexible deployable truss and cable net is established. The absolute nodal coordinate formulation is employed to model the flexible deformation of the truss and the tension of the cable net. The method is demonstrated by analyzing the deployment of a cylindrical mesh antenna. The deployment experiment of the antenna shows that the proposed method can correctly predict the driving force and length variation of the driving cables, the bending deformation of the flexible truss, and the deployment process.

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Hybrid modeling for dynamic analysis of cable-pulley systems with time-varying length cable and its application

Journal of Sound and Vibration ◽

10.1016/j.jsv.2017.06.024 ◽

2017 ◽

Vol 406 ◽

pp. 277-294 ◽

Cited By ~ 5

Author(s):

Jing Wang ◽

Zhaohui Qi ◽

Gang Wang

Keyword(s):

Dynamic Analysis ◽

Hybrid Modeling ◽

Time Varying ◽

Varying Length

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Dynamic analysis for a spur geared rotor system with tooth tip chipping based on an improved time-varying mesh stiffness model

Mechanism and Machine Theory ◽

10.1016/j.mechmachtheory.2021.104435 ◽

2021 ◽

Vol 165 ◽

pp. 104435

Author(s):

Yi Yang ◽

Niaoqing Hu ◽

Jinyuan Tang ◽

Jiao Hu ◽

Lun Zhang ◽

...

Keyword(s):

Dynamic Analysis ◽

Rotor System ◽

Time Varying ◽

Mesh Stiffness ◽

Stiffness Model

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Transverse vibration of flexible hoisting rope with time-varying length

Journal of Mechanical Science and Technology ◽

10.1007/s12206-013-1110-y ◽

2014 ◽

Vol 28 (2) ◽

pp. 457-466 ◽

Cited By ~ 9

Author(s):

Ji-hu Bao ◽

Peng Zhang ◽

Chang-Ming Zhu ◽

Wei Sun

Keyword(s):

Transverse Vibration ◽

Time Varying ◽

Varying Length ◽

Flexible Hoisting Rope

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Free Vibration Energy and Period of a String With Time-Varying Length

10.1115/imece2000-2011 ◽

2000 ◽

Author(s):

Seung-Yop Lee

Keyword(s):

Free Vibration ◽

Traveling Waves ◽

Moving Boundary ◽

String Tension ◽

New Technique ◽

Vibration Energy ◽

Time Varying ◽

Constant Rate ◽

Varying Length ◽

A New Technique

Abstract We introduce a new technique to analyze free vibration energy and natural frequencies of a string with time-varying length by dealing with traveling waves. One of boundaries is vertically fixed but it moves axially at a constant rate. When the string length is varied, the free vibration energy and period also change with time. String tension and non-zero instantaneous vertical velocity at the moving boundary results in the energy variation. When the string undergoes retraction, the vibration energy increases with time. The new technique using traveling waves gives the exact amount of energy transferred into the vibrating system at the moving boundary. The free vibration energy are compared with previous results using the perturbation method and Kotera’s approach.

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