Dynamic analysis of the flexible hub-beam system based on rigid-flexible coupling mechanism

Guo, Xiaowei; Yang, Xin; Liu, Fuqiang; Liu, Zhangfang

doi:10.1177/1464419320914821

Cited by 2 publications

(4 citation statements)

References 29 publications

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“…Equation (18) has initial conditions T j ð0Þ ¼ 0, T j 'ð0Þ ¼ 0 and time increment step Δt. After obtaining the solutions T j ðΔtÞ, T j ð2ΔtÞ of equation ( 18) at initial time Δt, 2Δt by using the central difference method, Houbolt method gets started to find the solutions T j after time 2Δt.…”

Section: Methods For Solving the Differential Equation Of The Rings M...mentioning

confidence: 99%

“…After obtaining the solutions T j ðΔtÞ, T j ð2ΔtÞ of equation ( 18) at initial time Δt, 2Δt by using the central difference method, Houbolt method gets started to find the solutions T j after time 2Δt. Referring to Houbolt method, the iterative relationship of equation (18) about time is as follows.…”

Section: Methods For Solving the Differential Equation Of The Rings M...mentioning

confidence: 99%

“…When the hub and chains are viewed as rigid bodies because of their fewer deformations, it can set a rigid-flexible coupling model with the elastic rings. The rigid-flexible coupling method generally has two ways: mathematical modeling 16,17,18 or software modeling. 19,20,21 Mathematical model can benefit parameter analyses and avoid software settings.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Radial stiffness analysis of circular ring with uncertain boundary conditions: Mechanical elastic wheel as an example

Zhang

Zhao

Feng

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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The paper studies the radial stiffness of mechanical elastic wheel (MEW), which is regarded as a circular ring with uncertain boundary conditions for the first time, and proposes a ring-chain model to solve the radial stiffness of the ring. Different from assuming the boundary conditions by experience or building finite element model with complex processes from previous researches, the ring-chain model coupling circular ring model and dynamics of multi-rigid body is accurate and simple to find the loaded positions of ring and make the boundary conditions clear. The results show that the ring-chain model can be solved to get the deformations and loaded positions of ring, the radial stiffness of MEW is large, and the radial displacement of MEW increases non-linearly. The results are consistent with that from finite element model under the same settings, but the time cost of ring-chain model is less. In addition, the influence factors of ring radial stiffness are also found and analyzed. The method presented in this paper can provide data for the response analyses of vehicle and references for the analysis of circular ring with uncertain boundary conditions.

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Section: Methods For Solving the Differential Equation Of The Rings M...mentioning

confidence: 99%

Section: Methods For Solving the Differential Equation Of The Rings M...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Radial stiffness analysis of circular ring with uncertain boundary conditions: Mechanical elastic wheel as an example

Zhang

Zhao

Feng

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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show abstract

“…The nonlinear dynamic equations, which remain the second-order coupling terms of axial displacement caused by the transverse motion of solar arrays, were obtained by using the Hamilton principle. The dynamic model of a flexible hub-beam-tip mass system is established and researched by Guo et al [11]. Axisa and Trompette [12] presented a problem concerning the free vibrations of a set of n axially loaded stretched Bernoulli-Euler beams connected by elastic layers.…”

Section: Introductionmentioning

confidence: 99%

Rigid-Flexible Coupled Dynamic and Control for Thermally Induced Vibration and Attitude Motion of a Spacecraft with Hoop-Truss Antenna

Liu

Qian

et al. 2022

Applied Sciences

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As space exploration activities are developing rapidly, spacecraft with large antennas have gained wide acceptance in providing reliable telecommunications and astrophysical observations. In this paper, the dynamic responses and control strategy for a spacecraft with a large hoop-truss antenna under solar flux shock are studied. According to the momentum and angular momentum principle, the rigid-flexible coupled rotational dynamic equation and the translational dynamic equation of the system are established, which include the attitude motion of the rigid main body and the vibration of the antenna. Then, a finite element model of the antenna is established to analytically obtain the corresponding vibration modal shape matrix and natural frequencies. Last, the coupled responses for the attitude motion and vibration are investigated. The corresponding control strategy is designed based on a double-loop structure sliding mode control method. The Lyapunov method is used to demonstrate the global asymptotic stability of the system. Simulations verify the effectiveness of the proposed rigid-flexible coupled model and control strategy.

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Dynamic analysis of the flexible hub-beam system based on rigid-flexible coupling mechanism

Cited by 2 publications

References 29 publications

Radial stiffness analysis of circular ring with uncertain boundary conditions: Mechanical elastic wheel as an example

Radial stiffness analysis of circular ring with uncertain boundary conditions: Mechanical elastic wheel as an example

Rigid-Flexible Coupled Dynamic and Control for Thermally Induced Vibration and Attitude Motion of a Spacecraft with Hoop-Truss Antenna

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