Nonlinear dynamic modeling and responses of a cable dragged flexible spacecraft

Fang, Bo; Cao, Dengqing; Chen, Chao; Chen, Shuai

doi:10.1016/j.jfranklin.2022.02.015

Cited by 11 publications

(4 citation statements)

References 32 publications

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“…Fang et al used the global modal method (GMM) to establish a new dynamic model of cable-towed flexible spacecraft for SDRS vibration analysis. The comparison between this method and the finite element calculation results verifies the effectiveness of this method [13]. Liu et al conducted dynamic modeling of flexible spacecraft based on global modal method [14,15].…”

Section: Introductionmentioning

confidence: 70%

Natural Characteristics Analysis for the Spacecraft Equipped with Constructed Cantilever Solar Panels

et al. 2022

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The power series polynomial constraining method is proposed in this paper. The dynamical model of the cantilever plate can be established by applying the constraint, which is different from the traditional polynomial. Firstly, the characteristic orthogonal polynomial was used to describe the displacement field of the rectangular plate of which all edges are free. Then the four-sided free plate was equivalent to cantilever plate by power series multiplier constraint method. The characteristic equation of the constructed cantilever plate was obtained by the Rayleigh–Ritz method. Natural frequencies and modal shapes of the plate were obtained by solving the characteristic equation. Next, the proposed method was adopted to establish dynamical model of a pair of solar panels clamped on the central platform symmetrically. The convergence of the proposed method was verified by comparing the calculated results of the cantilever plate with that of the finite element software ANSYS 15.0. The optimum order the power series polynomial was obtained by comparing different results. The analysis of the dynamical characteristics of the cantilever plate and the spacecraft demonstrates the validation of the proposed method. This method can provide a new idea for the plate with local edge constrained.

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Section: Introductionmentioning

confidence: 70%

Natural Characteristics Analysis for the Spacecraft Equipped with Constructed Cantilever Solar Panels

et al. 2022

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“…In particular, the HTA is a typical lowfrequency and dense-frequency structure, due to the cubic nonlinearity of the hinge, the HTA is easily excited to exhibit a complicated and large-amplitude internal resonance, which interferes the regular operation of the satellite. Although the dynamics of articulated structures [20,21] have received considerable attention, the internal resonances of articulated structures that induce complicated nonlinear dynamic behaviors still require extensive investigation and analysis.…”

Section: Introductionmentioning

confidence: 99%

“…Fang et al [21] analyzed the influence of the joint's key parameters on the nonlinear vibrations of the cabledragged spacecraft, and observed typical nonlinear phenomena caused by the nonlinearity of hinges. The flexible hinges in the HTA system inevitably introduce strong nonlinearity into the system, the HTA is easily to be excited by orbital maneuvering to induce nonlinear vibrations.…”

Section: Introductionmentioning

confidence: 99%

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Theoretical analysis of nonlinear dynamic behaviors of an articulated hoop truss antenna with 3:1 internal resonance

Fang,

WANG,

et al. 2023

Preprint

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The dynamic behaviors of large-scale hoop truss antennas (HTAs) are significantly influenced by the nonlinear torque transmission properties of flexible hinges. Due to the nonlinearity of hinge, the HTR can be easily excited to exhibit internal resonances that result in the energy exchanging between the adjacent two or three modes. This paper focuses on the 3:1 internal resonant response of an articulated HTR induced by the nonlinearity of hinge. The analytical modes are obtained by using the global mode method (GMM), and are validated by finite element method (FEM). Then the partial differential equations (PDEs) of planar motions are discretized into ordinary differential equations (ODEs) by Galerkin’s technique. The multiple time scale method is employed to obtain the four-dimensional modulation equations of HTA with primary and 3:1 internal resonance. By using Newton-Raphson iteration and pseudo arclength continuation, frequency-response and force-response curves are obtained to investigate the theoretical steady-state vibrations of HTA. Moreover, the influence of the cubic spring stiffness, damping, and external excitation amplitude on the system’s nonlinear dynamic behaviors are investigated. The numerical simulation reveals that the articulated multi-beam hoop structure exhibits typical nonlinear phenomena such as hardening-spring type characteristic, jumps, bi-stability and double peaks. The research findings contribute to the development of a comprehensive framework for analyzing internal resonances in a class of hinge-connected flexible structures.

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Stochastic responses of nonlinear inclined cables with an attached damper and random excitations

Gu,

Zhang,

Mughal

et al. 2024

Nonlinear Dyn

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Nonlinear dynamic modeling and responses of a cable dragged flexible spacecraft

Cited by 11 publications

References 32 publications

Natural Characteristics Analysis for the Spacecraft Equipped with Constructed Cantilever Solar Panels

Natural Characteristics Analysis for the Spacecraft Equipped with Constructed Cantilever Solar Panels

Theoretical analysis of nonlinear dynamic behaviors of an articulated hoop truss antenna with 3:1 internal resonance

Stochastic responses of nonlinear inclined cables with an attached damper and random excitations

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