Dynamic modeling and analytical global mode shapes of a folded beam-ring structure for a truss antenna reflector with two arms

Wu, Ruiqin; Zhang, W.; Chen, Jianen; Feng, Jingjing; Wei, Hu

doi:10.1016/j.apm.2022.06.015

Cited by 9 publications

(4 citation statements)

References 32 publications

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“…He et al [10] simplified a large flexible spacecraft as a central rigid body, hinged it with two groups of multi-panel structures, and obtained discrete dynamic equations using the GMM. Wu et al [11] established an analytical dynamic model of a ring truss antenna structure using the GMM and compared the vibration mode and frequency obtained by this method with those obtained by commercial finite element software to verify the reliability of this method. Then, they analyzed the influence of geometric and physical parameters on the natural frequency of the structure.…”

Section: Introductionmentioning

confidence: 99%

Modeling and Disturbance Compensation Sliding Mode Control for Solar Array Drive Assembly System

et al. 2023

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In this study, a dynamic model of a solar array drive system that includes a pair of flexible solar arrays with a central rigid shaft and a permanent-magnet synchronous motor (PMSM) was developed, and a disturbance compensation sliding mode control (DCSMC) strategy was proposed to realize the speed smoothing and vibration suppression control of the system. The continuous nonlinear dynamic equation of the system was derived from Hamilton’s principle, and its linearized form was combined with the boundary conditions to obtain its natural frequency and global mode. The design of the DCSMC strategy was based on the solar array drive assembly (SADA) electromechanical dynamics model of the PMSM direct drive. An extended state observer (ESO) was used to estimate any system disturbances, and the signal was fed forward to sliding mode control (SMC) based on the varying gain saturation reaching law (VGSRL). To verify the validity of the model, its results were compared with those obtained using commercial finite element software. The numerical results showed that the SADA system with the DCSMC strategy outperformed the traditional proportional–integral (PI) control and SMC systems.

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Section: Introductionmentioning

confidence: 99%

Modeling and Disturbance Compensation Sliding Mode Control for Solar Array Drive Assembly System

et al. 2023

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“…Therefore, to provide further guidance for the structural design and vibration suppression of the HTAs, it is crucial to investigate and predict nonlinear dynamic behaviors of 3:1 internal resonance of the HTAs thoroughly. The dynamic simplification of hoop truss antennas with simple elastic continuum models, such as the equivalent ring [6,7], the equivalent shell [8][9][10][11][12], and the beam-ring structure [13] have been proposed to conduct effective dynamic analysis of HTAs. Liu et al [6] investigated the natural characteristics of a hoop truss based on the presented equivalent circular ring model, in which the equivalent beams are established to simplify the repetitive units of the circular truss [7].…”

Section: Introductionmentioning

confidence: 99%

“…Liu et al [12] took the nonlinear elastic excitation to simplify the dynamic effect of membranes, investigated the dynamic coupling between hoop truss antenna and reflector meshes. Based on the structure characteristics of hoop truss antenna, Wu et al [13] presented the beam-ring model to simplify the stretching-arms-connected antenna. Fang et al [14] proposed the threedimensional global mode approach to establish a complete and multi-coupling dynamic model of a ring antenna.…”

Section: Introductionmentioning

confidence: 99%

“…However, to achieve the deployable function, HTAs are actually built up by a number of closed hingeconnected periodic components. The hinge introduces additional degrees of freedom to the system, therefore, the single continuum model [6][7][8][9][10][11][12][13] cannot describe the dynamical characteristics of hinge-articulated structures. Moreover, the nonlinear torque transmission characteristics of the flexible hinges play an essential role in the dynamic behaviors of large-scale HTAs, which need to be thoroughly considered.…”

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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Dynamic Analysis of a Multiple-Span Curved Truss Supported by Geometrical Nonlinear System

Zhang

Cao

2023

Iran J Sci Technol Trans Mech Eng

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Dynamic modeling and analytical global mode shapes of a folded beam-ring structure for a truss antenna reflector with two arms

Cited by 9 publications

References 32 publications

Modeling and Disturbance Compensation Sliding Mode Control for Solar Array Drive Assembly System

Modeling and Disturbance Compensation Sliding Mode Control for Solar Array Drive Assembly System

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

Dynamic Analysis of a Multiple-Span Curved Truss Supported by Geometrical Nonlinear System

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