具有天线桁架和太阳翼的大型柔性航天器动力学建模与分析

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Applied Mathematical Modelling Pub Date : 2025-08-27 DOI:10.1016/j.apm.2025.116405

Yang Yang , Zhongxiao Zhang , Mei Liu , Hesheng Han , Jin Wei , Dengqing Cao

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引用次数: 0

摘要

本文采用全局模态法（GMM）建立了具有天线桁架和太阳翼的大型柔性航天器的降阶解析动力学模型。首先，分别得到太阳翼、天线桁架和中心平台的运动方程；应用匹配条件和边界条件，推导了系统的特征方程，确定了航天器的固有频率和模态振型，并证明了模态振型的正交性。利用模态振型及其正交性，得到了航天器的降阶解耦动力学方程。将频率方程计算的固有频率与有限元软件ANSYS计算的固有频率进行了比较，验证了本文提出的GMM模型。分析了两种情况下太阳翼和天馈桁架刚度的微小不一致对航天器动力性能的影响。研究结果揭示了航天器模态局部化、模态失谐和模态变化的内在机理，以及太阳翼和天线桁架刚度的微小不一致对航天器振动响应的显著影响。

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Dynamic modeling and analysis for a large flexible spacecraft with antenna trusses and solar wings

In this paper, a reduced-order analytical dynamic model is proposed for a large flexible spacecraft with antenna trusses and solar wings by using the global mode method (GMM). Firstly, the equations that govern motion for the solar wings, antenna trusses, and center platform are obtained, respectively. By applying the matching and boundary conditions, the characteristic equation of the system is derived to determine the natural frequencies and mode shapes of the spacecraft, and the orthogonality of the mode shapes is demonstrated. By using the mode shapes and their orthogonality, the reduced-order decoupled dynamic equations of the spacecraft are obtained. The natural frequencies calculated by the frequency equation are compared with those obtained by the finite element software ANSYS to verify the GMM model proposed in this paper. The influences of the slight inconsistencies in the stiffness of the solar wings and the antenna trusses on the dynamic behavior of the spacecraft for two cases are analyzed. The results reveal the internal mechanism of mode localization, mode mistuning, and mode change of the spacecraft, as well as the significant impact of the slight inconsistencies in the stiffness of the solar wings and antenna trusses on the vibration responses of the spacecraft.

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来源期刊

Applied Mathematical Modelling 数学-工程：综合

CiteScore

9.80

自引率

8.00%

发文量

508

审稿时长

43 days

期刊介绍： Applied Mathematical Modelling focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves multiphysics processes, and contributions in this area are particularly encouraged. This influential publication covers a wide spectrum of subjects including heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimization; finite volume, finite element, and boundary element procedures; modelling of inventory, industrial, manufacturing and logistics systems for viable decision making; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering. Applied Mathematical Modelling is primarily interested in papers developing increased insights into real-world problems through novel mathematical modelling, novel applications or a combination of these. Papers employing existing numerical techniques must demonstrate sufficient novelty in the solution of practical problems. Papers on fuzzy logic in decision-making or purely financial mathematics are normally not considered. Research on fractional differential equations, bifurcation, and numerical methods needs to include practical examples. Population dynamics must solve realistic scenarios. Papers in the area of logistics and business modelling should demonstrate meaningful managerial insight. Submissions with no real-world application will not be considered.