考虑结构局部变形特性的超长桁架结构等效动力学建模
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国家自然科学基金资助项目(12172213, 61903245),科技部重点研发计划(2018YFB0504802),上海市青年科技启明星计划(19QB1402100)


Equivalent dynamic modeling of super-long truss structure considering local deformation characteristics of structure
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    摘要:

    超长桁架结构是后续高时空分辨率天基遥感载荷的核心部件,建立其高效动力学模型是实现振动形态高精度控制的关键.为建立高效、精确的动力学模型,首先,根据超长桁架结构的周期性特征和振动变形特性,采用周期单元中心处位移表征整体桁架结构的空间位移,并分别推导了是否考虑桁架结构局部变形特性的两种应变能表达式;然后,根据哈密顿原理以及边界条件,建立了两种不同的等效动力学模型.最后,通过对两种等效模型与超长桁架结构固有特性的对比分析,验证了等效建模的有效性以及考虑局部变形特性提高模型精度的必要性.

    Abstract:

    The super-long truss structure is the core component of the subsequent high spatiotemporal resolution spacebased remote sensing load, and the establishment of its efficient dynamic model is the key to achieve high-precision vibration control. In order to establish an efficient and accurate dynamic model, firstly, according to the periodic characteristics and vibration deformation characteristics of the super-long truss structure, the displacement at the center of the periodic element is used to characterize the spatial displacement of the whole truss structure.two kinds of strain energy expressions for considering the local deformation characteristics of the truss structure are derived respectively, and then, according to the Hamiltonian principle and boundary conditions, two different equivalent dynamic models are established. Finally, through the comparative analysis of the inherent characteristics of the two equivalent models and the superlong truss structure, the effectiveness of the equivalent modeling and the necessity of considering the local deformation characteristics to improve the accuracy of the model are verified.

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孙俊,晏筱璇,朱东方,孙杰.考虑结构局部变形特性的超长桁架结构等效动力学建模[J].动力学与控制学报,2023,21(2):49~57; Sun Jun, Yan Xiaoxuan, Zhu Dongfang, Sun Jie. Equivalent dynamic modeling of super-long truss structure considering local deformation characteristics of structure[J]. Journal of Dynamics and Control,2023,21(2):49-57.

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  • 收稿日期:2021-12-07
  • 最后修改日期:2022-04-15
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  • 在线发布日期: 2023-03-23
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