Thermo-flexible coupled modeling and active control of thermally induced vibrations for a flexible plate

IF 6.6 1区 工程技术 Q1 ENGINEERING, CIVIL Thin-Walled Structures Pub Date : 2025-06-01 Epub Date: 2025-02-15 DOI:10.1016/j.tws.2025.113092
Xuan Sun, Jiaxi Jin, Zhaobo Chen
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Abstract

Flexible spacecraft exhibit thermal-structural coupled effects in space thermal environment, leading to issues such as thermally induced deformations and vibrations. It is crucial to accurately predict the thermally induced dynamic behaviors of space structures and to actively control them. Accordingly, an integrated computational framework is constructed to work out the multi-physics coupled problem by synchronously solving the displacement and temperature fields. Firstly, the coupled thermoelasticity of the model is characterized by the thermo-flexible fully parameterized absolute nodal coordinate formulation (ANCF), wherein temperature gradients, utilized as nodal coordinates, are directly employed to calculate the temperature difference between arbitrary points. The viscoelastic constitutive relationship of the material is considered based on the Kelvin-Voigt model. Secondly, a comprehensive thermal analysis of the complicated space environment is conducted, and the transient heat conduction equation incorporating thermal radiation is derived via the weighted residual method. Furthermore, several numerical examples are analyzed, and corresponding finite element models are established to validate the effectiveness and accuracy of the developed coupling method. Subsequently, the temperature gradient feedback (TGF) control law is established by employing thermal actuators mounted on the structure's surface. Controlling thermal bending moments, generated by the temperature gradients resulting from the heat fluxes of the heaters, are used for active vibration suppression. Finally, the effects of different parameters on thermally induced vibrations in a cantilevered plate and corresponding active control strategies are examined. The findings in this work provide theoretical foundations and practical significance for predicting and actively controlling thermally induced responses in large flexible space structures.
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柔性板热柔耦合建模及热激振动主动控制
柔性航天器在空间热环境中表现出热-结构耦合效应,导致热致变形和振动等问题。准确预测空间结构的热致动力学行为并对其进行主动控制至关重要。在此基础上,构建了一个集成计算框架,通过同步求解位移场和温度场来求解多物理场耦合问题。首先,采用热柔性全参数化绝对节点坐标公式(ANCF)表征模型的耦合热弹性,以温度梯度作为节点坐标,直接计算任意点之间的温差。基于Kelvin-Voigt模型考虑了材料的粘弹性本构关系。其次,对复杂的空间环境进行了全面的热分析,利用加权残差法推导了考虑热辐射的瞬态热传导方程;通过数值算例分析,建立了相应的有限元模型,验证了所提出的耦合方法的有效性和准确性。随后,利用安装在结构表面的热致动器建立温度梯度反馈(TGF)控制律。控制由加热器热流引起的温度梯度产生的热弯矩,用于主动抑制振动。最后,研究了不同参数对悬臂板热激振动的影响以及相应的主动控制策略。研究结果为预测和主动控制大型柔性空间结构的热致响应提供了理论基础和现实意义。
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来源期刊
Thin-Walled Structures
Thin-Walled Structures 工程技术-工程:土木
CiteScore
9.60
自引率
20.30%
发文量
801
审稿时长
66 days
期刊介绍: Thin-walled structures comprises an important and growing proportion of engineering construction with areas of application becoming increasingly diverse, ranging from aircraft, bridges, ships and oil rigs to storage vessels, industrial buildings and warehouses. Many factors, including cost and weight economy, new materials and processes and the growth of powerful methods of analysis have contributed to this growth, and led to the need for a journal which concentrates specifically on structures in which problems arise due to the thinness of the walls. This field includes cold– formed sections, plate and shell structures, reinforced plastics structures and aluminium structures, and is of importance in many branches of engineering. The primary criterion for consideration of papers in Thin–Walled Structures is that they must be concerned with thin–walled structures or the basic problems inherent in thin–walled structures. Provided this criterion is satisfied no restriction is placed on the type of construction, material or field of application. Papers on theory, experiment, design, etc., are published and it is expected that many papers will contain aspects of all three.
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