柔性电子星衣热变形问题的辛几何方法研究

The electronic satellites clothes (ESC), based on flexible electronics technology, are skin circuit board formed by integrating photovoltaic and thermal effects of optical thin film sensor into flexible substrates. The board is attached to the satellite surface to capture the infrared laser and other threats. This technology is effective and desired for acquiring self-defense capability for satellite. The key scientific problem for this technique is to ensure the adaptability of ESC in high-low alternative temperature conditions to meet the needs of structural robustness. .In this project, the interface displacement continuity and stress equilibrium conditions of laminated ESC will be represented by symplectic dual variables. Based on the theory of symplectic elasticity, the analytical model of thermal-structural coupled ESC will be established, and the thermal deformation problem will be described by the symplectic mathematics. Thus, the problem is transformed into a problem of solving high order partial differential equations. Those equations will be solved by the symplectic geometry methods. The symplectic analytical methods and computational methods will be established that can be revealed the thermal deformation mechanism of ESC. Meanwhile, commercial finite element software and experiment will be carried out to verify those results obtained by theoretical analysis and numerical simulations. From this work, those proposed analytical theories and methods will be useful and helpful for the advancement of flexible electronic technology and aerospace applications.

基于柔性电子技术的电子星衣，是将具有光电、光热等效应的光薄膜传感器集成于柔性基板上形成皮肤状电路板，将该电路板附着于卫星表面，从而形成卫星外衣，实现卫星对红外激光等威胁光源感知，提高卫星自卫能力。确保星衣对空间高低温交变环境的适应性，以满足结构鲁棒性设计要求，是星衣研制过程中需要解决的重点科学问题。.本项目在辛体系下，通过引入辛对偶变量，表征星衣层合结构界面位移连续性和应力平衡条件；基于辛弹性力学理论，建立星衣热-结构耦合的分析模型，从辛几何角度对热变形问题进行新的描述，将热变形问题转化为高阶偏微分方程求解问题；采用辛几何方法求解该类方程，从而形成一套辛分析与数值计算方法，揭示柔性电子星衣热变形机理。同时，通过有限元软件模拟和实验测试分析、对主要分析结论进行验证。通过本项目研究，期望为柔性电子技术的航天应用提供理论基础和技术支持。

热变形问题是柔性电子技术在航天蒙皮技术应用中的关键性基础问题。本项目从辛几何角度，基于辛对偶理论和状态空间理论，构建热辐射对电子星衣层合结构的界面位移连续性条件及应力平衡条件，得到电子星衣热-结构耦合辛分析模型。旨在提升电子星衣承受太空高低温交变辐射，本项目将“硬而脆功能梯度压电”薄膜制备在柔性聚酰亚胺上，建立压电型电子星衣辛力学模型，研究表明：调整压电型电子星衣的压电参数，星衣的伸展性、稳定性能够得到改善；同时，发现随着空间温差的增加，星衣失稳区域宽度增加，即定量刻画热辐射对星衣热变形失稳的影响。针对星衣耦合辛模型，基于辛解析方法，解耦求解星衣复杂边界条件问题，得到电子星衣失稳解析解，揭示电子星衣耦合体系的热变形机理；通过辛几何方法数值方法，刻画星衣结构响应与结构材料参数、几何参数和温度变化之间关系，验证数值解及解析解的有效性和优越性。