考虑光压力和热载荷的太阳帆薄膜力学行为分析  

Mechanical Behaviors Analysis of Solar Sail Membrane Considering Solar Pressure and Thermal Load

作　　者：陈金铎 史爱明[1] 樊世超[2] CHEN Jinduo;SHI Aiming;FAN Shichao(School of Aeronautics,Northwestern Polytechnical University,Xi’an 710072,China;Beijing Institute of Spacecraft Environment Engineering,Beijing 100094,China)

机构地区：[1]西北工业大学航空学院,西安710072 [2]北京卫星环境工程研究所,北京100094

出　　处：《宇航学报》2024年第1期74-80,共7页Journal of Astronautics

基　　金：航天五院CAST-BISEE基金(MC010175)。

摘　　要：基于冯卡门板理论描述薄膜结构大变形,耦合光压力与热载荷,构建10μm量级薄膜非线性动力学主控方程。采用伽辽金离散方法和龙格-库塔推进方法数值求解方程时域解,并引入最大李雅普诺夫指数判别薄膜混沌运动。分析表明,法向光压力远大于切向光压力并抑制薄膜动力学颤振,仅计入光压力时,太阳帆膜呈静变形特征。当计入的光辐射热载荷达到临界值后,考虑切向光压力与法向光压力的薄膜都呈现动力学混沌运动。综上,光压力抑制太阳帆薄膜颤振,热载荷导致薄膜进入混沌运动。The von Kármán deflection theory is used to model the membrane structure to consider the large deflection of membrane,and the nonlinear dynamic equation is built considering solar pressure and thermal loading for a membrane with the thickness at the order of ten micrometers.The Galerkin method and the Runge-Kuta method are used to solve the equation,the largest Lyapunov exponent(LLE)is introduced to measure the chaotic motion.The result shows the normal solar pressure is far larger than the tangent solar pressure exerted on the membrane,and the normal solar pressure suppresses flutter of membrane.Therefore,when only the solar pressure is considered,the membrane undergoes static deformation rather than flutter.When the thermal loading is considered,the membrane becomes chaotic motion if the thermal load increases larger than the critical value.The solar pressure suppresses flutter of membrane,the thermal load is the key factor inducing chaotic motion of membrane.

关 键 词：太阳帆 颤振抑制 静变形 光辐射热 混沌运动 

分 类 号：V414.1[航空宇航科学与技术—航空宇航推进理论与工程]