Mechanical Behaviors Analysis of Solar Sail Membrane Considering Solar Pressure and Thermal Load
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.
Solar sailFlutter suppressionStatic deformationSolar radiation heatChaotic motion
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