Nonflatness of Solar Sail Membrane Predicted by Nonlinear Finite Element Analyses

This paper identifies the possible causes of two phenomena observed in the membrane of the solar sail IKAROS: its nonflat shape and high out-of-plane stiffness. IKAROS’ flight data showed that the sail was significantly nonflat. In addition, the out-of-plane deformation of the membrane was smaller than that predicted preflight by numerical simulations, which indicates higher out-of-plane stiffness than expected. This study hypothesized that the initial deformation of the membrane could have been induced by the curvatures of the thin film solar cells and the reflection control devices attached on the sail. The effects of the curvatures on the sail shape were examined through geometrically nonlinear finite element analyses of a 1/4 IKAROS membrane with shell elements. The analysis results indicated that the on-orbit IKAROS membrane could be nonflat owing to the propagation of wrinkles throughout the membrane induced by the curvature of the thinfilm components. Furthermore, the out-of-plane deformation of the sail under solar pressure became very small when the entire sail was wrinkled, which explains IKAROS’ on-orbit phenomena.

[1]  Nobukatsu Okuizumi,et al.  Vibration Mode Analysis of a Rotating Circular Membrane under Transverse Distributed Load , 2009 .

[2]  Ryu Funase,et al.  Generalized Attitude Model for Spinning Solar Sail Spacecraft , 2013 .

[3]  M. Natori,et al.  Quantifying Square Membrane Wrinkle Behavior Using MITC Shell Elements , 2004 .

[4]  Tomoshi Miyamura,et al.  Wrinkling on stretched circular membrane under in-plane torsion: , 2000 .

[5]  Daniel J. Scheeres,et al.  Generalized Model for Solar Sails , 2005 .

[6]  Hirotaka Sawada,et al.  A Study on Membrane Dynamics and Deformation of Solar Power Sail Demonstrator "IKAROS" , 2011 .

[7]  John D. Johnston,et al.  Corner Wrinkling of a Square Membrane Due to Symmetric Mechanical Loads , 2002 .

[8]  Frank Abdi,et al.  Wrinkling Analysis of A Kapton Square Membrane under Tensile Loading , 2003 .

[9]  M. C. Natori,et al.  A Spectrum Evaluation Method for Wrinkled Membranes Using Two-Dimensional Fast Fourier Transform , 2004 .

[10]  Martin M. Mikulas,et al.  Application of a wrinkled membrane finite element approach to advanced membrane structures , 2001 .

[11]  Hirotaka Sawada,et al.  Flight status of IKAROS deep space solar sail demonstrator , 2011 .

[12]  Nobukatsu Okuizumi Numerical Simulations of Centrifugal Deployments of Membranes by Spring-Mass System Models , 2010 .

[13]  Hiroshi Furuya,et al.  Conserving Finite Element Dynamics of Gossamer Structure and Its Application to Spinning Solar Sail "IKAROS" , 2011 .

[14]  S. Pellegrino,et al.  Wrinkled membranes III: numerical simulations , 2006 .

[15]  David W. Sleight,et al.  Simulating Nonlinear Deformations of Solar Sail Membranes Using Explicit Time Integration , 2004 .

[16]  Jack Leifer,et al.  Prediction of Wrinkle Amplitudes in Thin Film Membranes Using Finite Element Modeling , 2003 .

[17]  Michihiro Natori,et al.  EFFICIENT MODIFICATION SCHEME OF STRESS-STRAIN TENSOR FOR FINITE ELEMENT ANALYSIS OF WRINKLED MEMBRANES , 2003 .

[18]  Sergio Pellegrino,et al.  Nonlinear Vibration of Wrinkled Membranes , 2003 .

[19]  John Wang,et al.  Effective Modeling and Nonlinear Shell Analysis of Thin Membranes Exhibiting Structural Wrinkling , 2005 .

[20]  John D. Johnston,et al.  Analytical and Experimental Characterization of Gravity Induced Deformations In Subscale Gossamer Structures , 2004 .

[21]  S. Pellegrino,et al.  Computation of Wrinkle Amplitudes in Thin Membranes , 2002 .

[22]  Hirotaka Sawada,et al.  Achievement of IKAROS — Japanese deep space solar sail demonstration mission , 2013 .

[23]  M. Natori,et al.  Evaluation of Tension Field Theory for Wrinkling Analysis With Respect to the Post-Buckling Study , 2004 .

[24]  Hiroshi Furuya,et al.  Analysis of Membrane Dynamics using Multi-Particle Model for Solar Sail Demonstrator "IKAROS" , 2011 .

[25]  J. Hedgepeth,et al.  ANALYSIS OF PARTLY WRINKLED MEMBRANES , 1961 .

[26]  Hiraku Sakamoto,et al.  Finite Element Modeling of Sail Deformation Under Solar Radiation Pressure , 2007 .

[27]  M. Natori,et al.  Spectrum Evaluation Method for Wrinkled Membranes , 2005 .

[29]  Sergio Pellegrino,et al.  Systematically Creased Thin-Film Membrane Structures , 2008 .

[30]  Hiroshi Furuya,et al.  Mission Report on The Solar Power Sail Deployment Demonstration of IKAROS , 2011 .

[31]  R. K. Miller,et al.  An algorithm for finite element analysis of partly wrinkled membranes , 1982 .

[32]  Daniel J. Scheeres,et al.  Solar-Sail Navigation: Estimation of Force, Moments, and Optical Parameters , 2007 .

[33]  Junichiro Kawaguchi,et al.  Flight result and analysis of solar sail deployment experiment using S-310 sounding rocket , 2005 .

[34]  Yasuyuki Miyazaki,et al.  Wrinkle/slack model and finite element dynamics of membrane , 2006 .