Geodesic
Mathematical modelling of deployment of large-area solar array
Matematičeskoe modelirovanie i čislennye metody, no. 2 (2014), pp. 101-114 Cet article a éte moissonné depuis la source Math-Net.Ru

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We have built a mathematical model for deployment of multibody solar array with a cable system of deployment. On the basis of analysis of the kinematic scheme of deployment system we have chosen the dimensions of the radii of the rollers and gear ratio of the two types of gear mechanisms which provide the preset sequence of fixation of sections. We used Lagrange equation of the second kind for studying deployment of the solar battery array. A distinctive feature of this approach is application of iterative method for taking into account deformation of the cables of synchronizing system. The mathematical model can be used to choose optimal design factors and deployment system performance requirements. It is also valuable for dealing with worst-case situations and verifying the reliability of deployment procedure.
Keywords: Mathematical modelling, cable deployment system, multybody structure, solar array. 
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A. Yu. Bushuev; B. A. Farafanov. Mathematical modelling of deployment of large-area solar array. Matematičeskoe modelirovanie i čislennye metody, no. 2 (2014), pp. 101-114. http://geodesic.mathdoc.fr/item/MMCM_2014_2_a5/

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