Studies on global analytical mode for a three-axis attitude stabilized spacecraft by using the Rayleigh–Ritz method

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• 作者：Lun Liu ; Dengqing Cao ; Xiaojun Tan
• 关键词：Flexible spacecraft ; Rigid–flexible coupling system ; Modal characteristic ; Orthogonal polynomial ; Rayleigh–Ritz method
• 刊名：Archive of Applied Mechanics (Ingenieur Archiv)
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：86
• 期：12
• 页码：1927-1946
• 全文大小：4,563 KB
• 刊物类别：Engineering
• 刊物主题：Theoretical and Applied Mechanics
  Mechanics
  Complexity
  Fluids
  Thermodynamics
  Systems and Information Theory in Engineering
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-0681
• 卷排序：86

文摘

With extending the Rayleigh–Ritz procedure to study the hub-plate system, the characteristics of global analytical modes are addressed for a typical rigid–flexible coupling dynamic system, i.e., a three-axis attitude stabilized spacecraft installed with a pair of solar arrays. The displacement field of the solar arrays is expressed as a series of admissible functions which is a set of characteristic orthogonal polynomials generated directly by employing Gram–Schmidt process. The rigid body motion of spacecraft is represented by the product of constant and generalized coordinate. Then, through Rayleigh–Ritz procedure, the eigenvalue equation of the three-axis attitude stabilized spacecraft installed with a pair of solar arrays is derived. Solving this eigenvalue equation, the frequencies and analytical expressions of global modes for the flexible spacecraft are obtained. To validate the present analysis, comparisons between the results of the present method and ANSYS software are performed and very good agreement is achieved. The convergence studies demonstrate the high accuracy, excellent convergence and high efficiency of the present approach. Finally, the method is applied to study the characteristics of global modes of the flexible spacecraft.