| 太阳帆塔轨道和姿态耦合动力学建模及辛求解 |
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| 引用本文： | 文奋强,邓子辰,魏乙,李庆军.太阳帆塔轨道和姿态耦合动力学建模及辛求解[J].应用数学和力学,2017,38(7):762-768. |
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| 作者姓名： | 文奋强 邓子辰 魏乙 李庆军 |
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| 作者单位： | 西北工业大学 力学与土木建筑学院, 西安 710072 |
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| 基金项目： | 11572254)国家自然科学基金(11432010;11572254)本文作者衷心感谢西北工业大学博士论文创新基金(CX201517;CX201615)对本文的资助 |
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| 摘 要： | 在建立太阳帆塔太阳能电站简化模型的基础上，将系统的动力学方程从Lagrange体系导入到了Hamilton体系，给出了带约束的Hamilton正则方程；进而采用祖冲之类算法和辛Runge-Kutta方法分析了太阳帆塔轨道和姿态耦合系统的动力学特性，并讨论了算法的保能量、保约束特性；最后，数值模拟了系统的动力学特性，说明了所提方法的有效性.
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| 关 键 词： | 太阳帆塔 约束Hamilton系统 祖冲之类算法 保能量 |
| 收稿时间： | 2016-11-03 |
Dynamic Modelling and Symplectic Solution of Coupled Orbit & Attitude for Solar Sail Towers |
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| WEN Fen-qiang,DENG Zi-chen,WEI Yi,LI Qing-jun.Dynamic Modelling and Symplectic Solution of Coupled Orbit & Attitude for Solar Sail Towers[J].Applied Mathematics and Mechanics,2017,38(7):762-768. |
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| Authors: | WEN Fen-qiang DENG Zi-chen WEI Yi LI Qing-jun |
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| Institution: | School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an 710072, P.R.China |
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| Abstract: | A simplified model for solar sail towers was established.Firstly,the dynamic equations for the system were transformed from the Lagrangian system into the Hamiltonian system,and the canonical constrained Hamiltonian equations were obtained.Then the dynamic characteristics of the coupled orbit-attitude system of the solar sail tower were analyzed with the symplectic Runge-Kutta method and the Zu-class method.Energy and constraint conservation problems of the schemes were also investigated.Finally,the dynamic characteristics of the system were numerically simulated.The results illustrate the effectiveness of the proposed method. |
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| Keywords: | solar sail tower constrained Hamiltonian system Zu-class method energy conservation |
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