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基于多尺度方法的平动圆柱贮箱航天器刚--液耦合动力学研究

李晓玉 岳宝增

李晓玉, 岳宝增. 基于多尺度方法的平动圆柱贮箱航天器刚--液耦合动力学研究[J]. 力学学报, 2019, 51(5): 1448-1454. doi: 10.6052/0459-1879-19-111
引用本文: 李晓玉, 岳宝增. 基于多尺度方法的平动圆柱贮箱航天器刚--液耦合动力学研究[J]. 力学学报, 2019, 51(5): 1448-1454. doi: 10.6052/0459-1879-19-111
Li Xiaoyu, Yue Baozeng. STUDY ON THE RIGID-LIQUID COUPLING DYNAMICS OF A CYLINDRICAL-TANK SPACECRAFT IN TRANSLATION BASED ON MUTI-SCALE METHOD[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(5): 1448-1454. doi: 10.6052/0459-1879-19-111
Citation: Li Xiaoyu, Yue Baozeng. STUDY ON THE RIGID-LIQUID COUPLING DYNAMICS OF A CYLINDRICAL-TANK SPACECRAFT IN TRANSLATION BASED ON MUTI-SCALE METHOD[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(5): 1448-1454. doi: 10.6052/0459-1879-19-111

基于多尺度方法的平动圆柱贮箱航天器刚--液耦合动力学研究

doi: 10.6052/0459-1879-19-111
基金项目: 1) 国家自然科学基金资助项目(11472041);国家自然科学基金资助项目(11532002);国家自然科学基金资助项目(11772049)
详细信息
    通讯作者:

    岳宝增

  • 中图分类号: V41

STUDY ON THE RIGID-LIQUID COUPLING DYNAMICS OF A CYLINDRICAL-TANK SPACECRAFT IN TRANSLATION BASED ON MUTI-SCALE METHOD

  • 摘要: 以充液航天器为工程背景,借助多尺度方法研究刚--液耦合动力学系统非线性动力学特性.利用多维模态方法,将描述横向外激励下圆柱贮箱中液体非线性晃动的自由边界问题转换为液体模态系数相互耦合的有限维非线性常微分方程组.推导液体晃动产生的作用于贮箱壁的晃动力和晃动力矩的解析表达式,进而建立航天器刚体部分平动和液体晃动耦合的非线性动力学方程组.应用多尺度方法对刚--液耦合系统的动力学特性进行解析分析,通过固有频率的特征方程求解耦合系统固有频率,推导外激励频率接近耦合系统第一阶固有频率时液体晃动稳态解的幅值频率响应方程.结合数值方法,研究了液体晃动稳态解的幅值频率响应曲线和激励--幅值响应曲线.结果表明, 随充液比变化,液体晃动稳态解的幅值频率响应曲线会发生软、硬弹簧特性转换现象和"跳跃"现象;幅值频率响应曲线的软、硬弹簧特性转换点受重力加速度和弹簧刚度系数影响;以上所得研究结果表明,考虑非线性效应时的刚--液耦合系统动力学特性与传统的线性系统模型所显示的动力学特性具有本质区别.本文的研究工作对进一步分析充液航天器刚--液耦合非线性动力学特性具有重要参考价值.

     

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出版历程
  • 收稿日期:  2019-04-29
  • 刊出日期:  2019-09-18

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