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超空泡运动体圆柱薄壳的非线性动力屈曲分析

王杰方 安海 安伟光

王杰方, 安海, 安伟光. 超空泡运动体圆柱薄壳的非线性动力屈曲分析[J]. 力学学报, 2016, 48(1): 181-191. doi: 10.6052/0459-1879-15-222
引用本文: 王杰方, 安海, 安伟光. 超空泡运动体圆柱薄壳的非线性动力屈曲分析[J]. 力学学报, 2016, 48(1): 181-191. doi: 10.6052/0459-1879-15-222
Wang Jiefang, An Hai, An Weiguang. THE NONLINEAR DYNAMIC BUCKLING ANALYSIS OF A THIN-WALLED CYLINDRICAL SHELL OF SUPERCAVITATING VEHICLES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(1): 181-191. doi: 10.6052/0459-1879-15-222
Citation: Wang Jiefang, An Hai, An Weiguang. THE NONLINEAR DYNAMIC BUCKLING ANALYSIS OF A THIN-WALLED CYLINDRICAL SHELL OF SUPERCAVITATING VEHICLES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(1): 181-191. doi: 10.6052/0459-1879-15-222

超空泡运动体圆柱薄壳的非线性动力屈曲分析

doi: 10.6052/0459-1879-15-222
基金项目: 国家科技部国际合作专项资助项目(2012DFR00070).
详细信息
    通讯作者:

    安海,副教授,主要研究方向:结构可靠性.E-mail:anhai@hrbeu.edu.cn

  • 中图分类号: O343.9

THE NONLINEAR DYNAMIC BUCKLING ANALYSIS OF A THIN-WALLED CYLINDRICAL SHELL OF SUPERCAVITATING VEHICLES

  • 摘要: 超空泡运动体的动力屈曲失稳具有隐蔽性、突发性和危险性, 因而必须研究清楚运动体的失稳区域边界及失稳振幅. 将超空泡运动体模拟成受轴向周期载荷作用的细长圆柱薄壳, 给出非线性几何方程、物理方程和平衡方程, 建立细长圆柱薄壳带有非线性项的动力屈曲微分方程组; 依据非线性项的形式, 给出合理的非线性位移表达式, 得到具有周期性系数的非线性横向振动微分方程; 采用伽辽金变分法和和鲍洛金方法, 获得带有周期性系数和非线性项的马奇耶方程; 求解非线性马奇耶方程, 得到第一、第二阶不稳定区域内的定态振动振幅的解析表达式; 绘制超空泡运动体的非线性参数共振曲线, 分析航行速度、载荷比例系数、轴向载荷频率和振型对参数共振曲线的影响. 以上研究为建立基于参数共振的圆柱薄壳动力失稳的可靠性分析及基于参数共振可靠性的结构动力优化设计的奠定了理论基础.

     

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出版历程
  • 收稿日期:  2015-06-16
  • 修回日期:  2015-09-10
  • 刊出日期:  2016-01-18

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