转动薄壁圆柱壳行波振动响应分析
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哈尔滨工业大学航天学院,哈尔滨工业大学航天学院,哈尔滨工业大学航天学院

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国家自然科学基金项目(面上项目,重点项目,重大项目)


Response to travelling wave vibration of thin rotating cylindrical shells
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School of Astronautics, Harbin Institute of Technology,School of Astronautics, Harbin Institute of Technology,School of Astronautics, Harbin Institute of Technology

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The National Natural Science Foundation of China (General Program, Key Program, Major Research Plan)

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    摘要:

    考虑由转动引起的科氏力、离心惯性力及环向初应力影响,利用Hamilton原理,建立了基于Sanders壳体理论的转动薄壁圆柱壳振动微分方程。选取满足相应边界条件的轴向梁函数近似地表达各类边界条件下圆柱壳的轴向振型分布。在此基础上,提出了一种适用于求解各种边界约束的转动薄壁圆柱壳行波振动响应的方法。基于此方法,分别针对静坐标系下横向简谐力和恒力作用下的两端固支转动薄壁圆柱壳的行波振动响应进行了求解,并对结果进行了相应分析。

    Abstract:

    Response to travelling wave vibration of thin rotating cylindrical shells with various boundary conditions is investigated. Based on Sanders’ shell theory, the governing equations of motion of the thin rotating cylindrical shells which taken into account the effects of centrifugal and Coriolis forces as well as the initial hoop tension due to rotating are established using Hamilton’s principle. Beam modal function satisfying the required end-conditions at both ends has been used to express the axial modal function of the thin cylindrical shell with similar boundary conditions approximately. Then, through the process of formula derivation, the general solution of the displacement response which is caused by travelling wave vibration is derived. Finally, the general solution obtained is applied to investigate the vibration characteristics of a clamped-clamped thin rotating cylindrical shell subjected to a harmonic point load and a constant point load in the transverse direction, and the results and discussions are presented.

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引用本文

孙述鹏,曹登庆,初世明.转动薄壁圆柱壳行波振动响应分析[J].振动工程学报,2013,26(3).[Sun Shupeng, Cao Dengqing. Response to travelling wave vibration of thin rotating cylindrical shells[J]. Journal of Vibration Engineering,2013,26(3).]

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历史
  • 收稿日期:2011-10-19
  • 最后修改日期:2013-06-04
  • 录用日期:2013-03-15
  • 在线发布日期: 2013-07-05
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