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集中质量对Beck杆动力特性的影响 被引量：1

Dynamic characteristics of Beck's column with concentrated mass
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摘要 目的研究含有末端集中质量的Beck杆的动力特性。方法采用解析法进行研究,分析了端部集中质量对杆的一、二阶频率和随从力临界值的影响。结果建立计算模型,导出运动微分方程。结论末端质量对Beck杆稳定性有一定的影响。 Aim To investigate the dynamic characteristics of Beck＇s column with concentrated mass at the end. Methods The analytical method is used to resolve the problem. Results The effect of concentrated mass at the end on the first frequency and follower force critical value is analyzed. The mathematical models are found. The differential equation of the motion is given. Conclusion The concentrated mass at the end can influence the stability of Beck＇s column greatly.
作者 杨峰 李天恩 韩刚耀
机构地区 西安理工大学理学院 宝鸡文理学院机电工程系 渭南市供电局
出处 《宝鸡文理学院学报（自然科学版）》 CAS 2007年第4期321-323,共3页 Journal of Baoji University of Arts and Sciences(Natural Science Edition)
关键词 Beck杆 随从力 集中质量 解析法 Beck＇ s column follower force concentrated mass mathematical met hod
分类号 O326 [理学—一般力学与力学基础]
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参考文献7

  • 1REUT V I. About the theory of elastic stability[J]. Proceedings of the Odessa Institute of Civil and Communal Engineering, 1939(1) : 126-138.
  • 2BECK M. Die knicklast des einseitig eingespannten tangential gedru^..ckten stabes [J]. Z Angew Math Phys, 1952,3:225-228;476-477(E).
  • 3KOITER W T. Unrealistic follower forces[J].J Sound Vib, 1996,194:636-638.
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同被引文献9

  • 1ISAAC ELISHAKOFF. Controversy associated with the so-called "follower forces"~ Critical overview[J]. Applied Mechanics Reviews, 2005, 58 (3): 117-145.
  • 2REUT V I. About the theory of elastic stability. Proceedings of the Odessa Institute of Civil and Communal Engineering[C]. 1939, No. 1.
  • 3HAUGER W, VETTER K. Influence of an elastic foundation on the stability of a tangentially loaded column [J]. Journal of Sound and Vibration, 1976, 47(2): 296-299.
  • 4HANAOKA M, WASHIZU K. Optimum design of Beck's column[J]. Gomputational Structure, 1979, 11(2) : 473 -480.
  • 5KOUNADIS A N. The existence of regions of divergence instability for non conservative systems under follower forces [J]. International Journal of Solids Structures, 1983,19 (2) : 725-733.
  • 6KOITER W T. Unrealistic Follower Forces [J]. Journal of Sound and Vibration, 1996, 194(4) : 636-638.
  • 7IRIE T, YAMADA G, TAKAHASHI I. Vibration and stability of a non-uniform Timoshenko beam subjected to a follower force[J]. Journal of Sound and Vibration, 1980, 70(2): 50:1-512.
  • 8LEE S Y, KUO Y H. Exact solutions for the non conservative elastic stability of non-uniform col umns[J]. Journal of Sound and Vibratioll , 1992, 155(2): 291-301.
  • 9杨峰,王忠民,王砚,赵迎祥.压电层对含集中质量的Beck杆稳定性的影响[J].西安理工大学学报,2008,24(3):324-328. 被引量：1

引证文献1

宝鸡文理学院学报（自然科学版）
2007年 第4期

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