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Stability and vibration analysis of axially-loaded shear beam-columns carrying elastically restrained mass

机译:带有弹性约束质量的轴向受力剪力梁柱的稳定性和振动分析

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摘要

Classical shear beams only consider the deflection resulting from sliding of parallel cross-sections, and do not consider the effect of rotation of cross-sections. Adopting the Kausel beam theory where cross-sectional rotation is considered, this article studies stability and free vibration of axially-loaded shear beams using Engesser's and Haringx's approaches. For attached mass at elastically supported ends, we present a unified analytical approach for obtaining a characteristic equation. By setting natural frequencies to be zero in this equation, critical buckling load can be determined. The resulting frequency equation reduces to the classical one when cross-sections do not rotate. The mode shapes at free vibration and buckling are given. The frequency equations for shear beam-columns with special free/pinned/clamped ends and carrying concentrated mass at the end can be obtained from the present. The influences of elastic restraint coefficients, axial loads and moment of inertia on the natural frequencies and buckling loads are expounded. It is found that the Engesser theory is superior to the Haringx theory.
机译:经典的剪切梁仅考虑平行截面滑动引起的挠度,而不考虑截面旋转的影响。本文采用考虑截面旋转的Kausel梁理论,利用Engesser和Haringx的方法研究了轴向受力剪切梁的稳定性和自由振动。对于弹性支撑端的附着质量,我们提出了一种统一的分析方法来获得特征方程。通过在该方程式中将固有频率设置为零,可以确定临界屈曲载荷。当横截面不旋转时,所得的频率方程简化为经典方程。给出了自由振动和屈曲时的模态形状。从现在可以得到具有特殊的自由/固定/夹紧端部并在端部带有集中质量的剪切梁柱的频率方程。阐述了弹性约束系数,轴向载荷和惯性矩对固有频率和屈曲载荷的影响。发现恩格瑟理论优于哈林克斯理论。

著录项

  • 来源
    《Applied Mathematical Modelling》 |2013年第17期|8237-8250|共14页
  • 作者

    H. Zhang; Y.A. Kang; X.F. Li;

  • 作者单位

    School of Civil Engineering and Architecture, Zhejiang University of Technology. Hangzhou 310014, China;

    School of Civil Engineering, Central South University, Changsha 410075, China,School of Mechanical Engineering, Hunan Institute of Engineering, Xiangtan 411104, China;

    School of Civil Engineering, Central South University, Changsha 410075, China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Natural frequencies; Buckling load; Elastically restraint; Engesser theory; Haringx theory;

    机译:固有频率;屈曲载荷;弹性约束;恩格瑟理论;哈林克斯理论;

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