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首页> 外文期刊>Mechanics research communications >The regions of flutter and divergence instability of a column subjected to Beck's generalized load, taking into account the torsional flexibility of the loaded end of the column
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The regions of flutter and divergence instability of a column subjected to Beck's generalized load, taking into account the torsional flexibility of the loaded end of the column

机译：考虑到Beck的广义载荷的情况下，立柱的颤动和发散不稳定性区域，考虑了立柱加载端的扭转柔韧性

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摘要

Investigations into a slender system subjected to Beck's generalized load taking into account two rotational springs situated at each end of the system are presented in the paper. One spring models the finite rigidity of the mounting, while the second restricts the rotation of the loaded end of the system. The regions of divergence and flutter instability of the considered system were determined using the kinetic criterion of the stability. The boundary value of the rigidity of the spring situated at the loaded end of the column was also determined. The boundary value of the rigidity separates the regions of divergence and flutter instability. In respect of the problem of vibrations, the characteristic curves in the plane: load - natural frequency were presented. All computations were carried out using the parameters of the considered system, including the rigidity of the springs and the follower coefficient of the load.
机译：在本文中，研究了考虑到位于系统两端的两个旋转弹簧，对承受贝克的广义载荷的细长系统进行的研究。一个弹簧模拟了安装座的有限刚度，而第二个弹簧则限制了系统负载端的旋转。使用稳定性的动力学准则确定所考虑系统的发散和颤动不稳定性区域。还确定了位于圆柱加载端的弹簧刚度的边界值。刚度的边界值将发散和颤动不稳定性区域分开。关于振动问题，提出了平面上的特性曲线：负载-固有频率。所有计算均使用所考虑系统的参数进行，包括弹簧的刚度和负载的随动系数。

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