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首页> 外文期刊>International journal of structural stability and dynamics >Effects of Locally Distributed Kelvin-Voigt Damping on Parametric Instability of Timoshenko Beams
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Effects of Locally Distributed Kelvin-Voigt Damping on Parametric Instability of Timoshenko Beams

机译：局部分布的Kelvin-Voigt阻尼对Timoshenko梁参数不稳定性的影响

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摘要

The effect of partially distributed internal damping of the Kelvin-Voigt type on the parametric instability of a Timoshenko beam subjected to periodic axial loads is studied. To model the dynamic behavior of the beam, a coupled set of second-order linear ordinary differential equations with periodic coefficients is established by the finite element method. A quadratic eigenvalue equation is derived for a parametrically excited damped system to determine the instability regions of the beam of concern based on Bolotin's method. The effects of internal damping, size and location of the damped segment, ratio of thickness to length and static load factor on the parametric instability of the beam are studied, along with the stabilizing effect of the Kelvin-Voigt damping on the primary parametric resonance presented. The results reveal that the beam with a larger damped segment positioned near the fixed end is dynamically more stable.
机译：研究了Kelvin-Voigt型局部分布的内部阻尼对周期性轴向载荷下的Timoshenko梁的参数不稳定性的影响。为了模拟梁的动态行为，通过有限元方法建立了具有周期系数的二阶线性常微分方程的耦合组。基于Bolotin方法，推导了参数激励阻尼系统的二次特征值方程，以确定所关注光束的不稳定性区域。研究了内部阻尼，阻尼段的大小和位置，厚度与长度的比以及静态载荷系数对梁参数不稳定性的影响，以及开尔文-沃格特阻尼对主要参数共振的稳定作用。结果表明，在固定端附近具有较大阻尼段的梁动态更稳定。

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