Vibration isolation using buckled or pre-bent columns—Part 1: Two-dimensional motions of horizontal rigid bar
Vibration isolation using buckled or pre-bent columns—Part 1: Two-dimensional motions of horizontal rigid bar
复制标题
使用屈曲或预弯柱进行隔振 第 1 部分：水平刚性杆的二维运动
DOI：
10.1016/j.jsv.2007.09.037
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发表时间：
2008
影响因子：
4.7
通讯作者：
L. Virgin
中科院分区：
文献类型：
--
作者：
R. Plaut;H. M. Favor;A. Jeffers;L. Virgin
分析了使用屈曲柱或粘弹性填料粘结的预弯曲柱对作为隔振器的情况。它们在其末端支持水平刚性杆，在隔离器的底部应用谐波垂直运动。分析了对称杆和非对称杆的位移传递率。在后一种情况下，杆既表现为旋转运动，也表现为平移运动。每个柱都被建模为弹性柱，允许大的挠度。分析了系统平衡结构的小振动。在建立控制方程后，利用射击法在Mathematica软件中求得数值解。透射率作为激励频率的函数绘制，并显示了与透射率图中峰值相关的振动形状。对于屈曲的单柱隔振器，研究了钢筋不对称量的影响。对于粘结式两柱预弯隔振器，确定了填料刚度、初始曲率量和支承重量的影响。隔离器在很大的激励频率范围内是有效的。
The use of buckled columns, or pairs of pre-bent columns bonded with a viscoelastic filler, as vibration isolators is analyzed. They support a horizontal rigid bar at its ends, and harmonic vertical motion is applied at the base of the isolators. The displacement transmissibility is analyzed for both symmetric and asymmetric bars. In the latter case, the bar exhibits rotational as well as translational motion. Each column is modeled as an elastica, allowing for large deflections. Small steady-state vibrations about the equilibrium configuration of the system are analyzed. After formulation of the governing equations, a shooting method is utilized to obtain numerical solutions in Mathematica. The transmissibility is plotted as a function of the excitation frequency, and vibration shapes associated with peaks in the transmissibility plots are shown. For the buckled single-column isolators, the effect of the amount of asymmetry of the bar is examined. For the bonded two-column pre-bent isolators, the effects of the filler stiffness, amount of initial curvature, and supported weight are determined. The isolators can be effective for a large range of excitation frequencies.