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Vibration and Large Deflection of Cantilevered Elastica Compressed by Angled Cable

机译:斜拉索压缩悬臂弹性体的振动和大挠度

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摘要

A thin cantilevered beam is compressed by a cable attached to the tip of the beam and terminating near the base. Large-deflection equilibrium configurations and small vibrations about equilibrium are investigated. This system has a direct application to solar-sail structures, where the structural booms could be designed to bend to supply tension loading in the sail membrane. The equilibrium and vibration properties are examined in three ways: numerical integration of the governing elastica equations using a shooting method, finite element analysis using ABAQUS, and experiments with a polycarbonate strip bent by a cable that is tightened with a turnbuckle. Equilibrium shapes and vibration mode shapes and frequencies are obtained for two different cable attachment points offset slightly from the beam's base in the axial and transverse directions. Frequencies obtained from a three-dimensional finite element analysis are also presented.
机译:一根细的悬臂梁被一根连接在梁尖并终止于基座附近的电缆压缩。研究了大挠度平衡构型和关于平衡的小振动。该系统可直接应用于太阳帆结构,在该结构中,可以将结构吊杆设计为弯曲以在风帆膜片中提供拉力载荷。可以通过以下三种方式检查平衡和振动特性:使用射孔法对控制弹性系数方程进行数值积分,使用ABAQUS进行有限元分析,以及通过用螺丝扣拧紧的电缆弯曲的聚碳酸酯带进行的实验。对于两个不同的电缆连接点,在轴向和横向方向上与梁的基座略有偏移,可以获得平衡形状,振动模式形状和频率。还介绍了从三维有限元分析获得的频率。

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