Nonlinear Free Vibration of a Cable Against a Straight Obstacle

机译：电缆对直障碍物的非线性自由振动

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摘要

The purpose of this study is to investigate the nonlinear effect of gravity on the free vibration of a cable against a straight obstacle. The cable model is expressed in terms of nonlinearly coupled transverse and axial displacements. The penalty method is used to simulate the obstacle, which is equivalent to inserting a stiff elastic foundation. The first symmetric frequencies are obtained when the depth of the obstacle is 1/2 and 1/3 of the initial transverse displacement. The effects of varying amplitude and equilibrium curvature are investigated.

机译：这项研究的目的是研究重力对直线障碍物电缆的自由振动的非线性影响。电缆模型以非线性耦合的横向和轴向位移表示。惩罚方法用于模拟障碍物，等效于插入刚性弹性基础。当障碍物的深度为初始横向位移的1/2和1/3时，获得第一对称频率。研究了振幅和平衡曲率变化的影响。

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来源
《2002 ASME International Mechanical Engineering Congress and Exposition , Nov 17-22, 2002, New Orleans, Louisiana》|2002年|p.387-395|共9页
会议地点 New Orleans LA(US);New Orleans LA(US)
作者
Seon Han; Mark Grosenbaugh;
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作者单位

Applied Ocean Physics and Engineering Woods Hole Oceanographic Institution Woods Hole, MA 02543;

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会议组织
原文格式 PDF
正文语种 eng
中图分类机械、仪表工业;
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2. Nonlinear finite element analysis of three-dimensional free and harmonically forced vibrations of stranded conductor cables [J] . Nicholas D. Oliveto, Mettupalayam V. Sivaselvan Earthquake Engineering & Structural Dynamics . 2014,第14期

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3. Analytical study on in-plane free vibration of a cable network with straight alignment rigid cross-ties [J] . Ahmad Javaid, Cheng Shaohong Journal of vibration and control: JVC . 2015,第7期

机译：直线对准刚性横梁的电缆网络平面内自由振动的分析研究
4. Nonlinear free vibration of a cable against a straight obstacle [C] . Seon Han, Mark Grosenbaugh ASME International Mechanical Engineering Congress and Exposition . 2002

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5. Active control of large amplitude nonlinear free vibrations and nonlinear supersonic panel flutter of beams and composite plates using piezoelectric self-sensing actuators. [D] . Li, Qinqin. 2005

机译：使用压电自感应执行器主动控制梁和复合板的大振幅非线性自由振动和非线性超声板的颤动。
6. Nonlinear model identification and spectral submanifolds for multi-degree-of-freedom mechanical vibrations [O] . Robert Szalai, David Ehrhardt, George Haller -1

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7. Nonlinear Out-of -Plane Free Vibrations of Cables [O] . 高橋和雄, 田川賢 1982

机译：电缆的非线性非平面自由振动

Nonlinear Free Vibration of a Cable Against a Straight Obstacle

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