| 1:2内共振及主共振情况下高架索的面内振动分析 |
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| 引用本文： | 任爱娣,何学军,王晓林,张良欣.1:2内共振及主共振情况下高架索的面内振动分析[J].物理学报,2012,61(6):60501-060501. |
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| 作者姓名： | 任爱娣 何学军 王晓林 张良欣 |
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| 作者单位： | 海军工程大学后勤指挥与工程系, 塘沽 300450;海军工程大学后勤指挥与工程系, 塘沽 300450;海军工程大学后勤指挥与工程系, 塘沽 300450;海军工程大学后勤指挥与工程系, 塘沽 300450 |
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| 基金项目： | 中国博士后科学基金(批准号:20080431381)资助的课题. |
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| 摘 要： | 考虑了由货物自重引起高架索静态构型的分段特性、高架索的倾斜角以及发送端水平运动等多种因素的影响, 建立了海上航行干货补给高架索系统面内振动的三自由度分段动力学模型. 将惯性项解耦后, 得到了1:2内共振与主共振同时作用时的常微分方程, 并利用多尺度法对其进行了摄动分析和数值分析, 为后续开展相关的非线性动力学研究奠定了一定的理论基础.
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| 关 键 词： | 分段 高架索系统 摆动 多尺度法 |
| 收稿时间： | 2011-03-10 |
Inplane oscillation analysis of the highline system with 1:2 internal resonance and dominate resonance |
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| Ren Ai-Di,He Xue-Jun,Wang Xiao-Lin and Zhang Liang-Xin.Inplane oscillation analysis of the highline system with 1:2 internal resonance and dominate resonance[J].Acta Physica Sinica,2012,61(6):60501-060501. |
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| Authors: | Ren Ai-Di He Xue-Jun Wang Xiao-Lin and Zhang Liang-Xin |
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| Institution: | Department of Logistics Command and Engineering, Navy University of Engineering, Tanggu 300450, China;Department of Logistics Command and Engineering, Navy University of Engineering, Tanggu 300450, China;Department of Logistics Command and Engineering, Navy University of Engineering, Tanggu 300450, China;Department of Logistics Command and Engineering, Navy University of Engineering, Tanggu 300450, China |
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| Abstract: | A three-degree-of-freedom nonlinear dynamic model of piecewise highline system during underway replenishment is investigated when the lumped mass swings in which the influences of piecewise characteristic of highline cable's static profile due to cargo deadweight, the incline angle and the horizontal motion of the sending end are considered. Considering 1:2 internal resonance and primary resonance, ordinary differential equations are gained by decoupling the inertial terms. Perturbation analysis and numerical analysis are carried out by adopting the multiple-scale method, which will be the theoretical basis of the further research of nonlinear dynamics. |
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| Keywords: | piecewise the highline system swing multiple-scale method |
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