| 预应力自平衡索桁架的非线性固有振动 |
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| 引用本文： | 杨立军,叶柏龙,喻爱南,吴晓.预应力自平衡索桁架的非线性固有振动[J].中南大学学报(自然科学版),2011,42(4). |
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| 作者姓名： | 杨立军 叶柏龙 喻爱南 吴晓 |
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| 作者单位： | 1. 湖南文理学院土木建筑工程学院,湖南常德,415000
2. 中南大学土木建筑学院,湖南长沙,410083 |
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| 基金项目： | 国家创新基金支持项目，湖南"十一五"重点建设学科资助项目，湖南省普通高校青年骨干教师项目，湖南省科技计划项目 |
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| 摘 要： | 研究预应力自平衡索桁架的非线性固有振动.考虑温度变化及几何非线性影响,采用连续化理论导出点支式玻璃幕墙预应力自平衡索桁架支承体系非线性振动方程.通过Galerkin方法,将偏微分程转化为常微分方程,采用L-P法对常微分方程进行求解.结合工程实例讨论分析温度变化、振幅、初始张力、矢高等因素对点支式玻璃幕墙预应力自平衡索桁架支承体系非线性振动的影响.算例结果表明:预应力自平衡索桁架支承体系固有频率随着温度的升高而减小,具有较强的非线性,其固有振动频率随着振幅发生变化,其非线性振动呈现"硬弹簧"特性,非线性振动频率高于线性振动频率.
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| 关 键 词： | 预应力 自平衡索桁架 点支式玻璃幕墙 非线性 固有振动 |
Nonlinear natural vibration of prestressed self-balanced cable truss |
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| YANG Li-jun,YE Bai-long,YU Ai-nan,WU Xiao.Nonlinear natural vibration of prestressed self-balanced cable truss[J].Journal of Central South University:Science and Technology,2011,42(4). |
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| Authors: | YANG Li-jun YE Bai-long YU Ai-nan WU Xiao |
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| Institution: | YANG Li-jun1,YE Bai-long2,YU Ai-nan2,WU Xiao1 (1.College of Architecture & Civil Engineering,Hunan University of Arts and Science,Changde 415000,China,2.School of Civil Engineering and Architecture,Central South University,Changsha 410083,China) |
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| Abstract: | The nonlinear natural vibration of prestressed self-balanced cable truss was investigated.Taking the temperature effect and geometric nonlinearity into consideration,the nonlinear vibration equation of prestressed self-balanced cable truss support system in point-supported glass curtain wall was derived by assuming the support system as a continuum membrane.By the Galerkin method,the partial differential equation was transformed into ordinary differential equation which was solved using L-P method.The effec... |
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| Keywords: | prestressing self-balanced cable truss point-supported glass curtain wall nonlinearity natural vibration |
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