| 玻璃采光顶预应力索桁架支承体系固有振动 |
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| 引用本文： | 杨立军,吴晓,孙晋.玻璃采光顶预应力索桁架支承体系固有振动[J].河南科技大学学报(自然科学版),2009,30(5). |
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| 作者姓名： | 杨立军 吴晓 孙晋 |
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| 作者单位： | 湖南文理学院,土木建筑工程学院,湖南,常德,415000 |
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| 基金项目： | 国家创新基金支持项目(08C26224301132);;湖南“十一五”重点建设学科项目(湘教通[2006]180号);;湖南省普通高校青年骨干教师项目(湘教通[2007]256号);;湖南省科技计划项目(2008FJ3067) |
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| 摘 要： | 考虑温度变化及几何非线性影响,采用连续化理论导出了玻璃采光顶预应力索桁架支承体系非线性振动方程。通过Galerk in方法,将偏微分方程转化为常微分方程,并采用L-P法对常微分方程进行了求解。结合算例讨论分析了温度变化、振幅、初始张力、矢高等因素对玻璃采光顶预应力索桁架支承体系非线性振动的影响。算例表明,预应力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,其自振频率随着振幅发生变化,其非线性振动呈现"硬弹簧"特性,非线性自振频率高于线性振动频率。
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| 关 键 词： | 预应力 索桁架 玻璃采光顶 非线性 固有振动 |
Natural Vibration of Prestress Cable Truss Support System of Glass Roof |
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| YANG Li-Jun,WU Xiao,SUN Jin.Natural Vibration of Prestress Cable Truss Support System of Glass Roof[J].Journal of Henan University of Science & Technology:Natural Science,2009,30(5). |
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| Authors: | YANG Li-Jun WU Xiao SUN Jin |
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| Institution: | College of Architecture & Civil Engineering;Hunan University of Arts & Science;Changde 415000;China |
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| Abstract: | Taking the temperature effect and geometric nonlinearity into consideration,the nonlinear vibration equation of prestressed cable truss support system in glass roof was derived by assuming the support system as a continuum membra.By the Galerkin method,the partial differential equation was transformed into ordinary differential equation which was solved with L-P method.The effects of temperature,amplitude,initial tension and vector height on the nonlinear vibration were discussed with example.The result ind... |
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| Keywords: | Prestressing Cable truss Glass roof Nonlinearity Natural vibration |
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