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斜拉桥单梁-多索模型的非线性振动

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成果类型:
期刊论文
作者:
孟新田
通讯作者:
Meng, X.-T.(mxttm@163.com)
作者机构:
[孟新田] College of Civil Engineering, Hunan City University, Yiyang 413000, China
通讯机构:
College of Civil Engineering, Hunan City University, China
语种:
中文
关键词:
索;斜拉桥;非线性振动;索-梁结构;参数共振
关键词(英文):
Cable;Cable stayed bridge;Cable-stayed beam structure;Nonlinear vibration;Parametric resonance
期刊:
中南大学学报(自然科学版)
ISSN:
1672-7207
年:
2009
卷:
40
期:
3
页码:
839-844
基金类别:
基金项目:湖南省自然科学基金资助项目(07JJ3100)
机构署名:
本校为第一且通讯机构
院系归属:
土木工程学院
摘要:
建立斜拉桥的单梁-多索力学模型,考虑其初始垂度、大位移而引起的几何非线性因素的影响,同时考虑拉索与桥面连接条件和边界条件的影响,通过Hamilton原理建立单梁-多索的面内非线性振动方程.利用Galerkin方法将非线性偏微分方程转化为关于时间的二阶常微分方程组,以单梁-双索为算例,在桥面对拉索的参数激励条件下,利用Runge-Kutta法对拉索之间的相互作用进行数值分析.研究结果表明:当2根索的频率比约为1时,索与索之间通过桥面运动产生能量传递,可使拉索的大幅振动更加强烈.
摘要(英文):
Multi-cable stayed beam model of cable stayed bridge was established. Based on Hamilton's principle, the in-plane nonlinear governing equations of cables and beam were derived, in which the static sag and the geometric nonlinearity of the cable were considered and the simple connection condition and boundary condition of the cable and deck were taken into account. Furthermore, Galerkin's method was used to convert the partial differential equations into the ordinary differential equations, and the Runge-Kutta method was introduced to solve the equations. The numerical results of two cables sta...

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