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板梁桥振动响应求解方法的比较

Comparison of Methods for Solving Vibration Response of Plate Girder Bridge

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【作者】 卜建清罗韶湘朱信群

【Author】 BU Jian-qing~1, LAW Siu-seong~2, ZHU Xin-qun~2 (1. Department of Communications Engineering, Shijiazhuang Railway Institute, Shijiazhuang 050043, China; 2. Civil and Structure Engineering Department,Hong Kong Polytechnic University, Hunghom, China)

【机构】 石家庄铁道学院交通工程系香港理工大学土木与结构工程系香港理工大学土木与结构工程系 河北石家庄050043香港红墈香港红墈

【摘要】 把板梁桥等效为正交异性板,车辆等效为在正交异性板上移动的1组荷载。根据Halmiton’s原理和模态叠加原理,得到系统状态方程。用3种方法求解状态方程得到板梁桥的振动响应,并与卷积积分方法得到的结果进行比较,相对误差都小于8%,表明3种方法计算板梁桥的响应是有效且省时的。

【Abstract】 In this paper, the plate girder bridge is modeled as an orthotropic plate, and the vehicle is modeled as a group of loads moving on the orthotropic plate. Based on the Halmiton’s theory and modal superposition principle, the state\|space equation of the system is obtained. Three methods are used to solve the equation to obtain the vibration response of the plate girder bridge. The results obtained are then compared with the exact response calculated by the convolution integration method, and the relative error of displacements and strains are all less than 8%, which verifies that the three methods for solving the vibration response of the bridge are effective and time-saving.

【基金】 香港政府科研基金(No.PloyU5043/02E);香港理工大学科研基金(No.G-YW98)
  • 【文献出处】 桥梁建设 ,Bridge Construction , 编辑部邮箱 ,2004年03期
  • 【分类号】U448.212;U441.3
  • 【被引频次】8
  • 【下载频次】175
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