| 弹性基础上封闭型梁的等效刚度 |
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| 引用本文： | 李桂花,杨黎明,余同希,周风华.弹性基础上封闭型梁的等效刚度[J].宁波大学学报(理工版),2011,24(1):115-120. |
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| 作者姓名： | 李桂花 杨黎明 余同希 周风华 |
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| 作者单位： | 1. 宁波大学机械工程与力学学院,浙江宁波,315211
2. 宁波大学机械工程与力学学院,浙江宁波315211;香港科学技术大学机械工程系,中国香港999077 |
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| 基金项目： | 国家自然科学基金，宁波大学王宽诚幸福基金 |
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| 摘 要： | 由内外钢围和中间的钢丝绳圈组成的柔性防撞装置可大幅度降低船对桥墩撞击力．为计算柔性防撞装置的等效刚度，建立弹性基础上封闭型梁的分析模型，模型由分布的辐射弹簧和与弹簧连接的2个同心圆环组成．利用曲梁理论分析外钢围圆环在集中力作用下的变形与受力情况，建立描述外钢围径向位移的控制方程，通过特定边界条件获得径向位移的精确解．推导得到防撞装置的等效刚度，并进一步分析了影响等效刚度的相关因素．
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| 关 键 词： | 柔性防撞装置 弹性基础 曲梁理论 等效刚度 精确解 |
Equivalent Stiffness of a Circular Beam on Elastic Foundation |
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| LI Gui-hua,YANG Li-ming,YU Tong-xi,ZHOU Feng-hua.Equivalent Stiffness of a Circular Beam on Elastic Foundation[J].Journal of Ningbo University(Natural Science and Engineering Edition),2011,24(1):115-120. |
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| Authors: | LI Gui-hua YANG Li-ming YU Tong-xi ZHOU Feng-hua |
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| Institution: | 1 (1.Faculty of Mechanical Engineering and Mechanics,Ningbo University,Ningbo 315211,China; 2.Department of Mechanical Engineering,Hong Kong University of Science and Technology,Hongkong 999077,China) |
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| Abstract: | The flexible crashworthy structure can significantly mitigate the ship impact force on bridge pile. This paper establishes an analytical model to obtain the equivalent elastic stiffness of the structure. The model is composed of a closed circular beam connected to the circular foundation with distributed springs. The deformation and the internal force of the beam are analyzed by combining the theories for curved beam analysis and for the beam on elastic foundation analysis. The governing equation is derived for the radial displacement of the outer beam. With adequate boundary conditions this equation is solved analytically. The equivalent stiffness of the crashworthy structure is deduced from this solution, and the influences of structural parameters on this stiffness are also discussed. |
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| Keywords: | flexible crashworthy structure elastic foundation curved beam equivalent stiffness exact solutions |
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