| 阻尼对地下隧道结构动力响应的影响 |
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| 引用本文： | 徐英乾,戚承志,沙曼.阻尼对地下隧道结构动力响应的影响[J].岩土力学,2012,33(Z2):196-200. |
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| 作者姓名： | 徐英乾 戚承志 沙曼 |
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| 作者单位： | 北京建筑工程学院 北京市高校工程结构与新材料工程研究中心，北京 100044 |
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| 基金项目： | 自然基金资助项目(No.51174012):北京市自然基金资助项目(No.KZ200810016007);非线性动立系统建模与分析团队(No.PHR201107123);国家国家重点基础研究发展计划(973)项目资助(No.2010CB732003) |
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| 摘 要： | 用弹性地基梁来模拟地下隧道结构，推出考虑弯曲、轴力、剪切、内外阻尼以及在双参数地基模型上的振动方程。引用地下管道近似的位移计算方法，计算地下隧道结构，避免积分变换的繁琐，通过一种特殊的分离变量法，使得动力荷载以强加位移和速度的方式施加，实例计算中涉及内外阻尼项，可以方便地求出自振频率和阻尼比的表达式和考虑阻尼后结构位移衰减曲线，得出对于地下结构内阻尼的影响很小的结论。
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| 关 键 词： | 弹性地基梁模型 分离变量法 内外阻尼 衰减曲线 |
| 收稿时间： | 2012-07-12 |
The effect of damping on dynamic response of underground tunnel structures |
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| XU Ying-qian,QI Cheng-zhi,SA Man.The effect of damping on dynamic response of underground tunnel structures[J].Rock and Soil Mechanics,2012,33(Z2):196-200. |
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| Authors: | XU Ying-qian QI Cheng-zhi SA Man |
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| Institution: | Beijing High Institution Research Center of Engineering Structures and New Materials, Beijing University of Civil Engineering and Architecture, Beijing 100044, China |
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| Abstract: | The beam on elastic foundation model is used to simulate the underground tunnels structures; a vibration equation on two-parameter foundation considering the bending moment, axial force, shear deformation, external and internal damping is obtained. An approximate method for calculating of displacement of underground pipes is used to compute the displacement of underground tunnels structures, avoiding the trouble of integral transform. In numerical example involving the damping. it is convenient to use a special separated variable method to obtain natural frequencies and damping ratio, the attenuation of displacement considering damping. It is concluded that for underground structures, the effect of internal damping can be neglected. |
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| Keywords: | beam on elastic foundation model separated variable method external damping internal damping attenuation curve |
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