| 土石坝动力分析的改进二次加速度积分法 |
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| 引用本文： | 杨贵,刘汉龙.土石坝动力分析的改进二次加速度积分法[J].岩土力学,2009,30(5):1497-1503. |
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| 作者姓名： | 杨贵 刘汉龙 |
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| 作者单位： | 河海大学,岩土力学与堤坝工程教育部重点试验室,南京,210098;河海大学,岩土工程科学研究所,南京,210098 |
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| 基金项目： | 国家自然科学基金委员会、二滩水电开发有限责任公司雅砻江水电开发联合研究基金，水利部公益性行业专项经费项目 |
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| 摘 要： | 土石坝动力分析常用的是Wilson-? 积分方法，但该方法用于分析高频问题和大步长问题时精度较低。针对该缺点提出一种改进的二次加速度积分法，该算法与一步二次加速度积分法相比，计算精度不变、稳定性要求容易满足，计算用时大大减少。对算法的基本原理、稳定性及精度进行了分析，并给出一个土石坝动力分析的算例，验证了该算法的可行性。与常用的Wilson-? 法、Newmark法和中心差分法进行了数值比较。计算结果表明：该算法在分析高频问题和大步长问题时，计算精度较高。
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| 关 键 词： | 土石坝 逐步积分法 改进的二次加速度积分法 |
| 收稿时间： | 2007-12-18 |
An improved quadratic acceleration integration method of dynamic analysis of earth-rock dam |
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| YANG Gui,LIU Han-long.An improved quadratic acceleration integration method of dynamic analysis of earth-rock dam[J].Rock and Soil Mechanics,2009,30(5):1497-1503. |
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| Authors: | YANG Gui LIU Han-long |
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| Institution: | 1. Key Laboratory for Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing 210098, China； 2. Geotechnical Research Institute, Hohai University, Nanjing 210098, China |
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| Abstract: | As a commonly used dynamic integration analysis method of earth-rock dam, Wilson-? method has comparatively low accuracy in analyzing problems involving high frequency and long time interval. Aiming at the disadvantages, an improved quadratic acceleration integration method is put forward. Compared with the one step quadratic acceleration integration method, its numerical accuracy remains the same and the requirements of stability are more easily satisfied but the time needed in calculation is reduced sharply. And then, the fundamental, stability and accuracy of the method are analyzed. Moreover, a case study about the earth-rock dam dynamic analysis is given to prove the feasibility of the method. At last, by comparing the results of the proposed method with those of Wilson-? method, Newmark method and Central difference method, the numerical accuracy has been analyzed. The results indicate that the proposed method is highly accurate in analyzing problems especially in high frequency and long time interval. |
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| Keywords: | earth-rock dam step by step integration method improved quadratic acceleration integration method |
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