| 求解动力方程的三种显式积分格式的比较 |
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| 引用本文： | 荣棉水,李亚琦,周伯昌.求解动力方程的三种显式积分格式的比较[J].华南地震,2007,27(1):77-85. |
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| 作者姓名： | 荣棉水 李亚琦 周伯昌 |
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| 作者单位： | 中国地震局地球物理研究所,北京,100081 |
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| 摘 要： | 比较了工程上常用于求解动力方程的三种显式积分格式的能耗特性,结果表明,李小军等人的显式差分格式在物理阻尼比为0到1的范围内均具有较强的能耗特性,而且随着物理阻尼比的增大,能耗特性也增强,这种特性优于另外两种显式积分格式,能有效地克服透射边界的高频失稳,因此在处理复杂场地地震反应方面是一种比较理想的显式积分格式。
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| 关 键 词： | 显式积分格式 能耗特性 动力方程 地震工程 |
| 文章编号： | 1001-8662（2007）01-0077-09 |
| 收稿时间： | 2007-03-08 |
| 修稿时间： | 2007-03-08 |
Comparison of Dissipation Characteristics of 3 Kinds of Explicit Integration Formula for Dynamic Differential Equation |
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| RONG Mianshui,LI Yaqi,ZHOU Bochang.Comparison of Dissipation Characteristics of 3 Kinds of Explicit Integration Formula for Dynamic Differential Equation[J].South China Journal of Seismology,2007,27(1):77-85. |
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| Authors: | RONG Mianshui LI Yaqi ZHOU Bochang |
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| Institution: | Institute of Geophysics, China Earthquake Administration, Beijing 100081, China |
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| Abstract: | Comparison of the dissipation characteristics of 3 different kinds of explicit integration formula was made.The results show that the explicit integration formula suggested by Li Xiaojun and others has stronger numerical dissipation characteristic than the other 2 formulas while the real damping varies from 0 to 1,and the larger the real damping is,the more obvious the phenomenon is,this kind of formula can depress or eliminate the high-frequency instability induced by Local Transmitting Boundary,so it is an ideal integration formula for solving the earthquake response of complex site. |
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| Keywords: | Explicit integration formula Dissipation characteristic Dynamic Differential Equation Seismic Engineering |
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