| 采用显式有限元方法求解开放系统动力响应的主要环节和问题 |
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| 引用本文： | 张晓志,谢礼立.采用显式有限元方法求解开放系统动力响应的主要环节和问题[J].地震工程与工程振动,2005,25(2):10-15. |
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| 作者姓名： | 张晓志 谢礼立 |
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| 作者单位： | 1. 中国地震局工程力学研究所,黑龙江,哈尔滨,150080;哈尔滨航天风华科技股份公司,黑龙江,哈尔滨,150040
2. 中国地震局工程力学研究所,黑龙江,哈尔滨,150080;哈尔滨工业大学,土木工程学院,黑龙江,哈尔滨,150001 |
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| 基金项目： | 黑龙江省博士后基金项目，国家“十五”项目 |
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| 摘 要： | 分析了采用显式有限元方法求解开放系统动力响应的主要环节中影响精度和稳定性的因素及其相互关系，指出数值解的精度和稳定性是这些因素共同作用的结果。归纳了合理输入数字荷载应满足的条件以及系统离散化准则。基于有限元方法推导了吸收边界的一般表达式，并据此提出吸收边界和透射边界之间存在确定的函数关系，并不是两类独立人工边界的新见解。认为内域的阻尼稳定性和人工边界的近场稳定性是大型复杂开放系统动力响应数值方法研究和应用中的关键科学问题，并从应用的角度提出了解决问题的思路和看法。
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| 关 键 词： | 显式有限元 开放系统 人工边界 数字荷载 离散化准则 数值精度和稳定性 |
| 文章编号： | 1000-1301(2005)02-0010-06 |
Problems in numerical solution of complex open system by using explicit finite element method |
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| Zhang Xiaozhi,Xie Lili.Problems in numerical solution of complex open system by using explicit finite element method[J].Earthquake Engineering and Engineering Vibration,2005,25(2):10-15. |
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| Authors: | Zhang Xiaozhi Xie Lili |
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| Abstract: | Both factors and their interrelation affecting accuracy and stability of numerical solution of dynamic response of complex open system were studied by explicit finite element method, and it is concluded that accuracy and stability of numerical solution are results from the combined action of all factors. Both conditions demanded to be met in inputting numerical load and criterion of the open system discretization were summarized. The common expression for the absorbing boundary was derived based on the finite element method, and following new viewpoint is suggested: there is a function relationship, rather than independence, between absorbing boundary and transmitting boundary. It is suggested that both damping stability of inner domain and near-field stability of artificial boundary are key scientific problems in studying and applying of numerical solution for the dynamic response of largescale complex open system, and some new opinions of answering the purpose of practical engineering application are suggested. |
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| Keywords: | explicit finite element open system atifficial boundary numerical load disperse criterion numerical accuracy and stability |
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