| 一种基于多项式外推的局部透射边界位移解(外行波为非平面波情形) |
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| 引用本文： | 张晓志,谢礼立,屈成忠.一种基于多项式外推的局部透射边界位移解(外行波为非平面波情形)[J].地震工程与工程振动,2004,24(1):1-6. |
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| 作者姓名： | 张晓志 谢礼立 屈成忠 |
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| 作者单位： | 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;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,黑龙江,哈尔滨,150001;中国地震局工程力学研究所,黑龙江,哈尔滨,150080 |
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| 基金项目： | 国家自然科学基金项目(59895410)，黑龙江省自然科学基金项目(E0221). |
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| 摘 要： | 一般情况下,通过人工边界向外透射的波动常为非平面波。对于近场非平面波在人工边界上的透射问题,不能采用简单的平面波透射方法。本文针对近场非平面波在人工边界上的透射特点,分析了非平面波沿人工边界法向视波速的变化规律及其近场失稳机制,推导了适合近场非平面波的、人工边界点位移解的不等步距线性外推公式。
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| 关 键 词： | 非平面波 失稳机制 局部平面波假定 不等步距 线性外推 |
| 文章编号： | 1000-1301(2004)01-0001-06 |
| 修稿时间： | 2003年12月26 |
A new approach for solution of local artificial transmitting boundary |
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| ZHANG Xiao-zhi,XIE Li-li.A new approach for solution of local artificial transmitting boundary[J].Earthquake Engineering and Engineering Vibration,2004,24(1):1-6. |
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| Authors: | ZHANG Xiao-zhi XIE Li-li |
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| Institution: | ZHANG Xiao-zhi~1,XIE Li-li~ |
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| Abstract: | As a wave motion generated by a dynamic source transmits outward through the artificial boundary, its corresponding normal apparent wave velocity usually changes from point to point along the artificial boundary. In this paper the variation of the normal apparent wave velocity along the artificial boundary is analyzed and its effects on the stability of the displacement solution is studied. In the analysis, a piecewise local plane wave motion is used to approximate the non-plane wave motion and a linear extrapolation formula with unequal step for the displacement solution at the node along the boundary is developed. It is concluded that with this method both precision and stability of the displacement solution for the near-source wave motion can be remarkably improved. |
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| Keywords: | non-plane wave motion mechanism of lose of stability local plane wave motion linear extrapolation |
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