| 两相介质近场波动模拟的一种解耦有限元方法 |
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| 引用本文： | 陈少林,廖振鹏,陈进.两相介质近场波动模拟的一种解耦有限元方法[J].地球物理学报,2005,48(4):909-917. |
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| 作者姓名： | 陈少林 廖振鹏 陈进 |
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| 作者单位： | 1.南京航空航天大学航空宇航学院，210016南京 2 中国地震局工程力学研究所，150080哈尔滨 3 上海交通大学振动、冲击、噪声国家重点实验室，200240上海 |
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| 基金项目： | 地震联合基金(95-07-442)，上海市博士后基金联合资助. |
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| 摘 要： | 本文将求解近场波动问题的一种解耦技术推广到两相介质，得到了一种求解两相介质近场波动问题的直接解耦方法，包括集中质量有限元模型、时域显式积分格式和局部人工边界条件. 首先应用加权残数法，并依据波动模拟的精度要求，得到了两相介质集中质量有限元模型. 然后，结合两相介质中波动的衰减特性，实现了透射边界在两相介质近场波动中的运用. 最后，通过数值实验，并与解析解对比，验证了本文方法的有效性.
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| 关 键 词： | 两相介质 近场波动 多次透射公式 解耦技术 |
| 文章编号： | 0001-5733(2005)04-0909-09 |
| 收稿时间： | 2004-04-21 |
| 修稿时间： | 2005-04-11 |
A decoupling FEM for simulating near_field wave motions in two_phase media |
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| CHEN Shao-lin,LIAO Zhen-peng,CHEN Jin.A decoupling FEM for simulating near_field wave motions in two_phase media[J].Chinese Journal of Geophysics,2005,48(4):909-917. |
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| Authors: | CHEN Shao-lin LIAO Zhen-peng CHEN Jin |
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| Institution: | 1.College of Aerospace Engineering，Nanjing University of Aeronautics and Astronautics, Nanjing 210016,China 2 Institute of Engineering Mechanics, China Earthquake Administration, Harbin 150080, China 3 State Key Laboratory of Vibration, Shock & Noise, Sh |
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| Abstract: | A decoupling technique for simulating near_field wave motions in two_phase media is introduced in this paper, which includes lumped_mass FEM, explicit integration procedures and a local artificial boundary condition. First, an equivalent but direct weighted residual method is used to solve boundary value problems. Using this method and considering the precision requirement in wave motion simulation, a lumped_mass FEM for two_phase media with clear physical concepts and convenience in employment is derived. Then, considering the innate attenuation character of the wave in two_phase media, an attenuation parameter is introduced into Liao's Multi_Transmitting Formula (MTF) to simulating the attenuated outgoing wave in two_phase media. At last, two numerical experiments are presented, and the numerical results are compared with the analytical solutions, which demonstrates that the lumped_mass FEM and the generalized MTF introduced in this paper have good precision. |
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| Keywords: | Two_phase media Near_field wave motion Multi_transmitting formula Decoupling technique |
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