空沟对弹性波散射的时域分析:平面 SV 波入射
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TU435

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国家自然科学基金资助项目(51978320,11962016);甘肃省基础研究创新群体项目(20JR5RA478);兰州理工大学红柳杰出青年人才资助计划(062007);甘肃省优秀研究生“创新之星”项目(2022CXZX-454)


Time-domain analysis of elastic wave scattering caused by an open trench: plane SV wave incidence
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    摘要:

    基于土?结构相互作用理论,利用比例边界有限元法,将含有空沟地形条件的场地分解为近场系统和无穷远场系统。利用四叉树对近场计算区域进行网格精细化离散,并利用位移单位?脉冲响应矩阵来表示近场和远场交界面上的相互作用力,从而将斜入射的平面 SV 波转化为作用在近场系统边界上的等效节点力来模拟入射波对近场系统的激励作用,建立了时域?空间域弹性波传播问题的数值模型,通过数值算例验证了方法的有效性,分析了入射角和空沟深度等参数对隔振效果的影响。结果表明:隔振效果随着入射角的增大而增大;当入射角较大时,通过进一步增大空沟深度,可使得空沟发挥出更优的隔振效果。

    Abstract:

    Based on the soil-structure interaction theory, the site containing open trench topographic conditions is decomposed into a near-field system and an infinite-field system using the proportional boundary finite element method. The grid refinement discreti? zation of the near-field region is performed by the quadtree decomposition technique, the displacement unit-impulse response ma? trix is used to represent the interaction forces at the interface between the near-field and far-field intersections. The obliquely inci? dent plane SV wave is transformed into an equivalent nodal force acting on the boundary of the near-field region to simulate the ex? citation of the incident wave on the near-field system, which leads to a numerical model of the elastic wave propagation problem in the time-space domain. Through the numerical example, the validity of the method is verified and the effects of the parameters such as the incidence angle and the depth of the trench on the vibration isolation effect are analyzed. The results show that the vibration isolation effect increases with the increase of the incidence angle; and when the incidence angle is larger, further increasing the depth of the open trench, will make the open trench has a better vibration isolation effect.

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周凤玺,梁玉旺,朱顺望.空沟对弹性波散射的时域分析:平面 SV 波入射[J].振动工程学报,2023,36(6):1494~1502.[ZHOU Feng-xi, LIANG Yu-wang, ZHU Shun-wang. Time-domain analysis of elastic wave scattering caused by an open trench: plane SV wave incidence[J]. Journal of Vibration Engineering,2023,36(6):1494~1502.]

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  • 在线发布日期: 2024-01-02
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