| 粘弹性人工边界单元及地震动输入方法比较研究 |
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| 引用本文： | (王 展,,景立平,,,陆新宇,,齐文浩,.粘弹性人工边界单元及地震动输入方法比较研究[J].世界地震工程,2023,39(2):167-177. |
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| 作者姓名： | (王 展 景立平 陆新宇 齐文浩 |
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| 作者单位： | 1. 中国地震局工程力学研究所 中国地震局地震工程与工程振动重点实验室,黑龙江 哈尔滨 150080; 2. 地震灾害防治应急管理部重点实验室,黑龙江 哈尔滨 150080; 3. 防灾科技学院,河北 三河 065201 |
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| 摘 要： | 本文引用一致粘弹性边界的概念，推导了与一致粘弹性边界等效的粘弹性边界单元，得到了粘弹性边界单元的刚度矩阵和阻尼矩阵。通过对比粘弹性边界单元阻尼系数不同取值的计算精度，给出了阻尼系数推荐取值。在输入地震动时，采用一种基于局部人工边界的子结构输入方法，实现了和波动法相同的输入效果，并且避免了复杂的应力计算和荷载作用方向判断等问题，应用更加方便。采用自由场的算例，比较了人工边界和不同输入方式的组合在SV波垂直入射时的模拟精度。为了说明边界单元的变形对计算结果的影响，提出了使用底边界输入位移幅值umax和边界单元宽度b的比值ε=umax/b作为变形指标，调节边界单元边长尺寸。通过算例给出了ε的推荐取值。最后，选取合适的ε后建立一个圆形孔洞散射场地模型，对散射场地模型的模拟结果验证了粘弹性边界单元和子结构输入方式应用于散射场地时仍具有较高精度。
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| 关 键 词： | 数值模拟 粘弹性边界单元 子结构法 边界单元应变 ABAQUS |
Comparative study of viscous-spring boundary element and methods of seismic motion input |
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| (WANG Zhan,' target="_blank" rel="external">,JING Liping,,' target="_blank" rel="external">,LU Xinyu,' target="_blank" rel="external">,QI Wenhao,' target="_blank" rel="external">.Comparative study of viscous-spring boundary element and methods of seismic motion input[J].World Information On Earthquake Engineering,2023,39(2):167-177. |
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| Authors: | (WANG Zhan " target="_blank">' target="_blank" rel="external"> JING Liping " target="_blank">' target="_blank" rel="external"> LU Xinyu " target="_blank">' target="_blank" rel="external"> QI Wenhao " target="_blank">' target="_blank" rel="external"> |
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| Affiliation: | 1. Key Laboratory of Earthquake Engineering and Engineering Vibration, Institute of Engineering Mechanics, China Earthquake Administration, )/((Harbin 150080, China; 2. Key Laboratory of Earthquake Disaster Mitigation, Ministry of Emergency Management, Harbin 150080, China; 3. School of Disaster Prevention Science and Technology, Sanhe 065201, China |
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| Abstract: | In this paper, the concept of uniform viscoelastic boundary is introduced, the viscoelastic boundary element equivalent to uniform viscoelastic boundary is derived, and the stiffness matrix and damping matrix of viscoelastic boundary element are obtained. The recommended values of damping coefficients are given by comparing the calculating precision of different values of damping coefficients of viscoelastic boundary element. In the input of ground motion, a substructure input method based on local artificial boundary is adopted, which achieves the same input effect as the wave method, and avoids the complex problems of stress calculation and load direction judgment, which is more convenient for application. Using a free field example, the simulation accuracy of the combination of artificial boundary and different input modes when SV wave is vertically incident is compared. In order to illustrate the influence of the deformation of the boundary element on the calculation results, it is proposed to use the ratio of the input displacement amplitude umax of the bottom boundary and the width b of the boundary element ε=umax/b as the deformation index to adjust the side length of the boundary element. The recommended value of ε isgiven by an example. Finally, a circular hole scattering field model is established after selecting an appropriate ε, and the simulation results of the scattering field model verify that the viscoelastic boundary element and substructure input method are of high accuracy when applied to the scattering field. |
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| Keywords: | numerical simulation viscous-spring boundary element substructure method boundary element strain ABAQUS |
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