利用 H-W 截断边界条件对松树坪大坝水基岩石系统进行动态分析

IF 1.5 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Vahid Lotfi, Hesamedin Abdorazaghi
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引用次数: 0

摘要

目的 采用一种新的描述方法(即 FE-(FE-TE)-FE)研究松树坪大坝-水-地基岩石系统的响应。研究的初始部分侧重于时间谐波分析。在这一部分,可以将传递函数与 FE-(FE-HE)-FE 方法(即采用严格流体超元素的精确方法)获得的相应响应进行比较。随后进行瞬态分析。在这一部分,只能对低归一化储层长度和高归一化储层长度情况下的结果进行比较。本研究采用 FE-(FE-TE)-FE 方法对典型的混凝土重力坝-水-地基岩石系统进行动态分析。在该技术中,大坝和基岩由平面实体有限元离散化,而水域近场区域由平面流体有限元离散化。此外,还在水库截断边界施加了 H-W(即 Hagstrom-Warburton)高阶条件。这项任务是通过在该边界采用截断元素来实现的。研究结果高阶 H-W 条件(如本文考虑的 O5-5)可在两种类型的全反射和全吸收储层底部条件下对两种可能的激励产生高度精确的响应。因此,在时间谐波分析中,传递函数与通过 FE-(FE-HE)-FE 方法获得的相应精确响应几乎没有区别。这在低归一化储层长度和高归一化储层长度(L/H = 1 和 3)的情况下都得到了控制。此外,可以说,当采用高阶 H-W 截断元素时,瞬态分析实际上会得出精确的结果(数值意义上)。换句话说,在这种情况下,分析结果对水库的归一化长度并不敏感。该技术的突出特点是在截断边界利用了 H-W 高阶条件。该方法适用于所有类型的激励和水库底部条件。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Dynamic analysis of Pine Flat dam–water–foundation rock system utilizing the H-W truncation boundary condition

Purpose

The response of the Pine Flat dam–water–foundation rock system is studied by a new described approach (i.e. FE-(FE-TE)-FE). The initial part of study is focused on the time harmonic analysis. In this part, it is possible to compare the transfer functions against corresponding responses obtained by the FE-(FE-HE)-FE approach (referred to as exact method which employs a rigorous fluid hyper-element). Subsequently, the transient analysis is carried out. In that part, it is only possible to compare the results for low and high normalized reservoir length cases. Therefore, the sensitivity of results is controlled due to normalized reservoir length values.

Design/methodology/approach

In the present study, dynamic analysis of a typical concrete gravity dam–water–foundation rock system is formulated by the FE-(FE-TE)-FE approach. In this technique, dam and foundation rock are discretized by plane solid finite elements while, water domain near-field region is discretized by plane fluid finite elements. Moreover, the H-W (i.e. Hagstrom–Warburton) high-order condition is imposed at the reservoir truncation boundary. This task is formulated by employing a truncation element at that boundary. It is emphasized that reservoir far-field is excluded from the discretized model.

Findings

High orders of H-W condition, such as O5-5 considered herein, generate highly accurate responses for both possible excitations under both types of full reflective and absorptive reservoir bottom conditions. It is such that transfer functions are hardly distinguishable from corresponding exact responses obtained through the FE-(FE-HE)-FE approach in time harmonic analyses. This is controlled for both low and high normalized reservoir length cases (L/H = 1 and 3). Moreover, it can be claimed that transient analysis leads practically to exact results (in numerical sense) when one is employing high order H-W truncation element. In other words, the results are not sensitive to reservoir normalized length under these circumstances.

Originality/value

Dynamic analysis of concrete gravity dam–water–foundation rock systems is formulated by a new method. The salient aspect of the technique is that it utilizes H-W high-order condition at the truncation boundary. The method is discussed for all types of excitation and reservoir bottom conditions.

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来源期刊
Engineering Computations
Engineering Computations 工程技术-工程:综合
CiteScore
3.40
自引率
6.20%
发文量
61
审稿时长
5 months
期刊介绍: The journal presents its readers with broad coverage across all branches of engineering and science of the latest development and application of new solution algorithms, innovative numerical methods and/or solution techniques directed at the utilization of computational methods in engineering analysis, engineering design and practice. For more information visit: http://www.emeraldgrouppublishing.com/ec.htm
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