A new formulation and error analysis for vibrating dam–reservoir systems with upstream transmitting boundary conditions
A new formulation and error analysis for vibrating dam–reservoir systems with upstream transmitting boundary conditions
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DOI：
10.1016/j.jsv.2009.12.005
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发表时间：
2010-05
影响因子：
4.7
通讯作者：
N. Bouaanani;B. Miquel
中科院分区：
文献类型：
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作者：
N. Bouaanani;B. Miquel
本文提出并验证了一种新的公式，用于研究上游透射边界条件（TBCs）的大坝-水库系统的动力响应。数学推导提供了新的配方，以及精确和各种近似的热障涂层。开发的分析方程可以数值求解，以评估给定TBC的准确性，并独立于油藏的FEM或BEM建模来确定相关误差。该方法首先验证的情况下，半无限水库和一个很好的协议是针对经典技术。本文提出了一个基本的理解的行为的各种热障和系统识别其对系统的动态响应的影响，考虑：（i）大坝的灵活性，（ii）水的可压缩性，（iii）水库底部波吸收，（iv）水库截断长度，和（v）激励频率。新的方法是用来获得准确的误差估计，以评估不同的热障对大坝水库的第一共振频率和水动力作用在大坝上游面的影响。建议的配方可以很容易地编程，并有效地用于严格评估的经典或新开发的TBCs振动大坝水库系统或类似的流体结构问题。
This paper proposes and validates a new formulation to investigate the dynamic response of dam–reservoir systems with upstream transmitting boundary conditions (TBCs). The mathematical derivations are provided for the new formulation as well as for exact and various approximate TBCs. The developed analytical equations can be solved numerically to assess the accuracy of a given TBC and determine the associated error independently of FEM or BEM modeling of the reservoir. The method is first validated in the case of semi-infinite reservoirs and an excellent agreement is obtained against classical techniques. The paper presents a fundamental understanding of the behavior of various TBCs and a systematic identification of their influence on the system's dynamic response, considering: (i) dam flexibility, (ii) water compressibility, (iii) reservoir bottom wave absorption, (iv) reservoir truncation length, and (v) excitation frequency. The new method is used to obtain exact error estimators to evaluate the effects of various TBCs on the dam–reservoir first resonant frequency and hydrodynamic forces acting on the dam upstream face. The proposed formulation can be programmed easily and used efficiently for rigorous assessment of classical or newly developed TBCs for vibrating dam–reservoir systems or similar fluid–structure problems.