Three‐dimensional boundary element reservoir model for seismic analysis of arch and gravity dams

Jablonski, Alexander M.; Humar, J. L.

doi:10.1002/eqe.4290190306

Cited by 15 publications

(4 citation statements)

References 12 publications

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“…Therefore, it is important to understand the dynamic characteristics of liquid-tank interaction. 150 D. ZHOU AND W. LIU Numerous investigations on liquid-structure interaction can be found in literature, using different methods such as finite element methods [4,5], boundary element methods [6][7][8], analytical methods [9][10][11] and semi-analytical methods [12][13][14][15][16]. There is no doubt that the numerical methods such as finite element, boundary element or their combination can resolve the liquidstructure interaction especially for structures with complex geometry, however, the modelling, code preparation and numerical computation generally require a long time.…”

Section: Introductionmentioning

confidence: 99%

Hydroelastic vibrations of flexible rectangular tanks partially filled with liquid

Zhou

Liu

2006

Numerical Meth Engineering

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SUMMARYIn this paper, the three-dimensional vibratory characteristics of flexible rectangular tanks partially filled with liquid are studied. The surface waves of the liquid are taken into account in the analysis. Both the bulging modes of the tank-wall vibration and the sloshing modes of the liquid oscillation are investigated. The vibrating modes of the liquid-tank system are divided into four distinct categories: double symmetric modes (SS); antisymmetric-symmetric modes (AS); symmetric-antisymmetric modes (SA) and double antisymmetric modes (AA). Each of these categories is separately investigated. The velocity potential of the liquid is analytically deduced by using a combination of the superposition method and the method of separation of variables. According to the liquid-tank interface conditions and the orthogonality of trigonometric functions, the coefficients in the solution of liquid velocity potential are expressed in the integral forms including the tank-wall dynamic deflection. A set of reasonable static beam functions is constructed as the admissible functions of the tank-wall vibration. The eigenfrequency equation of the liquid-tank system is derived by using a combination of the Rayleigh-Ritz method and the Galerkin method. Convergence study demonstrates the high accuracy and small computational cost of the proposed approach. Finally, some numerical results are presented for the first time.

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Section: Introductionmentioning

confidence: 99%

Hydroelastic vibrations of flexible rectangular tanks partially filled with liquid

Zhou

Liu

2006

Numerical Meth Engineering

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“…Moreover, BEM and FEM can be used together for a tank's analysis, here the liquid can be modelled using BEM, and the tank walls are modelled using FEM, thus providing the benefits of both approaches. This advantage has prompted several researchers to use this method to solve the FSI problem in dams [75][76][77] and tanks [78][79][80][81][82]. The governing equation of motion for a coupled tank-fluid system based on FEM-BEM is as follows:…”

Section: Direct Modelling Approachesmentioning

confidence: 99%

A Review on the Modelling Techniques of Liquid Storage Tanks Considering Fluid–Structure–Soil Interaction Effects with a Focus on the Mitigation of Seismic Effects through Base Isolation Techniques

2023

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Globally, tanks play a major part in the provision of access to clean drinking water to the human population. Beyond aiding in the supply of fresh water, tanks are also essential for ensuring good sanitary conditions for people and for livestock. Many countries have realized that a robust water supply and a robust sanitation infrastructure are necessary for sustainable growth. Therefore, there is large demand for the construction of storage tanks. Further, liquid storage tanks are crucial structures which must continue to be operational even after a catastrophic natural event, such as an earthquake, to support rehabilitation efforts. From an engineering point of view, the various forces acting on the tanks and the behaviour of the tanks under various loads are important issues which need to be addressed for a safe design. Analyses of the tanks are challenging due to the interaction between the fluid and tank wall. Thus, researchers have conducted several investigations to understand the performance of storage tanks subjected to earthquakes by considering this interaction. This paper discusses the historical development of various modelling techniques of storage tanks. The interaction with the soil also influences the behaviour of the tanks, and hence, in this paper, various modelling approaches for soil structure interaction are also reviewed. Further, a brief history of various systems of base isolation and modelling approaches of base-isolated structures are also discussed in this article.

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“…For the reservoir with irregular geometry, numerical methods such as finite element method must be used, because an analytical solution cannot obtain the results for the arbitrary boundary and geometry of the system. Jablonski and Humar (1990) [8] applied the boundary element method in frequency domain for seismic analysis of concrete dams. The Monte Carlo method is a simulation method, one of the common goals of which is to estimate the specific parameters and probability distributions of random variables.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of the effect of reservoir length on seismic behavior of concrete gravity dams using Monte Carlo method

Khiavi

Ghorbani

Kouchaki

2020

NMCE

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In present study, the effect of reservoir length on seismic performance of concrete gravity dam has been investigated. Monte Carlo probabilistic analysis has been used to achieve a sensitivity of the responses to variation of truncated reservoir length in finite element model. The ANSYS software based on finite element method is applied for modeling and analysis. The Pine Flat dam in California, under components of El Centro, San Fernando and North Ridge earthquake, is modeled as a case study to evaluate the effect of reservoir length on seismic behavior and optimization. The foundation flexibility has been considered in modeling and Sommerfeld boundary condition has been used for reservoir truncated boundary condition. In Monte Carlo probabilistic analysis, the reservoir length has been considered as input variable and maximum dam crest displacement, maximum hydrodynamic pressure in reservoir and maximum tensile principal stress in heel and compressive principal stress in toe of dam have been selected as output parameters. The Latin Hypercube sampling method has been applied with unique distribution function for input variable. Obtained results show the sensitivity of output responses to variation of reservoir length. Considering sensitivity results, it is possible to select the optimum length of reservoir for finite element model.

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Three‐dimensional boundary element reservoir model for seismic analysis of arch and gravity dams

Cited by 15 publications

References 12 publications

Hydroelastic vibrations of flexible rectangular tanks partially filled with liquid

Hydroelastic vibrations of flexible rectangular tanks partially filled with liquid

A Review on the Modelling Techniques of Liquid Storage Tanks Considering Fluid–Structure–Soil Interaction Effects with a Focus on the Mitigation of Seismic Effects through Base Isolation Techniques

Evaluation of the effect of reservoir length on seismic behavior of concrete gravity dams using Monte Carlo method

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