Dynamic response of concrete gravity dams using different water modelling approaches: westergaard, lagrange and euler

Altunışık, Ahmet Can; Sesli, Hasan

doi:10.12989/cac.2015.16.3.429

Cited by 17 publications

(5 citation statements)

References 20 publications

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“…The results indicated that the higher coupled frequencies would be obtained from the added mass approach as compared to the actual ones, whereas the more approximate coupled frequencies would be obtained from the Lagrangian approach. Altunisik and Sesli [30] used three different reservoir water modelling methods-Westergaard, Lagrange and Euler-to calculate the dynamic hydrodynamic pressures on the 90 m high Sariyar gravity dam. The reservoir length was 3 times the dam height in both the Lagrange and Euler methods.…”

Section: Introductionmentioning

confidence: 99%

Influences on the Seismic Response of a Gravity Dam with Different Foundation and Reservoir Modeling Assumptions

Wang

Zhang²,

Zhang

et al. 2021

Water

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The seismic design and dynamic analysis of high concrete gravity dams is a challenge due to the dams’ high levels of designed seismic intensity, dam height, and water pressure. In this study, the rigid, massless, and viscoelastic artificial boundary foundation models were established to consider the effect of dam–foundation dynamic interaction on the dynamic responses of the dam. Three reservoir water simulation methods, namely, the Westergaard added mass method, and incompressible and compressible potential fluid methods, were used to account for the effect of hydrodynamic pressure on the dynamic characteristics and seismic responses of the dam. The ranges of the truncation boundary of the foundation and reservoir in numerical analysis were further investigated. The research results showed that the viscoelastic artificial boundary foundation was more efficient than the massless foundation in the simulation of the radiation damping effect of the far-field foundation. It was found that a foundation size of 3 times the dam height was the most reasonable range of the truncation boundary of the foundation. The dynamic interaction of the reservoir foundation had a significant influence on the dam stress.

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Section: Introductionmentioning

confidence: 99%

Influences on the Seismic Response of a Gravity Dam with Different Foundation and Reservoir Modeling Assumptions

Wang

Zhang²,

Zhang

et al. 2021

Water

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“…The fluid-element method accounts for this factor by geometrically modelling the reservoir and keeping some continuous conditions at the interfaces. In this paper, the Euler approach 18 is adopted which means that the solid and fluid are expressed with displacements and pressures, respectively. In this method, it is assumed that the fluid is compressible, inviscid, irrotational and vibrates with small displacements.…”

Section: Presentation Of the Fluid-element Methodsmentioning

confidence: 99%

“…In consequence, more advanced numerical methods were proposed in which the reservoir is explicitly modelled by using specifically designed fluid elements. It permits to consider the vibration of reservoir since not only the mass effect is added but also the stiffness one and thus the model of the fluid‐structure interactions is more realistic 18,19 …”

Section: Introductionmentioning

confidence: 99%

“…It permits to consider the vibration of reservoir since not only the mass effect is added but also the stiffness one and thus the model of the fluid-structure interactions is more realistic. 18,19 In practice, there is still a need of using simplified methods such as the Westergaard in case that a quick estimation is required or a large number of simulations need to be performed, for example, in a parametric study or a reliability analysis. Therefore, it could be interesting to investigate the possibility of keeping its simple 'added mass' expression after some calibrations.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Modal analysis of an arch dam combining ambient vibration measurements, advanced fluid‐element method and modified engineering approach

Guo

Dufour

Humbert

2022

Earthq Engng Struct Dyn

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Modal analysis, aiming at estimating modal characteristics such as natural frequencies and mode shapes, is fundamental for studying the dynamic behaviours of a structure. This paper presents a modal analysis of an arch dam using three different techniques. The reference one is based on the statistical analysis of the ambient vibration data collected from the dam crest. The two other approaches are both numerical but with different methods (fluid‐element and Westergaard) for the modelling of the reservoir and its interactions with the dam. By applying the three techniques to the studied dam and comparing their results, it is demonstrated that: (1) analysing the ambient vibration data through an operational modal analysis method is able to extract the dam modal characteristics; (2) the fluid‐element method is effective for arch dams since the first 10 natural frequencies can be accurately predicted once the material parameters are calibrated on the first three modes; and (3) the Westergaard method, a technique with only additional masses, produces significantly under‐estimated frequencies for the first few modes if same parameters are used as the fluid‐element method; the underestimation can be corrected for several modes by using a higher stiffness parameter but the required value is unrealistic for the case study. Furthermore, a modified Westergaard method is introduced in this paper by using a reduced added‐mass coefficient. This method, once the coefficient is calibrated on the 1st mode, is able to well predict the partially coupled modes as illustrated with the case study of the Saint‐Guérin dam.

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“…Research on the impact of hydrodynamic pressure on the dynamic behavior of dams first appeared in the 1930s (Zangar andHaefeli 1952, Zienkiewicz andNath 1963). Numerous researchers have used Eulerian and Lagrangian approaches (Altunisik and Sesli 2015, Calayir et al 1996, Kalateh 2019, Ouzandja et al 2017, Shu et al 2022, Wang et al 2020 to study the dynamic response of dam-reservoir systems. One of the most significant forces in the design of dams, hydrodynamic force, was treated as deterministic in these studies.…”

Section: Introductionmentioning

confidence: 99%

Seismic analysis of Fractured Koyna Concrete Gravity Dam

Ouzandja¹,

Messaad

Berrabah

et al. 2023

Archives of Hydro-Engineering and Environmental Mechanics

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Seismic analysis of a fractured dam is a generally complex problem. This paper presents an earthquake behavior investigation of a fractured concrete gravity dam considering dam-reservoir--foundation rock interaction. The Koyna dam profile, located in India, is adopted in this study. The nonlinear finite element analyses are conducted taking into account empty and full reservoir cases, to exhibit the hydrodynamic e ect of reservoir water on the dam earthquake response. The hydrodynamic pressure is modeled by fluid finite elements based on a Lagrangian approach. Transient analyses take into account material and connection nonlinearity. Drucker-Prager model is employed in nonlinear analyses for the dam concrete and foundation rock. The structural crack between the top and bottom blocks of the dam is presented by surface-to-surface contact elements based on Coulomb’s friction law in order to simulate the behavior of contact joints and deformation of blocks. The distribution of horizontal displacements and principal stresses along the dam height is investigated for empty and full reservoir cases.The failure processes of two potential failure modes of cracked dam, i.e, the separation and sliding of top block during an earthquake, are examined.

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Dynamic response of concrete gravity dams using different water modelling approaches: westergaard, lagrange and euler

Cited by 17 publications

References 20 publications

Influences on the Seismic Response of a Gravity Dam with Different Foundation and Reservoir Modeling Assumptions

Influences on the Seismic Response of a Gravity Dam with Different Foundation and Reservoir Modeling Assumptions

Modal analysis of an arch dam combining ambient vibration measurements, advanced fluid‐element method and modified engineering approach

Seismic analysis of Fractured Koyna Concrete Gravity Dam

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