Hydrodynamic Pressure on Gravity Dams with Different Heights and the Westergaard Correction Formula

Wang, Mingming; Chen, Jianyun; Wu, Liang; Song, Bang‐Sup

doi:10.1061/(asce)gm.1943-5622.0001257

Cited by 10 publications

(4 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The most popular method for modelling the dam‐reservoir interaction is the Westergaard one which takes into account the hydrodynamic pressure on the dam upstream surface by means of additional masses. However, it was found that this method gives biased estimates in a modal or dynamic analysis especially for arch dams 12,15,16 . The objective of this section is to apply this simple method to the studied dam and then check the induced errors in the modal parameters by comparing with the previous results.…”

Section: Numerical Modal Analysis With the Westergaard Methodsmentioning

confidence: 99%

“…However, it was found that this method gives biased estimates in a modal or dynamic analysis especially for arch dams. 12,15,16 The objective of this section is to apply this simple method to the studied dam and then check the induced errors in the modal parameters by comparing with the previous results. It is expected to provide some useful insights into and improve understanding about the method's deficiencies.…”

Section: Numerical Modal Analysis With the Westergaard Methodsmentioning

confidence: 99%

“…10 This technique considers the reservoir effects by adding additional masses on the dam upstream face, so it largely simplifies the modelling of dam-reservoir systems and has been widely applied in dam engineering. [11][12][13][14] However, the Westergaard method was found to be inaccurate in estimating the natural frequencies and stresses under dynamic loadings [15][16][17] especially for arch dams. For example, different participants of the Theme A of the 12 th ICOLD benchmark 12 showed that the Westergaard technique underestimates the fundamental frequency of the studied arch dam with an error around 15%.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

View full text Add to dashboard Cite

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.

show abstract

Section: Numerical Modal Analysis With the Westergaard Methodsmentioning

confidence: 99%

Section: Numerical Modal Analysis With the Westergaard Methodsmentioning

confidence: 99%

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

View full text Add to dashboard Cite

show abstract

“…The Westergaard's [32,33] virtual mass is employed to provide the influence of hydrodynamics. The importance of the simulated mass of Westergaard [34] is 𝑀 𝑖 1 at node i on the upstream of the dam's surface is:…”

Section: Experimental Testsmentioning

confidence: 99%

Experimental and Nonlinear Analysis of Cracking in Concrete Arch Dams Due to Seismic Uplift Pressure Variations

Kadhim

Alfatlawi

Hussein

2021

IJE

View full text Add to dashboard Cite

Cracked concrete arch dam's behavior due to moderate earthquake magnitude and water pressure variation was investigated. Plain concrete was used to cast the dam's models with 45 Mpa design strength. A shake table has been planned, manufactured, and built to create a dynamic testing facility. The experimental work was included testing of four scaled-down concrete arch dams' models, which is divided into two groups, each group contains two different degrees of curvature models. An artificial crack was made at the center of the dam's body. The extended finite element method (XFEM) is outlined in order to address the numerical predicate for the propagation of a crack. The results showed a good behavior of all arch dams under moderate earthquake intensity. The arch dam with a higher degree of curvature recorded 17.8% and 16.2% lower displacement at Z and X-direction, respectively. The stress evaluation and crack propagation in comparison with the arch dam owns the lowest degree of curvature. Hence, increasing the degree of curvature led to raising the stability of the dam, earthquake resistance, less displacement, and less growth of tensile cracks.

show abstract

Finite element-based direct coupling approach for dynamic analysis of dam–reservoir system

Das

Mandal

Niyogi

2022

Innov. Infrastruct. Solut.

View full text Add to dashboard Cite

Hydrodynamic Pressure on Gravity Dams with Different Heights and the Westergaard Correction Formula

Cited by 10 publications

References 19 publications

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

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

Experimental and Nonlinear Analysis of Cracking in Concrete Arch Dams Due to Seismic Uplift Pressure Variations

Finite element-based direct coupling approach for dynamic analysis of dam–reservoir system

Contact Info

Product

Resources

About