A technique for the analysis of the response of dams to earthquakes

Lotfi, Vahid; Roësset, José M.; Tassoulas, John L.

doi:10.1002/eqe.4290150405

Cited by 75 publications

(33 citation statements)

References 13 publications

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“…, N -1 where only the real part of H ( m Am) is used at in = N/2. The * signifies that the P*(m Am) are approximations of the exact samples P(m Am) from equation (2), and the ' signifies that the o'(n At) are approximations of the exact samples o(n At) from either equation (1) or equation (3). Also, T > T,, and the p(n At) for n At > T, are set to zero.…”

Section: Existing Standard Proceduresmentioning

confidence: 99%

Linear system response by DFT: Analysis of A recent modified method

Hall

Beck

1993

Earthq Engng Struct Dyn

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SUMMARYAn analysis of a recent modified frequency-domain procedure for computing the response of linear systems using the fast Fourier transform (FFT) algorithm is described. This modified procedure eliminates the appended free-vibration interval that is used in the standard approach. The duration of the period of computation still needs to be longer than that of the response interval of interest, but only slightly. Reducing the period of computation lowers the number of frequencies at which the transfer function needs to be defined. The major drawback of the method is a high sensitivity to errors in the computed values of the transfer function, which reduces the role of interpolation in the transfer function definition. The modified method is related to the discrete Laplace transform.

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Section: Existing Standard Proceduresmentioning

confidence: 99%

Linear system response by DFT: Analysis of A recent modified method

Hall

Beck

1993

Earthq Engng Struct Dyn

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“…Equation (10) can be discretized by the coupling model of finite and infinite elements and the discretized equation of motion of the solid can be expressed as (12) where M and K are the global mass matrix and stiffness matrix of the solid, respectively. A is the global nodal displacement vector in the solid region and F, is the amplitude vector of the input harmonic load.…”

Section: Numerical Simulation Of the Solid Regionmentioning

confidence: 99%

Dynamic response of concrete gravity dams including dam–water–foundation interaction

Valliappan

Zhao

1992

Num Anal Meth Geomechanics

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SUMMARYIn this paper, the gravity dam-water-foundation system including the physical and mechanical properties of the sediment at the reservoir bottom is modelled using a finite element and infinite element coupling model. The sediment at the reservoir bottom has been assumed to be a viscoelastic solid medium. The effects of thickness, elastic modulus, Poisson's ratio and material damping of the sediment on the response of the dam have been studied. The related numerical results from this study illustrated that the existence of the sediment at the bottom of the reservoir has significant effects on the response of concrete gravity dams since the soft layer of the sediment plays two main roles in the dam-water-foundation system, the energy dissipation of the system and the amplification of the incident wave on the water-sediment interface. It is the amplified acceleration on the water-sediment interface that results in different mechanisms of the effect of the sediment on the response of the dam. Therefore, apart from the incident wave, the thickness, the softness and the damping ratio of the sediment can also affect the response of the dam.

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“…An outstanding work on dam-reservoir-foundation interaction by using the finite element method in the frequency domain or the indirect time domain has been carried out by Chopra and his colleagues (Chopra and Chakrabarti 1981;Hall and Chopra 1982;Chopra 1984, 1985;Lotfi et al 1987). The boundary element method has also been successfully applied to the dam dynamics (Humar and Jablonski 1988;Medina and Dominguez 1989;Wept et al 1988;Antes and von Estorff 1987;von Estorff and Antes 1991;Touhei and Ohmachi 1993).…”

Section: Introductionmentioning

confidence: 97%

Dynamic analysis of dam?reservoir-foundation interaction in time domain

Küçükarslan

2004

Computational Mechanics

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In this paper, a time domain dynamic analysis of the dam-reservoir-foundation interaction problem is developed by coupling the dual reciprocity boundary element method (DRBEM) for the infinite reservoir and foundation domain and the finite element method for the finite dam domain. An efficient coupling procedure is formulated by using the substructuring method. Sharan's boundary condition at the far end of the infinite fluid domain is implemented. To verify the proposed scheme, numerical examples are carried out and compared with available exact solutions and finite-finite element coupling results for the problem of the dam-reservoir interaction. Finally, a complete dam-reservoir-foundation interaction problem is solved and its solution is compared with previously published results.

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A technique for the analysis of the response of dams to earthquakes

Cited by 75 publications

References 13 publications

Linear system response by DFT: Analysis of A recent modified method

Linear system response by DFT: Analysis of A recent modified method

Dynamic response of concrete gravity dams including dam–water–foundation interaction

Dynamic analysis of dam?reservoir-foundation interaction in time domain

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