Site response analysis with two‐dimensional numerical discontinuous deformation analysis method

Bao, Huirong; Yagoda-Biran, Gony; Hatzor, Yossef H.

doi:10.1002/eqe.2340

Cited by 19 publications

(15 citation statements)

References 18 publications

(29 reference statements)

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“…In Bao et al (2014) resonance frequency was calculated by numerical discontinuous deformation analysis (DDA) method and measured as well. DDA method to perform site response analysis of free standing columns can be found in that study.…”

Section: Introductionmentioning

confidence: 99%

Numerical Modeling of Stalagmite Vibrations

Gribovszki

Esterhazy

Bokelmann

2018

Pure Appl. Geophys.

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Abstract-Recently, it has been argued that natural, intact stalagmites in caves give important constraints on seismic hazard since they have survived all earthquakes over their (rather long) life span. This suggests that the pattern of oscillation should be fully understood, including the splitting of eigenfrequencies that has occurred in recent cave observations. In the present study, we simulate the oscillation of a given stalagmite by setting up four simplified models of the stalagmite. The dimensions of the intact stalagmite were measured in situ, and the geo-mechanical and elastic parameters of broken stalagmite samples, determined in geo-mechanical laboratory, have been taken into account. The eigenfrequencies of the stalagmite are then calculated numerically, by the finite element method, and compared with the measured in situ values. The latter have shown splitting of eigenfrequencies, which we were able to reproduce by the numerical model calculations taking into account the asymmetric shape of the stalagmite.

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Section: Introductionmentioning

confidence: 99%

Numerical Modeling of Stalagmite Vibrations

Gribovszki

Esterhazy

Bokelmann

2018

Pure Appl. Geophys.

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“…In addition, Bao et al . recommended the block size should also to be smaller than 1/16 for better resolved wave shape in dealing with one‐dimensional S‐wave problems.…”

Section: Discussionmentioning

confidence: 99%

“…Time step is another significant factor, which independently affects the solution accuracy from the block size . The time step size must be smaller than the upper limit decided by Eq.…”

Section: Discussionmentioning

confidence: 99%

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Validating the ability of the discontinuous deformation analysis method to model normal P‐wave propagation across rock fractures

Gong

Wang

Ning

et al. 2017

Num Anal Meth Geomechanics

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Summary The effects of fractures on wave propagation problems are increasingly abstracting the attention of scholars and engineers in rock engineering field. This study aims to fully validate the ability of discontinuous deformation analysis (DDA) to model normal P‐wave propagation across rock fractures. The effects of a single fracture and multiple parallel fractures are all tested. The results indicate that DDA can accurately reflect the fracture effects, including the fractures stiffness, the fracture spacing and the fracture number, and the effects of incident wave frequency on one‐dimensional P‐wave propagation problems. Thus, DDA is able to deal well with normal incident P‐wave propagation problems. Copyright © 2017 John Wiley & Sons, Ltd.

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“…Doolin and Sitar [16] studied the time integration of DDA and noted that the algorithmic damping may be important considering the penalty formulation. Bao et al [17] obtained an equivalent damping ratio from the algorithmic damping in DDA using the cantilever beam model. Overall, the damping researches of DDA are always in progress.…”

Section: Introductionmentioning

confidence: 99%

Study on the Damping of the Discontinuous Deformation Analysis Based on Two‐Block Model

Feng

Jiang

et al. 2017

Mathematical Problems in Engineering

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The deformation and failure of rock mass is a process of energy dissipation; the damping of DDA is a very important and basic problem. The correctness and effectiveness of DDA rely on the appropriate values of the numeric controlling parameters like time interval, spring stiffness, and assumed maximum displacement ratio 2 , and the contact using the penalty method is the core content of DDA. A mechanical model of two contact blocks loaded with the normal force acting along one side of block boundary is established to study the DDA damping problem, which involves the contact and eliminates the influence of some numeric control parameters (e.g., 2 ). Based on the Newmark method and the theory of DDA, the motion equations of two-block system can be established, and then the relationship of some numeric control parameters and the influence of damping can be obtained. The algorithmic damping increases with the increasing of time interval. Given a very small time interval, the spring stiffness may have no obvious effect on the algorithmic damping. The numerical results reveal that the essence of time interval influencing the openclose iteration is the fact that the algorithmic damping is mainly controlled by time interval.

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Site response analysis with two‐dimensional numerical discontinuous deformation analysis method

Cited by 19 publications

References 18 publications

Numerical Modeling of Stalagmite Vibrations

Numerical Modeling of Stalagmite Vibrations

Validating the ability of the discontinuous deformation analysis method to model normal P‐wave propagation across rock fractures

Study on the Damping of the Discontinuous Deformation Analysis Based on Two‐Block Model

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