Dynamic stability analysis of jointed rock slopes using the DDA method: King Herod's Palace, Masada, Israel

Hatzor, Yossef H.; Arzi, A.A.; Zaslavsky, Y.; Shapira, Avi

doi:10.1016/j.ijrmms.2004.02.002

Cited by 176 publications

(73 citation statements)

References 25 publications

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“…The introduction of kinetic damping in the analysis stems from previous work that suggests that with an increasing number of blocks in the mesh, a certain degree of energy dissipation is required for realistic modeling [8,18], because DDA does not consider inelastic energy dissipation mechanisms such as crushing at block ends, out-of-plane rotations, heat generation, etc.…”

Section: Resultsmentioning

confidence: 99%

“…In Israel alone, DDA has been applied to solve dynamic stability issues in the highly discontinuous Masada rock slopes [8] to stabilize a discontinuous overhanging cliff [9] and to determine the stability of historic underground excavations in discontinuous rock [10,11]. Unlike these applications, which involve potentially hazardous rock masses, this work uses the DDA method to examine the stability of man-made masonry structures.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Numerical analysis of block stone displacements in ancient masonry structures: A new method to estimate historic ground motions

Kamai

Hatzor

2007

Num Anal Meth Geomechanics

105

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SUMMARYAn innovative approach is presented, in which the discontinuous deformation analysis (DDA) method is used to estimate historic ground motions by back analysis of unique structural failures in archaeological sites. Two archaeological sites in Israel are investigated using this new approach and results are presented in terms of displacement evolution of selected structural elements in the studied masonry structure. The response of the structure is studied up to the point of incipient failure, in a mechanism similar to the one observed in the field. Structural response is found to be very sensitive to dynamic parameters of the loading function such as amplitude and frequency.Prior to back analysis of case studies, two validations are presented. Both compare the performance of DDA with analytical solutions and present strong agreement between the two.Using comprehensive sensitivity analyses, the most likely peak ground acceleration (PGA) and frequency that must have driven the observed block displacements are found for the two case studies-the Nabatean city of Mamshit and the medieval fortress of Nimrod in southern and northern Israel, respectively. It is found that horizontal peak ground accelerations (HPGA) of 0.5g and 1g were required to generate the observed deformations in Mamshit and Nimrod, respectively. Although these might seem too high, considering structural and topographic amplifications it is concluded that the analyses suggest ground motions of 0.2g at a frequency of 1.5 Hz for Mamshit and up to 0.4g at a frequency of 1 Hz for Nimrod. These values provide constraints on the seismic risk associated with these regions as appears in the local building code using a completely independent approach.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Numerical analysis of block stone displacements in ancient masonry structures: A new method to estimate historic ground motions

Kamai

Hatzor

2007

Num Anal Meth Geomechanics

105

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“…It should be noted that the value of kinetic damping plays a key role in the dynamic analysis of rock mass. Hatzor et al [11] and Tsesarsky et al [5] obtained that 2% kinetic damping was the correct number for the dynamic analysis of a single block on an inclined subjected to dynamic loading. However, the significance of the kinetic damping is still not clear, and the value of initial velocity discounted is hard to choose; therefore, some researchers have introduced self-adaptive damping [12] and viscous damping [13,14] to address these problems.…”

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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“…In this configuration, JC has maximum value, i.e. 0.75 and 2 for rock bridge area of 45cm 2 and 90 cm 2 , respectively (Table 1). Whereas the lowest joint surface has occupied the shear surface therefore less stress consecration occurred at tip of the joint.…”

mentioning

confidence: 94%

“…In this sense, the areas which are located between the neighbouring discontinuities are called the Rock Bridges (see the definition in Figure 1). The presences of rock bridges in not fully persistent natural discontinuity sets are a significant factor affecting the stability of rock structures and have the greatest importance for the shear resistance of the failure surface [1,2]. One claims to be on the safe side since the rock bridges are thought to produce a strength reserve, as they have to be broken first before failure can take place along the newly separated plane.…”

Section: Introductionmentioning

confidence: 99%

Sliding Phenomena in Intermittent Rock Joint

Sarfarazi¹,

Schubert²

2016

Period. Polytech. Civil Eng.

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Dynamic stability analysis of jointed rock slopes using the DDA method: King Herod's Palace, Masada, Israel

Cited by 176 publications

References 25 publications

Numerical analysis of block stone displacements in ancient masonry structures: A new method to estimate historic ground motions

Numerical analysis of block stone displacements in ancient masonry structures: A new method to estimate historic ground motions

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

Sliding Phenomena in Intermittent Rock Joint

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