• Title/Summary/Keyword: armor stability

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Comparison of Stability Coefficients of Radial Shape Armor Blocks Depending on Placement Methods (피복 방법에 따른 방사형 소파 블록의 안정계수 비교)

  • Min, Eun-Jong;Cheon, Se-Hyeon;Suh, Kyung-Duck
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.27 no.2
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    • pp.135-141
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    • 2015
  • In this study, two different uniform placement methods are proposed for each of Tetrapod, Rakuna-IV, and Dimple armoring a rubble mound breakwater, and the corresponding stability coefficients are determined by hydraulic experiments. The Tetrapod and Rakuna-IV show similar stability coefficients regardless of the placement methods, whereas the Dimple shows somewhat different stability coefficients depending on the placement methods. It is shown that the Dimple gives the largest stability coefficient, whereas the Tatrapod gives the smallest value. The uniform placement methods of Tatrapod and Rakuna-IV give slightly larger stability coefficients than the random placement, whereas the uniform placements of Dimple give much larger stability coefficients than the random placement. However, the small void ratio of uniform placements of Dimple requires attention because the blocks would behave like single layer system blocks so that brittle failure could occur.

Reliability Analyses of Breakwater Armor Blocks of Harbors in Korea (국내 항만의 방파제 피복 블록의 신뢰성 해석)

  • Kim, Seung-Woo;Suh, Kyung-Duck;Lee, Cheol-Eung;Park, Dong-Heon
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.21 no.1
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    • pp.15-29
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    • 2009
  • Most breakwater armor blocks are designed by using Hudson's or van der Meer's formula. The minimum weight of armor blocks is calculated by equating the resistance to the load in each formula. The larger value is then chosen as the design weight. In this study, we have performed reliability analyses for thus designed breakwater armor blocks of 12 trade harbors and 8 coastal harbors in Korea. The probability of failure calculated by the reliability analysis provides a criterion for evaluating the stability of armor blocks. The calculated probability of failure was almost same for all the breakwaters so that we were able to quantitatively evaluate the safety level of armor blocks of existing breakwaters. We also found that the safety factor used in the deterministic design method and the probability of failure in the reliability design method show a linear relationship. Therefore the probability of failure of existing breakwaters can be quantitatively calculated from the safety factors. The calculated probability of failure could also be used for determining the target probability of failure in the future.

Prediction of Stability Number for Tetrapod Armour Block Using Artificial Neural Network and M5' Model Tree (인공신경망과 M5' model tree를 이용한 Tetrapod 피복블록의 안정수 예측)

  • Kim, Seung-Woo;Suh, Kyung-Duck
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.23 no.1
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    • pp.109-117
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    • 2011
  • It was calculated using empirical formulas for the weight of Tetrapod, which was a representative armor unit in the rubble mound breakwater in Korea. As the formulas were evaluated from a curve-fitting with the result of hydraulic test, the uncertainty of experimental error was included. Therefore, the neural network and M5' model tree were used to minimize the uncertainty and predicted the stability number of armor block. The index of agreement between the predicted and measured stability number was calculated to assess the degree of uncertainty for each model. While the neural network with the highest index of agreement have an excellent prediction capability, a significant disadvantage exists that general designers can not easily handle the method. However, although M5' model tree has a lower prediction capability than the neural network, the model tree is easily used by the designers because it has a good prediction capability compared with the existing empirical formula and can be used to propose the formulas like an empirical formula.

Experimental Investigation on the Change of Stability Coefficient of Tetrapod According to Difference in Density (비중 차이에 따른 테트라포드 안정계수 변화에 관한 실험적 연구)

  • Lee, Dal Soo;Oh, Sang-Ho;Cho, Bong Suk
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.28 no.3
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    • pp.124-131
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    • 2016
  • In this study, a physical experiment was performed to investigate the change in the stability coefficient, defined by Hudson equation, for the tetrapod of different specific densities. The experiment was carried out once (with no repetition) for a rubble mound breakwater with 1:1.5 slope. In this experiment, the stability coefficient for the high-density tetrapod was greater than that for the normal-density tetrapod. This indicates variability of the stability coefficient according to change in the density of tetrapod. Further experiments and detailed analysis are required to investigate the effect of the density on the stability coefficient of tetrapod.

Hydraulic Experiments on Stable Armor Weight and Covering Range of Round Head of Rubble-Mound Breakwater Armored with Tetrapods: Non-breaking conditions (경사식방파제 제두부에 거치된 Tetrapod의 안정중량 및 피복범위에 관한 수리실험: 비쇄파 조건)

  • Kim, Young-Taek;Lee, Jong-In
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.29 no.6
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    • pp.389-398
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    • 2017
  • The re-analysis on the stable weight of the concrete armor unit (CAU) at the roundhead and the suggestion of the covering range at the roundhead with the increased weight of CAU were conducted. Tetrapods were applied to the tests and the three dimensional hydraulic tests were performed. The test results for the stable weight at the roundhead area were similar to the guides from Korean Design Standard for Harbour and Fishery Port (MOF, 2014) and Coastal Engineering Manual (USACE, 2005). The investigation of covering range at the roundhead of rubble mound structures armoured with Tetrapods was suggested that the length of five times of the design wave height from the tip of the superstructure was needed and appropriate. Both sides of the superstructure should be covered with increasing weighted CAU to satisfy the stability at roundhead area.

Comparative Study of Reliability Design Methods by Application to Donghae Harbor Breakwaters. 1. Stability of Amor Blocks (동해항 방파제를 대상으로 한 신뢰성 설계법의 비교 연구. 1 피복 블록의 안정성)

  • Kim Seung-Woo;Suh Kyung-Duck;Oh Young Min
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.17 no.3
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    • pp.188-201
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    • 2005
  • This is the first part of a two-part paper which describes comparison of reliability design methods by application to Donghae Harbor Breakwaters. This paper, Part 1, is restricted to stability of armor blocks, while Part 2 deals with sliding of caissons. Reliability design methods have been developed fur breakwater designs since the mid-1980s. The reliability design method is classified into three categories depending on the level of probabilistic concepts being employed. In the Level 1 method, partial safety factors are used, which are predetermined depending on the allowable probability of failure. In the Level 2 method, the probability of failure is evaluated with the reliability index, which is calculated using the means and standard deviations of the load and resistance. The load and resistance are assumed to distribute normally. In the Level 3 method, the cumulative quantity of failure (e.g. cumulative damage of armor blocks) during the lifetime of the breakwater is calculated without assumptions of normal distribution of load and resistance. Each method calculates different design parameters, but they can be expressed in terms of probability of failure so that tile difference can be compared among the different methods. In this study, we applied the reliability design methods to the stability of armor blocks of the breakwaters of Donghae Harbor, which was constructed by traditional deterministic design methods to be damaged in 1987. Analyses are made for the breakwaters before the damage and after reinforcement. The probability of failure before the damage is much higher than the target probability of failure while that for the reinforced breakwater is much lower than the target value, indicating that the breakwaters before damage and after reinforcement were under- and over-designed, respectively. On the other hand, the results of the different reliability design methods were in fairly good agreement, confirming that there is not much difference among different methods.

Experimental Study of the Stability of Under layer Armor Block (불규칙파에 의한 중간피복블록의 안정성 검토)

  • Kim, Kyu-Han;Choe, Hyun;Pyun, Chong-Kun
    • Proceedings of the Korean Society of Coastal and Ocean Engineers Conference
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    • 2000.09a
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    • pp.171-175
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    • 2000
  • 국내 시공사례가 가장 많은 사석식 경사제는 피복층(cover layer), 중간피복층(underlayer), 그리고 내부사석(core and bedding layer)으로 이루어져 있다. 이 중 중간피복층의 재료는, 피복재의 중량(W)에 대한 중량비 W/10에서 W/15의 자연석을 이용하여 시공하는 것이 보통이다. 그러나, 항만의 대형화에 따른 설계파의 증가로 이형블록과 같은 피복재의 소요 중량이 증가하는 추세이며 이에 따른 중간피복재의 소요중량도 크게 되어 그에 만즌 자연석을 구하기 어려운 실정이다. (중략)

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Development of a Stability Formula for Tetrapod by Using M5' Model Tree (M5' Model Tree를 이용한 Tetrapod 안정식 개발)

  • Kim, Seung-Woo;Suh, Kyung-Duck
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.25 no.3
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    • pp.138-146
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    • 2013
  • Tetrapod, one of the famous armor blocks for rubble mound breakwaters, has been widely used in the world. In order to evaluate the required weight of Tetrapod, many researchers have proposed various stability formulas. Since the stability formulas were proposed by curve-fitting the experimental data, some uncertainties are included in the formulas. The main uncertainties are associated with experimental data, derivation of the formula, and variability of the design variables. In this study, a new stability formula is developed by using M5' model tree, which reduces the uncertainty in the derivation of the formula. The index of agreement is used to evaluate the performance of the developed formula. The index of agreement for the new formula is higher by about 0.1 than the previous formula. The performance of the previous formula was not good when the predicted stability number is greater than about 3.0. However. the new formula is accurate regardless of the magnitude of stability number. As a result, the new formula performs better than the previous formula, while expressed in the form of a tree but still in an explicit form.

Effect of Wave-Induced Seepage on the Stability of the Rubble Mound Breakwater (동적 파랑에 의한 침투류가 사석경사식 방파구조물의 안정성에 미치는 영향)

  • Hwang, Woong-Ki;Kim, Tae-Hyung;Kim, Do-Sam;Oh, Myounghak;Park, Jun-Young
    • Journal of the Korean Geotechnical Society
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    • v.34 no.3
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    • pp.13-27
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    • 2018
  • To study how stable the rubble mound breakwaters are, one can look to the research of wave induced seepage flow through the pores of the rubble mound. Seepage flow is generally generated by the difference between the water level around the breakwater during a typhoon. The existing stability analysis method of the rubble mound is the static analysis which simply considers the force equilibrium taking into account the horizontal force acting on the concrete block induced by a wave (calculated by Goda equation) and the vertical force induced by the weight inclusive of the concrete block, quarry run, filter, and armor layer above the slipping plane. However, this static method does not consider the wave-induced seepage flow in the rubble mound. Such seepage may decrease the stability of the rubble mound. The stability of a rubble mound breakwater under the action of seepage was studied based on the results of CFD software (OpenFOAM) and Limit Equilibrium Method (GeoStudio). The numerical analysis result showed that the seepage flow decreased the stability of the rubble mound breakwaters. The results of the numerical analyses also revealed the stability of the rubble mound was varied with time. Especially, the most critical state happened at the condition of overtopping the concrete block, acting strong uplift pressure raising along side and underneath the concrete block, and generating high pore pressure inside rubble mound due to seepage flow. Therefore, it may be necessary to conduct a dynamic analysis considering the effect of wave-induce seepage flow together with the static analysis.