• Journal of Industrial Technology
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• v.21 no.B
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• pp.163-174
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• 2001

A dynamic reliability model for analyzing the stability of armor units on rubble-mound breakwater is mathematically developed by using Hudson's formula and definition of single-failure mode. The probability density functions of resistance and loading functions are defined properly, the related parameters to those probability density functions are also estimated straightforwardly by the first-order analysis. It is found that probabilities of failure for the stability of armor units on rubble-mound breakwater are continuously increased as the service periods are elapsed, because of the occurrence of repeated loading of random magnitude by which the resistance may be deteriorated. In particular, the factor of safety is incorporated into the dynamic reliability model in order to evaluate the probability of failure as a function of factor of safety. It may thus be possible to take some informations for optimal design as well as managements and repairs of armor units on rubble-mound breakwater from the dynamic reliability analyses.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.35 no.2
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• pp.23-32
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• 2023

Probabilistic and deterministic analyses are implemented for the armor units of rubble foundation mound of composite breakwaters which is needed to protect the upright section against the scour of foundation mounds. By a little modification and incorporation of the previous empirical formulas that has commonly been applied to design the armor units of foundation mound, a new type formula of stability number has been suggested which is capable of taking into account slopes of foundation mounds, damage ratios of armor units, and incident wave numbers. The new proposed formula becomes mathematically identical with the previous empirical formula under the same conditions used in the developing process. Deterministic design have first been carried out to evaluate the minimum weights of armor units for several conditions associated with a typical section of composite breakwater. When the slopes of foundation mound become steepening and the incident wave numbers are increasing, the bigger armor units more than those from the previous empirical formula should be required. The opposite trends however are shown if the damage ratios is much more allowed. Meanwhile, the reliability analysis, which is one of probabilistic models, has been performed in order to quantitatively verify how the armor unit resulted from the deterministic design is stable. It has been confirmed that 1.2% of annual encounter probability of failure has been evaluated under the condition of 1% damage ratio of armor units for the design wave of 50 years return period. By additionally calculating the influence factors of the related random variables on the failure probability due to those uncertainties, it has been found that Hudson's stability coefficient, significant wave height, and water depth above foundation mound have sequentially been given the impacts on failure regardless of the incident wave angles. Finally, sensitivity analysis has been interpreted with respect to the variations of random variables which are implicitly involved in the formula of stability number for armor units of foundation mound. Then, the probability of failure have been rapidly decreased as the water depth above foundation mound are deepening. However, it has been shown that the probability of failure have been increased according as the berm width of foundation mound are widening and wave periods become shortening.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.40 no.1
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• pp.43-49
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• 2020

In this study, the stability of the low crested structure armoured by Tripod block has been investigated using two-dimensional hydraulic model tests. The effect of wave steepness and freeboard on the rock stability on crest, front, and the rear slope has been investigated. From the experimental data, the new empirical formula for the stability coefficients of the Tripod block was proposed. But Tripod is not proper to use the armour block of the low crested structure because the uplift force of this block is greater than that of Tetrapod and rock.

• Proceedings of the Korean Society of Coastal and Ocean Engineers Conference
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• 2004.08a
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• pp.160-163
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• 2004

• 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)

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.11 no.3
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• pp.165-172
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• 1999

A probability density function of reliability function is derived in this paper, by which the stability of armor units on the rubble-mound breakwater can be studied on the probabilistic approach. To obtain the distribution, each random variable of the reliability function is assumed to follow Gaussian distribution. The distribution function of reliability function is in agreement with the histogram simulated by the Monte-Carlo method. In addition, the failure probability of armor units on the rubble-mound breakwater evaluated by the derived probability density function is shown to have the same order of magnitude as those calculated by FMA and AFDA of moment method. In particular, it is important to note that random variables of the reliability function may be considered to be statistically independent in the reliability analysis of armor units on the rubble-mound breakwater. Therefore, the present approach may be straightforwardly applicable to all of the cases that any random variables in the reliability function are controlled by other distribution functions as well as normal distribution.

• 한국가스학회:학술대회논문집
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• 2002.05a
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• pp.111-121
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• 2002

천연가스 수송배관은 매설환경시의 방식 및 외부충격 등에 대비하여 배관을 보호할 목적으로 폴리에틸렌(polyethylene)으로 피복(coating)되어 있다. 가스배관이 전국으로 확장됨과 더불어 배관피복 기술도 초기 사용하던 1층(one-layer), 2층피복으로 발전되어 현재는 3층피복시스템을 적용한 배관들이 전국에 매설되고 없다. 그러나 강관에 적용된 폴리에틸렌 피복이 경우에 따라 장기간 사용에 따른 자연균열등이 발생하여 피복의 안정성에 문제를 일으키기도 하므로, 그동안 전국에 매설되어있는 배관 피복재들의 물성변화 여부를 확인하여 천연가스수송용 배관의 내성 데이터베이스를 구축, 향후 배간운영의 신뢰성 평가에 참고하고자 하였다. 이를 위하여 선진외국에서 폴리에틸렌 배관의 내구성과 장기사용 안정성 평가를 위해 오래전부터 활용되고 있는 저속균열저항성(slow crack growth resistance : SCGR) 측정과 배관 피복층의 산화유도시간(OIT : oxidation induction time)을 측정하여 국내 배관 피복재들의 내구성을 평가하고 이를 근거로 하여 국내사용판정에 적합하고 수출도 고려한 폴리에틸렌 물성치의 목표값을 제안하였다.

• Journal of Korean Society of Coastal and Ocean Engineers
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• v.24 no.2
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• pp.138-148
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• 2012

A stochastic reliability analysis model has been developed for evaluating the time-dependent stability performance of armor units of rubble-mound breakwaters subjected to the multiple loads of arbitrary magnitudes which could be occurred randomly. The initial structural capacities and the damage rates of armor units of rubble-mound breakwaters could be estimated as a function of the incident wave height with a given return period by using the modified Hudson's formula and Melby's formula. The structural stability performances of armor units of rubble-mound breakwaters could be analyzed in detail through the lifetime reliability investigations according to the limit states such as the serviceability or ultimate limit state and the conditions of multiple loads. Finally, repair intervals for the structural management of armor units of rubble-mound breakwaters could quantitatively be evaluated by a new approach suggested in this paper that has been based on the target probability for repair and the accumulated probabilities of failure obtained from the present stochastic reliability analysis model.

• Journal of Industrial Technology
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• v.24 no.A
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• pp.215-226
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• 2004

A dynamic reliability model which can take into account the time history of loading sequences may be applied to the analyses of the hydraulic stability of armor units on rubble-mound breakwaters. All the parameters related to the stability of structures have been considered to be constants in the deterministic model until now. Thus, it is impossible to study the effects of some uncertainties of the related random variables on the stability of structures. In this paper, the dynamic reliability model can be developed by POT(Peak Over Threshold) method in order to take into account the time history of loading sequences and to investigate the temporal behaviors of stability of structure with its loading history. Finally, it is confirmed that the results of dynamic reliability model agree with straight- forwardly those of AFDA(Approximate Full Distribution Approach) of the static reliability model for the same input conditions. In addition, the temporal behaviors of probability of failure can be studied by the dynamic reliability model developed to analyze the hydraulic stability of armor units on rubble-mound breakwaters. Therefore, the present results may be useful for the management of repair and maintenance over the whole life cycle of structure.

• Proceedings of the Korean Nuclear Society Conference
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• 2002.10a
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• pp.302.2-302
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• 2002