Probabilistic Risk Evaluation for Overall Stability of Composite Caisson Breakwaters in Korea

2020 ◽  
Vol 8 (3) ◽  
pp. 148
Author(s):  
Nhu Son Doan ◽  
Jungwon Huh ◽  
Van Ha Mac ◽  
Dongwook Kim ◽  
Kiseok Kwak

In the present study, the overall stability of typical Korean composite caisson breakwaters that were initially designed following the conventional deterministic approach is investigated using reliability approaches. Therefore, the sensitivity of critical uncertainties regarding breakwater safety is analyzed. Uncertainty sources related to the structure, ocean conditions, and properties of the subsoil and rubble mound are considered in the reliability analysis. Sliding and overturning failures are presented as explicit equations, and three reliability methods, i.e., the mean value first-order second-moment, first-order reliability method, and Monte Carlo simulation, are applied in the evaluation process. Furthermore, the bearing capacity of the rubble mound and subsoil are analyzed using the discrete slice method conjugated with the Monte Carlo simulation. The results of this study establish that the sliding failure generally is the most frequent failure occurring among the above-mentioned overall stability failures (around 15 times more common than failures observed in the foundation). Additionally, it is found that the horizontal wave force primarily contributes to the sliding of the caisson body, whereas the friction coefficient is the main factor producing the resistance force. Furthermore, a much small probability of overturning failure implies that the overturning of a caisson around its heels uncommonly occurs during their lifetime, unlike other overall failure modes. Moreover, the failure in foundations may commonly encounter in the breakwater that has a high rubble mound structure compared with sliding mode. Particularly, the performance function of the all foundation bearing capacities presents a nonlinear behavior and positively skewed distribution when using the Monte Carlo simulation method. This phenomenon proves that simulation methods might be an appropriate approach to evaluate the bearing capacity of a breakwater foundation that can overcome several drawbacks of the conventional design approach.

2006 ◽  
Vol 326-328 ◽  
pp. 597-600 ◽  
Author(s):  
Ouk Sub Lee ◽  
Dong Hyeok Kim

In this paper, the failure probability is estimated by using the FORM (first order reliability method), the SORM (second order reliability method) and the Monte Carlo simulation to evaluate the reliability of the corroded pipeline. It is found that the FORM technique is more effective in estimating the failure probability than the SORM technique for B31G and MB31G models with three different corrosion models. Furthermore, it is noted that the difference between the results of the FORM, the SORM and the Monte Carlo simulation decreases with the increase of the exposure time.


Author(s):  
Nataraj Parameswaran ◽  
Lidvin Kjerengtroen

Abstract Traditionally, most engineering problems are modeled in such a manner that all the variables involved in the design equations are deterministic. By nature, however, seldom does such a phenomenon exist. Most of the variables involved are randomly distributed with a certain mean and standard deviation and follow a certain type of statistical distribution. This investigation compares two such statistical based design processes to evaluate failure probabilities of a one dimensional heat transfer problem with various statistically distributed parameters in its performance function. The methods developed are the Monte Carlo simulation and First Order Reliability Method (FORM). Comparison is made between the Monte Carlo simulation and FORM based upon the investigated problem and the relative advantages and disadvantages of both methods are noted at the end of the investigation. The investigation demonstrates that FORM can be used effectively to determine failure probabilities and sensitivity factors in a manner better than Monte Carlo simulation.


Author(s):  
Ulrik D. Nielsen ◽  
Jo̸rgen J. Jensen

The paper elaborates on the probabilistic assessment of a simplified model for the rolling of a ship in a stochastic seaway. The model can be easily integrated with a probabilistic tool which enables evaluations of numerical simulations by the first order reliability method (FORM) and by Monte Carlo simulation (MCS). Results are presented for synchronous roll as well as parametric roll, where e.g. mean outcrossing rates have been calculated. FORM offers an efficient approach for the computations, although the approach should be applied with care in cases of parametric roll. The paper also touches on issues such as ergodicity and transient versus stationary stages in the roll realisations.


2021 ◽  
pp. 391-402
Author(s):  
Saurav Shekhar Kar ◽  
Avijit Burman ◽  
Lal Bahadur Roy

In geotechnical engineering uncertainties arises from loads, soil characteristics and their properties, calculation models etc. To minimize these uncertainties in geotechnical problem, various reliability based and (or probabilistic based) approaches have been developed. This abstract presents a MS-Excel spreadsheet environment based practical framework for estimating the reliability index and failure probability of a cohesive finite slope using First-order second moment method, First-order reliability method and Monte Carlo Simulation. The height and the angle of slope is considered to be 5 m and 45º respectively. The inclination of the slope is 2H:1V and the hard stratum is assumed to be present at 15 m below the soil. The values of saturated unit weight and undrained shear strength are assumed to be 18 kN/m3 and 20 kPa respectively. The stability analysis is carried out using Swedish slice method under undrained condition. The excel spreadsheet developed in the study is mainly divided into two forms i.e. deterministic model worksheet for calculating the factor of safety and uncertainty model for generating the random variables of uncertain parameters. The undrained shear strength is considered as an uncertain parameter. The nominal factor of safety value is found out to be 1.248 and the critical slip circle has coordinate (2.6, 8.8), having radius of 16 m. The reliability index is found out using FOSM, FORM and MCS.


2017 ◽  
Author(s):  
Eric J Buenz

Natural product libraries are important tools for drug discovery. However, until now, there has not been a system to allow projections of the potential number of hits from creating these libraries. The objective of this study was to develop a stochastic model system that predicts the number of hits from creating a natural product library. A Monte Carlo simulation was developed with data from the peer-reviewed literature. Using types of endemic New Zealand terrestrial flora as examples, the number of antibacterial hits expected from creating natural product libraries were calculated. The model predicts the following bounds for the 90% range of validated antibiotic leads for the categories of the terrestrial endemic flora of New Zealand with a right skewed distribution: [grasses: 1.43-6.50; liverworts: 2.75-12.5; fungi: 45.2-207; mosses: 0.98-4.48; vascular plants: 21.4-97.8]. Furthermore, per full-time equivalent (FTE) person employed on the project, a mean of 1.31 hits (90% range 0.48-2.42) is expected. This model system allows the number of expected hits to be calculated when developing a natural product library for a therapeutic target. There is an opportunity to create a natural product library from New Zealand endemic terrestrial flora. This model is scalable to other geographic areas as well as to other therapeutic targets and screening systems.


2017 ◽  
Vol 08 (10) ◽  
pp. 1231-1250 ◽  
Author(s):  
Nadarajah Ravichandran ◽  
Vahidreza Mahmoudabadi ◽  
Shweta Shrestha

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