scholarly journals Practical Monte Carlo Based Reliability Analysis and Design Methods for Geotechnical Problems

10.5772/15136 ◽  
2011 ◽  
Author(s):  
Jianye Ching
Keyword(s):  
Monte Carlo ◽  
Reliability Analysis ◽  
Design Methods ◽  
Analysis And Design ◽  
Geotechnical Problems

Reliability Analysis and Design Considering Disjointed Active Failure Regions

2015 ◽  
Author(s):  
Pingfeng Wang ◽  
Xiaolong Cui ◽  
Zequn Wang
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Reliability Analysis ◽  
Failure Modes ◽  
Kriging Model ◽  
Engineering Systems ◽  
Random Input ◽  
Performance Function ◽  
Analysis And Design ◽  
Practical Engineering

Failure of practical engineering systems could be induced by several correlated failure modes, and consequently reliability analysis are conducted with multiple disjointed failure regions in the system random input space. Problems with disjointed failure regions create a great challenge for existing reliability analysis approaches due to the discontinuity of the system performance function between these regions. This paper presents a new enhanced Monte Carlo simulation (EMCS) approach for reliability analysis and design considering disjointed failure regions. The ordinary Kriging method is adopted to construct surrogate model for the performance function so that Monte Carlo simulation (MCS) can be used to estimate the reliability. A maximum failure potential based sampling scheme is developed to iteratively search failure samples and update the Kriging model. Two case studies are used to demonstrate the efficacy of the proposed methodology.

Reliability Analysis and Design Considering Disjointed Active Failure Regions

2015 ◽  
Author(s):  
Pingfeng Wang ◽  
Xiaolong Cui
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Reliability Analysis ◽  
Failure Modes ◽  
Kriging Model ◽  
Engineering Systems ◽  
Random Input ◽  
Performance Function ◽  
Analysis And Design ◽  
Practical Engineering

Failure of practical engineering systems could be induced by several correlated failure modes, and consequently reliability analysis are conducted with multiple disjointed failure regions in the system random input space. Problems with disjointed failure regions create a great challenge for existing reliability analysis approaches due to the discontinuity of the system performance function between these regions. This paper presents a new enhanced Monte Carlo simulation (EMCS) approach for reliability analysis and design considering disjointed failure regions. The ordinary Kriging method is adopted to construct surrogate model for the performance function so that Monte Carlo simulation (MCS) can be used to estimate the reliability. A maximum failure potential based sampling scheme is developed to iteratively search failure samples and update the Kriging model. Two case studies are used to demonstrate the efficacy of the proposed methodology.

Probabilistic Feasibility Design of a Laser Powder Bed Fusion Process Using Integrated First-Order Reliability and Monte Carlo Methods

2021 ◽  
Vol 143 (9) ◽  
Author(s):  
Lingbin Meng ◽  
Xiaoping Du ◽  
Brandon McWilliams ◽  
Jing Zhang
Keyword(s):  
Monte Carlo ◽  
Reliability Analysis ◽  
Feasible Region ◽  
Powder Bed Fusion ◽  
Laser Powder Bed Fusion ◽  
Design Requirement ◽  
Powder Bed ◽  
Analysis And Design ◽  
First Order ◽  
Reliability Method

Abstract Quality inconsistency due to uncertainty hinders the extensive applications of a laser powder bed fusion (L-PBF) additive manufacturing process. To address this issue, this study proposes a new and efficient probabilistic method for the reliability analysis and design of the L-PBF process. The method determines a feasible region of the design space for given design requirements at specified reliability levels. If a design point falls into the feasible region, the design requirement will be satisfied with a probability higher or equal to the specified reliability. Since the problem involves the inverse reliability analysis that requires calling the direct reliability analysis repeatedly, directly using Monte Carlo simulation (MCS) is computationally intractable, especially for a high reliability requirement. In this work, a new algorithm is developed to combine MCS and the first-order reliability method (FORM). The algorithm finds the initial feasible region quickly by FORM and then updates it with higher accuracy by MCS. The method is applied to several case studies, where the normalized enthalpy criterion is used as a design requirement. The feasible regions of the normalized enthalpy criterion are obtained as contours with respect to the laser power and laser scan speed at different reliability levels, accounting for uncertainty in seven processing and material parameters. The results show that the proposed method dramatically alleviates the computational cost while maintaining high accuracy. This work provides a guidance for the process design with required reliability.

Reliability Analysis of Embankment Slope in Yaan-Luku Expressway

2011 ◽  
Vol 71-78 ◽  
pp. 1360-1365
Author(s):  
Jian Quan Ma ◽  
Guang Jie Li ◽  
Shi Bo Li ◽  
Pei Hua Xu
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Reliability Analysis ◽  
Failure Probability ◽  
Latin Hypercube Sampling ◽  
Natural State ◽  
State Function ◽  
Embankment Slope ◽  
The Times ◽  
Distribution Type

Take a typical cross-section of rockfill embankment slope in Yaan-Luku highway as the research object, reliability analysis is studied under the condition of water table of 840.85m, 851.50m, and loading condition of natural state and horizontal seismic acceleration of 0.2g, respectively. Raw data use Kolmogorov-Smirnov test (K-S test) to determine the distribution type of parametric variation. And the parameters were sampling with Latin hypercube sampling (LHS) method and Monte Carlo (MC) method, respectively, to obtain state function and determine safety factors and reliability indexes. A conclusion is drawn that the times of simulation based on LHS method were less than Monte Carlo method. Also the convergence of failure probability is better than the Monte Carlo method. The safety factor is greater than one and the failure probability has reached to 35.45% in condition of earthquake, which indicating that the instability of rockfill embankment slope is still possible.

Analysis and design methods of planar array antennas with slotted waveguides taking into account mutual coupling

1989 ◽  
Vol 72 (10) ◽  
pp. 103-110 ◽  
Author(s):  
Yoshihiko Konishi ◽  
Hitoshi Mizutamari ◽  
Shin-Ichi Sato ◽  
Seiji Mano ◽  
Takashi Katagi
Keyword(s):  
Mutual Coupling ◽  
Design Methods ◽  
Analysis And Design ◽  
Array Antennas ◽  
Planar Array
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