scholarly journals Probabilistic Approach to System Reliability of Mechanism with Correlated Failure Models

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Xianzhen Huang ◽  
Yimin Zhang
Keyword(s):  
Reliability Analysis ◽  
System Reliability ◽  
Failure Modes ◽  
Limit State ◽  
Probabilistic Approach ◽  
Upper And Lower Bounds ◽  
State Function ◽  
System Reliability Analysis ◽  
Kinematic Performance ◽  
Planar Linkages

In this paper, based on the kinematic accuracy theory and matrix-based system reliability analysis method, a practical method for system reliability analysis of the kinematic performance of planar linkages with correlated failure modes is proposed. The Taylor series expansion is utilized to derive a general expression of the kinematic performance errors caused by random variables. A proper limit state function (performance function) for reliability analysis of the kinematic performance of planar linkages is established. Through the reliability theory and the linear programming method the upper and lower bounds of the system reliability of planar linkages are provided. In the course of system reliability analysis, the correlation of different failure modes is considered. Finally, the practicality, efficiency, and accuracy of the proposed method are shown by a numerical example.

System Reliability Analysis for Planar Mechanisms Using the Matrix Method

2012 ◽  
Vol 452-453 ◽  
pp. 1190-1194
Author(s):  
Xian Zhen Huang ◽  
Yi Min Zhang
Keyword(s):  
Reliability Analysis ◽  
System Reliability ◽  
Failure Modes ◽  
Limit State ◽  
Taylor Series Expansion ◽  
Upper And Lower Bounds ◽  
State Function ◽  
Planar Mechanisms ◽  
Kinematic Performance ◽  
Planar Linkages

In this paper, a practical technique for system reliability evaluation of kinematic performance of planar linkages with correlated failure modes is proposed. Taylor series expansion is utilized to derive a general expression of the kinematic performance errors caused by random design variables. A practical limit state function for reliability analysis of the kinematic performance of planar linkages corresponding to different failure models is established. Through the reliability theory and the linear programming method the upper and lower bounds of the system reliability of planar mechanisms are provided.

scholarly journals Analysis of Basic Failure Scenarios of a Truss Tower in a Probabilistic Approach

2019 ◽  
Vol 9 (13) ◽  
pp. 2662 ◽  
Author(s):  
Wojciech Mochocki ◽  
Urszula Radoń
Keyword(s):  
Standard Deviation ◽  
Reliability Analysis ◽  
System Reliability ◽  
Probabilistic Approach ◽  
Random Variable ◽  
Structure Reliability ◽  
System Reliability Analysis ◽  
Steel Truss ◽  
Buckling Coefficient ◽  
The Impact

This paper concerns the system reliability analysis of steel truss towers. Due to failures of towers, the assessment of their reliability seems to be a very important problem. In the analysis, two cases are examined: when the buckling coefficient is a deterministic value and when it is a random variable. The impact of failures of single elements on the structure reliability was investigated. Calculations of the standard deviation of the capacity and reliability indexes were made using author-developed programs in the Mathematica environment.

A Novel Time-Variant Reliability Analysis Method Based on Failure Processes Decomposition for Dynamic Uncertain Structures

2018 ◽  
Vol 140 (5) ◽  
Author(s):  
Shui Yu ◽  
Zhonglai Wang
Keyword(s):  
Reliability Analysis ◽  
System Reliability ◽  
Dynamic Properties ◽  
Limit State ◽  
Quadratic Function ◽  
State Function ◽  
Analysis Method ◽  
Engineering Structures ◽  
Reliability Problem ◽  
Time Invariant

Abstract Due to the uncertainties and the dynamic parameters from design, manufacturing, and working conditions, many engineering structures usually show uncertain and dynamic properties. This paper proposes a novel time-variant reliability analysis method using failure processes decomposition to transform the time-variant reliability problems to the time-invariant problems for dynamic structures under uncertainties. The transformation is achieved via a two-stage failure processes decomposition. First, the limit state function with high dimensional input variables and high order temporal parameters is transformed to a quadratic function of time based on the optimized time point in the first-stage failure processes decomposition. Second, based on the characteristics of the quadratic function and reliability criterion, the time-variant reliability problem is then transformed to a time-invariant system reliability problem in the second-stage failure processes decomposition. Then, the kernel density estimation (KDE) method is finally employed for the system reliability evaluation. Several examples are used to verify the effectiveness of the proposed method to demonstrate its efficiency and accuracy.

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