Hybrid reliability analysis for energy-absorbing composite structures based on evidence theory

2014 ◽  
Vol 33 (22) ◽  
pp. 2095-2105 ◽  
Author(s):  
Shuyong Duan ◽  
Xujing Yang ◽  
Yourui Tao ◽  
Zhangping Hu ◽  
Yunbiao Chen
Keyword(s):  
Reliability Analysis ◽  
Composite Structures ◽  
Epistemic Uncertainty ◽  
Evidence Theory ◽  
Analysis Model ◽  
Element Analysis ◽  
Explicit Finite Element ◽  
Hybrid Reliability ◽  
Energy Absorbing ◽  
Composite Energy

It is important to investigate the uncertain modeling and reliability analysis for the crashworthiness capacity of composite energy-absorbing structures (CEAS) in which there are random and epistemic uncertainty. A probability-evidence theory hybrid uncertainty model and a corresponding efficient reliability analysis method for the crashworthiness capacity of CEAS are presented in this paper. In this method, evidence theory is introduced to address the difficulties in the epistemic uncertain modeling due to the lack of experimental samples, which expand greatly the applicability of reliability analysis technology in the crashworthiness capacity of CEAS research. Moreover, the probability theory is applied to address the random uncertainty. Based on the traditional equivalence normalization method, a probability-evidence theory hybrid reliability analysis model for the crashworthiness capacity of CEAS is developed. An explicit finite element analysis is used to calculate the peak crushing force and the specific energy absorption of CEAS which are presented by the quadratic response surface. Two numerical examples of CEAS are presented for verification of the validity of the proposed method.

A Probabilistic and Interval Hybrid Reliability Analysis Method for Structures with Correlated Uncertain Parameters

2015 ◽  
Vol 12 (04) ◽  
pp. 1540006 ◽  
Author(s):  
C. Jiang ◽  
J. Zheng ◽  
B. Y. Ni ◽  
X. Han
Keyword(s):  
Reliability Analysis ◽  
Structural Reliability ◽  
Correlation Coefficients ◽  
Analysis Method ◽  
Analysis Model ◽  
Probability Interval ◽  
Uncertain Variables ◽  
Uncertainty Model ◽  
Sample Correlation ◽  
Hybrid Reliability

This paper proposes a probability-interval mixed uncertainty model considering parametric correlations and a corresponding structural reliability analysis method. First of all, we introduce the sample correlation coefficients to express the correlations between different kinds of uncertain variables including probability and interval variables. Then dependent parameters are transformed into independent ones through a matrix transformation. A reliability analysis model is put forward, and an efficient method is built to obtain the reliability index or failure probability interval of the structure. Finally, four numerical examples are provided to verify the validity of the method.

An Efficient Reliability Analysis Method for Structures With Epistemic Uncertainty Using Evidence Theory

2014 ◽  
Author(s):  
Zhe Zhang ◽  
Chao Jiang ◽  
G. Gary Wang ◽  
Xu Han
Keyword(s):  
Reliability Analysis ◽  
Structural Reliability ◽  
Epistemic Uncertainty ◽  
Limit State ◽  
Computational Cost ◽  
Evidence Theory ◽  
State Function ◽  
Limited Information ◽  
Design Point ◽  
Engineering Problems

Evidence theory has a strong ability to deal with the epistemic uncertainty, based on which the uncertain parameters existing in many complex engineering problems with limited information can be conveniently treated. However, the heavy computational cost caused by its discrete property severely influences the practicability of evidence theory, which has become a main difficulty in structural reliability analysis using evidence theory. This paper aims to develop an efficient method to evaluate the reliability for structures with evidence variables, and hence improves the applicability of evidence theory for engineering problems. A non-probabilistic reliability index approach is introduced to obtain a design point on the limit-state surface. An assistant area is then constructed through the obtained design point, based on which a small number of focal elements can be picked out for extreme analysis instead of using all the elements. The vertex method is used for extreme analysis to obtain the minimum and maximum values of the limit-state function over a focal element. A reliability interval composed of the belief measure and the plausibility measure is finally obtained for the structure. Two numerical examples are investigated to demonstrate the effectiveness of the proposed method.

Development of Software System of Crawler Crane Platform Fatigue Life Reliability Analysis

2011 ◽  
Vol 121-126 ◽  
pp. 3890-3894
Author(s):  
Jia Li ◽  
Feng Wu Lu ◽  
Fei Zhao ◽  
Xiu Qian Zhang
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Fatigue Life ◽  
Reliability Analysis ◽  
Parametric Design ◽  
Spare Parts ◽  
Software System ◽  
Analysis Model ◽  
Element Analysis ◽  
Crawler Crane

Platform is one of the most important load-carrying parts of crawler cranes, one software system of crawler crane platform fatigue life reliability analysis is developed in the paper. It is based on the finite element analysis model by applying parametric design language APDL Using ANSYS Transient analysis, the rain-flow counting method has been adopted to deal with stress spectrum by the mean of combining related spare parts material P-S-N curves and adopting Miner linearity fatigue accumulation damage theory. It is developed under Visual Basic6.0 and Access 2007 database, it include five function modules: parametric finite element modeling, finite element analysis, optimization and fatigue life reliability analysis, it has important value to improve the design of crawler cranes.

scholarly journals Random-interval hybrid reliability analysis for fan performance in the presence of epistemic uncertainty

2020 ◽  
Vol 50 (3) ◽  
pp. 299-311
Author(s):  
JiangHong YU ◽  
JiChu YANG ◽  
QiShui YAO ◽  
XiaoZhang QU ◽  
ShuangYan LÜ
Keyword(s):  
Reliability Analysis ◽  
Epistemic Uncertainty ◽  
Random Interval ◽  
Fan Performance ◽  
Hybrid Reliability

Energy Absorption of Additively Manufactured Porous Metals with Disordered Cells

2021 ◽  
Vol 1016 ◽  
pp. 183-187
Author(s):  
Koichi Kitazono ◽  
Shiyue Guo ◽  
Ke Zhu ◽  
Takuya Hamaguchi ◽  
Yuta Fujimori
Keyword(s):  
Cell Structure ◽  
Compression Tests ◽  
Porous Metals ◽  
Element Analysis ◽  
Explicit Finite Element ◽  
3D Cad ◽  
Cell Structures ◽  
Explicit Finite Element Analysis ◽  
Absorbing Materials ◽  
Energy Absorbing

Lightweight porous metals are focused on as energy absorbing materials for automobiles. Open-cell porous metals were manufactured through additive manufacturing process. Their cell structures were designed based on Voronoi diagrams using a commercial 3D-CAD software. Both ordered and disordered cell structures with the same porosities were successfully designed in this study. Compression tests and explicit finite element analysis revealed heterogeneous deformation behaviors in ordered porous metals. On the other hand, the porous metals with disordered cell structure showed relatively isotropic and uniform deformation, which is suitable as energy absorbing materials. Controlling the disordered cell structure designed by 3D-Voronoi diagram enables to develop the advanced porous metals having various mechanical properties.

Evidence Theory-Based Reliability Analysis and Optimization in Engineering Design

2007 ◽  
Author(s):  
Li Du ◽  
Liping He ◽  
Hong-Zhong Huang
Keyword(s):  
Reliability Analysis ◽  
Engineering Design ◽  
Epistemic Uncertainty ◽  
Evidence Theory ◽  
Theoretical Research ◽  
Future Research ◽  
Sufficient Information ◽  
Computationally Efficient ◽  
Input Uncertainty ◽  
Analysis And Design

Engineering design under uncertainty has gained considerable attention in recent years. There exist two different types of uncertainties in practical engineering applications: aleatory uncertainty that is classified as objective and irreducible uncertainty with sufficient information on input uncertainty data and epistemic uncertainty that is a subjective and reducible uncertainty that is caused by the lack of knowledge on input uncertainty data. Among several alternative tools to handle uncertainty, evidence theory has proved to be computationally efficient and stable tool for reliability analysis and design optimization under aleatory and/or epistemic uncertainty involved in engineering systems. This paper attempts to give a better understanding of uncertainty in engineering design with a general overview. The overview includes theoretical research, computational development, and performable ability consideration of evidence theory during recent years. At last, perspectives on future research are stated.

Head Injury in Facial Impact—A Finite Element Analysis of Helmet Chin Bar Performance

2000 ◽  
Vol 122 (6) ◽  
pp. 640-646 ◽  
Author(s):  
Chih-Han Chang ◽  
Li-Tung Chang ◽  
Guan-Liang Chang ◽  
Shyh-Chour Huang ◽  
Chiou-Hua Wang
Keyword(s):  
Finite Element ◽  
Head Injury ◽  
Head Injuries ◽  
Element Analysis ◽  
Maximum Acceleration ◽  
Explicit Finite Element ◽  
Motorcycle Helmet ◽  
Energy Absorbing ◽  
Protective Performance ◽  
The Impact

The chin bar of a motorcycle helmet protects the rider from facial and head injuries. To evaluate the protective performance of chin bars against head injuries from facial impacts, an explicit finite element method was used to simulate the Snell Memorial Foundation test and a proposed drop test. The maximum acceleration and Head Injury Criterion (HIC) were employed to assess the impact-absorbing capability of the chin bar. The results showed that the proposed approach should be more practical than the Snell test, and provided more information for improving the chin bar design to protect against head injuries. The shell stiffness was important in determining the protective ability of the chin bar, but a chin bar with only an outer shell and comfort foam offered inadequate protection. An energy-absorbing liner was essential to increase the protective performance of the chin bar and the liner density should be denser than that used in the cranial portion of the helmet. For the chin bar with energy-absorbing liner, a shell design that is less stiff would provide better protection. [S0148-0731(00)01206-1]

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