Comparison between non-probabilistic interval analysis method and probabilistic approach in static response problem of structures with uncertain-but-bounded parameters

2004 ◽  
Vol 20 (4) ◽  
pp. 279-290 ◽  
Author(s):  
Zhiping Qiu ◽  
Yi Ma ◽  
Xiaojun Wang
Keyword(s):  
Interval Analysis ◽  
Probabilistic Approach ◽  
Analysis Method ◽  
Static Response ◽  
Interval Analysis Method

scholarly journals A novel interval analysis method to identify and reduce pure electric vehicle structure-borne noise

2020 ◽  
Vol 475 ◽  
pp. 115258 ◽  
Author(s):  
Hai B. Huang ◽  
Jiu H. Wu ◽  
Xiao R. Huang ◽  
Wei P. Ding ◽  
Ming L. Yang
Keyword(s):  
Electric Vehicle ◽  
Interval Analysis ◽  
Analysis Method ◽  
Interval Analysis Method ◽  
Vehicle Structure

INTERVAL AND SUBINTERVAL ANALYSIS METHODS OF THE STRUCTURAL ANALYSIS AND THEIR ERROR ESTIMATIONS

2006 ◽  
Vol 03 (02) ◽  
pp. 229-244 ◽  
Author(s):  
Y. T. ZHOU ◽  
C. JIANG ◽  
X. HAN
Keyword(s):  
Interval Analysis ◽  
Taylor Expansion ◽  
Truncation Error ◽  
Estimation Methods ◽  
Uncertain Parameters ◽  
Analysis Method ◽  
Interval Analysis Method ◽  
Analysis Methods ◽  
Second Derivatives ◽  
Error Estimations

In this paper, the interval analysis method is introduced to calculate the bounds of the structural displacement responses with small uncertain levels' parameters. This method is based on the first-order Taylor expansion and finite element method. The uncertain parameters are treated as the intervals, not necessary to know their probabilistic distributions. Through dividing the intervals of the uncertain parameters into several subintervals and applying the interval analysis to each subinterval combination, a subinterval analysis method is then suggested to deal with the structures with large uncertain levels' parameters. However, the second-order truncation error of the Taylor expansion and the linear approximation of the second derivatives with respect to the uncertain parameters, two error estimation methods are given to calculate the maximum errors of the interval analysis and subinterval analysis methods, respectively. A plane truss structure is investigated to demonstrate the efficiency of the presented method.

An Interval Analysis for the Mesco Ductile Fracture

2006 ◽  
Vol 324-325 ◽  
pp. 971-974 ◽  
Author(s):  
Chang Hong Liu ◽  
Hu Huang
Keyword(s):  
Confidence Interval ◽  
Ductile Fracture ◽  
Interval Analysis ◽  
Random Parameter ◽  
Interval Number ◽  
Experimental Results ◽  
Analysis Method ◽  
Fracture Characteristics ◽  
Interval Analysis Method

With the concepts of the confidence interval, a random parameter can be transformed into an interval number in the mesco ductile fracture. Hence analyses of the random isolated void model can be used in the interval analysis method. Based on the macro- and mesco-experimental results of four steels, 30CrMnSiA, 40CrNiMoA, No.45 and No.20, the probabilistic fracture characteristics of the four steels are given. Finally the interval isolated void models in the four steels are discussed.

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