A Newton iteration‐based interval analysis method for nonlinear structural systems with uncertain‐but‐bounded parameters

2021 ◽  
Author(s):  
Zhiping Qiu ◽  
Bo Zhu
Keyword(s):  
Interval Analysis ◽  
Newton Iteration ◽  
Structural Systems ◽  
Analysis Method ◽  
Interval Analysis Method ◽  
Nonlinear Structural

Interval Analysis Method of Uncertain Structural Systems Based on Random Model

2011 ◽  
Vol 291-294 ◽  
pp. 3180-3185
Author(s):  
Zhao Wang ◽  
Min Huang
Keyword(s):  
Confidence Interval ◽  
Interval Analysis ◽  
Structural Response ◽  
Random Model ◽  
Structural Systems ◽  
Analysis Method ◽  
The Finite Element Method ◽  
Analysis And Design ◽  
Interval Analysis Method ◽  
Interval Variables

The uncertain parameters of the structures are expressed by interval variables, and the governed equations of the structural system are obtained with the finite element method, then interval analysis is used to model the uncertainty in the static structural analysis and design. After the interval arithmetic integrated with random theory is studied, the confidence interval of structural response is achieved, and the approximate calculation is used with the method of Monte Carlo. Furthermore, by combining the interval variable of the structural response with confidence interval, an analysis method of uncertain structural systems is proposed based on the random model. The presented method can restrain expanding interval, and easy to engineering due to its convenient calculation.

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.

A Robust Aerodynamic Optimization Design for Airfoil Based on Interval Uncertainty Analysis Method

2019 ◽  
Author(s):  
Xin Song ◽  
Guannan Zheng ◽  
Guowei Yang
Keyword(s):  
Robust Optimization ◽  
Interval Analysis ◽  
Optimization Design ◽  
Aerodynamic Force ◽  
Interval Uncertainty ◽  
Upper And Lower Bounds ◽  
Analysis Method ◽  
Geometric Uncertainties ◽  
Interval Analysis Method ◽  
Robust Optimization Design

Abstract Uncertainties will make aircraft deviate from the designed condition, resulting in the decrease in aerodynamic performance and even destruction. This paper presents a fast nonlinear interval analysis method considering geometric uncertainties. DFFD method is used to parameterize the airfoil shape, and the Kriging model for aerodynamic force and uncertainty variables is optimized by PSO algorithm to find the upper and lower bounds of the objective interval. The effects of geometric uncertainties on NACA0012 airfoil are analyzed using the above method. And then, a robust optimization design method is established based on the interval analysis method. FFD method is used to produce the deterministic design variables and the order relation of interval number is employed to transform the uncertain optimization to deterministic multi-objective optimization which is solved by MOPSO based on Pareto entropy. The robust optimization design is implemented for the symmetrical airfoil with the drag objective under geometric uncertainties and thickness constraint, and the results are compared with the deterministic optimization to validate the effectiveness of the developed method.

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