scholarly journals A Fuzzy Finite Element Method Programmed in MATLAB for the Analysis of Uncertain Control Systems of Structures

10.5772/22277 ◽  
2011 ◽  
Author(s):  
Angel L. ◽  
Jem A. ◽  
Neil D.
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Control Systems ◽  
Fuzzy Finite Element ◽  
Element Method

scholarly journals Evaluate the Impact of Cold Wave on Face Slab Cracking Using Fuzzy Finite Element Method

2013 ◽  
Vol 2013 ◽  
pp. 1-11 ◽  
Author(s):  
Dongjian Zheng ◽  
Lin Cheng ◽  
Yanxin Xu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Temperature Drop ◽  
Extension Principle ◽  
Cold Wave ◽  
Prevention Measures ◽  
Fuzzy Variables ◽  
Fuzzy Finite Element ◽  
The Impact ◽  
Element Method

We use fuzzy finite element method (FEM) to analyze the impact of cold wave on face slab cracking of a concrete-faced rockfill dam (CFRD). The static response of dam and the temperature field of face slab are calculated using deterministic FEM since some observed and test data can be obtained. Some parameters of Goodman contact element between face slabs and cushion material are selected as fuzzy variables, and the fuzzy FEM is used to calculate fuzzy stress of face slab. The fuzzy FEM is implemented using vertex method based on the extension principle. Through the analysis of two selected calculation cases of cold wave, it is shown that the calculated cracking direction and cracking zone caused by thermal stress are similar to those of the observed cracks. This proves that the cold wave that caused swift air temperature drop is an important reason for the cracking of face slab. According to these analysis results, some cracking prevention measures are then proposed.

Structural Reliability Analysis Using Fuzzy Finite Element Method

2013 ◽  
Vol 471 ◽  
pp. 306-312 ◽  
Author(s):  
A.Y.N. Yusmye ◽  
B.Y. Goh ◽  
A.K. Ariffin
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Reliability Analysis ◽  
Structural Reliability ◽  
Classical Method ◽  
Practical Method ◽  
Main Role ◽  
Structural Reliability Analysis ◽  
Fuzzy Finite Element ◽  
Element Method

The main requirement in designing a structure is to ensure the structure is reliable enough to withstand loading and the reliability study of structure. Classical and probability approach was introduced to analyse structural reliability. However, the approaches stated above are unable to take into account and counter the uncertainties arising from the natural of geometry, material properties and loading. This leads to the reduction in accuracy of the result. The goal of this study is to assess and determine the reliability of structures by taking into consideration of the epistemic uncertainties involved. Since it is crucial to develop an effective approach to model the epistemic uncertainties, the fuzzy set theory is proposed to deal with this problem. The fuzzy finite element method (FFEM) reliability analysis conducted has shown this method produces more conservative results compared to the deterministic and classical method espacially when dealing with problems which have uncertainties in input parameters. In conclusion, fuzzy reliability analysis is a more suitable and practical method when dealing with structural reliability with epistemic uncertainties in structural reliability analysis and FFEM plays a main role in determining the structural reliability in reality.

Uncertain Static and Dynamic Analysis of Imprecisely Defined Structural Systems

2014 ◽  
pp. 357-382
Author(s):  
S. Chakraverty ◽  
Diptiranjan Behera
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Dynamic Analysis ◽  
Fuzzy System ◽  
Eigenvalue Problems ◽  
Linear Equations ◽  
System Of Linear Equations ◽  
Static And Dynamic Analysis ◽  
Fuzzy Finite Element ◽  
Element Method

This chapter presents the static and dynamic analysis of structures with uncertain parameters using fuzzy finite element method. Uncertainties presents in the parameters are modelled through convex normalised fuzzy sets. Fuzzy finite element method converts the structures into fuzzy system of linear equations and fuzzy eigenvalue problem for static and dynamic problems respectively. As such method to solve fuzzy system of linear equations, fully fuzzy system of linear equations and fuzzy eigenvalue problems are presented. These methods are applied to various structural problems to find out the fuzzy static and dynamic responses of the structures. Also the chapter analyses the numerical solution of uncertain fractionally damped spring-mass system. Uncertainties considered in the initial condition of the system.

A dual-layer dimension-wise fuzzy finite element method for structural analysis with epistemic uncertainties

2019 ◽  
Vol 367 ◽  
pp. 68-81 ◽  
Author(s):  
Menghui Xu ◽  
Jianke Du ◽  
Chong Wang ◽  
Yunlong Li ◽  
Lei Wang ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Structural Analysis ◽  
Fuzzy Finite Element ◽  
Element Method
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