| FUZZY ARITHMETIC AND SOLVING OF THE STATIC GOVERNING EQUATIONS OF FUZZY FINITE ELEMENT METHOD |
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| 作者姓名： | 郭书祥 吕震宙 冯立富 |
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| 作者单位： | Faculty of Mechanics，Engineering Institute，Air Force University of Engineering，Xi'an 710038，P R China，Department of Aircraft Engineering，Northwest Polytechnical University，Xi'an 710072，P R China，Faculty of Mechanics，Engineering Institute，Air Force University of Engineering，Xi'an 710038，P R China |
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| 基金项目： | Foundation items:the National Natural Science Foundation of China(59575040,59575032)，the Areonautics Science Foundation of China(00B53010) |
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| 摘 要： | The key component of finite element analysis of structures with fuzzy parameters, which is associated with handling of some fuzzy information and arithmetic relation of fuzzy variables , was the solving of the governing equations of fuzzy finite element method. Based on a given interval representation of fuzzy numbers, some arithmetic rules of fuzzy numbers and fuzzy variables were developed in terms of the properties of interval arithmetic. According to the rules and by the theory of interval finite element method, procedures for solving the static governing equations of fuzzy finite element method of structures were presented. By the proposed procedure, the possibility distributions of responses of fuzzy structures can be generated in terms of the membership functions of the input fuzzy numbers. It is shown by a numerical example that the computational burden of the presented procedures is low and easy to implement. The effectiveness and usefulness of the presented procedures are also illustrated.
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| 收稿时间： | 18 October 2000 |
Fuzzy arithmetic and solving of the static governing equations of fuzzy finite element method |
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| Guo Shu-xiang Professor, Doctor,Lü Zhen-zhou,Feng Li-fu.FUZZY ARITHMETIC AND SOLVING OF THE STATIC GOVERNING EQUATIONS OF FUZZY FINITE ELEMENT METHOD[J].Applied Mathematics and Mechanics(English Edition),2002,23(9):1054-1061. |
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| Authors: | Guo Shu-xiang Professor Doctor Lü Zhen-zhou Feng Li-fu |
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| Institution: | 1. Faculty of Mechanics, Engineering Institute, Air Force University of Engineering, Xi'an,710038, P R China
2. Department of Aircraft Engineering, Northwest Polytechnical University, Xi'an,710072, P R China |
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| Abstract: | The key component of finite element analysis of structures with fuzzy parameters, which is associated with handling of some fuzzy information and arithmetic relation of fuzzy variables , was the solving of the governing equations of fuzzy finite element method. Based on a given interval representation of fuzzy numbers, some arithmetic rules of fuzzy numbers and fuzzy variables were developed in terms of the properties of interval arithmetic. According to the rules and by the theory of interval finite element method, procedures for solving the static governing equations of fuzzy finite element method of structures were presented. By the proposed procedure, the possibility distributions of responses of fuzzy structures can be generated in terms of the membership functions of the input fuzzy numbers. It is shown by a numerical example that the computational burden of the presented procedures is low and easy to implement. The effectiveness and usefulness of the presented procedures are also illustrated. |
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| Keywords: | fuzzy variable fuzzy arithmetic fuzzy finite element method interval finite element method |
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