Fuzzy behavior of mechanical systems with uncertain boundary conditions

Cherki, A.; Plessis, G.; Lallemand, Bertrand; Tison, Thierry; Level, P.

doi:10.1016/s0045-7825(99)00401-6

Cited by 43 publications

(17 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The fuzzy theory appears the most adopted theoretical framework in the field of the subjective information: in perfect analogy with the stochastic case, if the FE analysis deals with a structure whose parameters are fuzzy variables and/or if the spatial distribution of the uncertain variables is modelled by means of fuzzy functions, then it can be dubbed fuzzy FE analysis [12]. For example, FE-based static analyses in fuzzy environments are proposed in [13][14][15][16][17]. Massa et al [18] discussed a methodology to take into account non-probabilistic information for multi-objective optimization problems, by means of the fuzzy theory.…”

Section: Finite Element Methods Under Non-probabilistic Uncertaintiesmentioning

confidence: 99%

Finite element analysis with uncertain probabilities

Quaranta

2011

Computer Methods in Applied Mechanics and Engineering

View full text Add to dashboard Cite

Section: Finite Element Methods Under Non-probabilistic Uncertaintiesmentioning

confidence: 99%

Finite element analysis with uncertain probabilities

Quaranta

2011

Computer Methods in Applied Mechanics and Engineering

View full text Add to dashboard Cite

“…Also an important book is written by [15] in which applications of fuzzy arithmetic into engineering problems are described. Fuzzy behavior of mechanical systems with uncertain boundary conditions is investigated by [16]. Nonlinear membership function for fuzzy optimization of mechanical and structural systems is discussed in [17].…”

Section: Introductionmentioning

confidence: 99%

Fuzzy Finite Element based Solution of Uncertain Static Problems of Structural Mechanics

Behera¹,

Chakraverty²

2013

IJCA

View full text Add to dashboard Cite

Fuzzy finite element analysis for static displacements of beam structures with fuzzy forces is considered in this paper. The material properties of the beams are taken as crisp. Fuzzy finite element analysis of static problem for the above structures converts the problem into fuzzy system of linear equations. As such the coefficient matrix and the right hand side vector become crisp and fuzzy respectively. Here, a new method is proposed to solve the fuzzy system of linear equations. Numerical results for the beam structures are presented to illustrate the computational aspects of the developed method. The results obtained by the proposed method are compared with the existing solution method. KeywordsTriangular fuzzy number, Fuzzy system of linear equations, Fuzzy finite element method, Beam.

show abstract

“…Some researches on fuzziness have been done using fuzzy set as [5][6][7][8], which was put forward by Zadeh [9] in 1965. Rao and Cao [5] developed a fuzzy boundary element method for the analysis of imprecisely defined systems and solved the resulting fuzzy equations using a fuzzified version of Gaussian elimination procedure coupled with truncation.…”

Section: Introductionmentioning

confidence: 99%

“…Rao and Cao [5] developed a fuzzy boundary element method for the analysis of imprecisely defined systems and solved the resulting fuzzy equations using a fuzzified version of Gaussian elimination procedure coupled with truncation. Cherki and Plessis [6] presented the structural sensitivities to uncertain boundary conditions and discussed the effect of uncertain prescribed displacements on the static response of structures. Simo˜es [7] presented the two-phase method for fuzzy optimisation of structures by using the level cuts method and the crisp solution.…”

Section: Introductionmentioning

confidence: 99%