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  • 1
    Electronic Resource
    Electronic Resource
    Fuzzy eigensolutions of mechanical structures (2004)
    Bradford : Emerald
    Engineering computations 21 (2004), S. 66-77 
    Details
    ISSN: 0264-4401
    Source: Emerald Fulltext Archive Database 1994-2005
    Topics: Technology
    Notes: This paper presents an efficient methodology to calculate fuzzy eigenvalues and eigenvectors of finite element structures defined by imprecise parameters. The material and geometric parameters are then described by fuzzy numbers. The proposed methodology, based on a-cut discretization of fuzzy numbers and Taylor's expansion, determines the extreme eigensolutions for each a-cut. The study of a finite element model and the comparison of results with a combinatorial approach, based on Zadeh's extension principle, show the efficiency of this methodology.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1108/02644400410511846
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    On evaluating structures' sensitivities to prescribed displacement uncertainties using fuzzy numbers (1997)
    Bradford : Emerald
    Engineering computations 14 (1997), S. 529-541 
    Details
    ISSN: 0264-4401
    Source: Emerald Fulltext Archive Database 1994-2005
    Topics: Technology
    Notes: Considers the problem of structures' sensitivities to prescribed displacements uncertainties through the use of fuzzy numbers. Important properties of fuzzy subsets have been studied and used to model uncertainties, and to solve the fuzzy linear system resulting from taking into account the uncertainties on prescribed displacements. Develops a computer program to allow comparisons between several structural designs checking common specifications. Demonstrates the effectiveness of the present method for a cantilever structure modelled in the case of a static finite element analysis.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1108/02644409710170357
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Neumann expansion for fuzzy finite element analysis (1999)
    Bradford : Emerald
    Engineering computations 16 (1999), S. 572-583 
    Details
    ISSN: 0264-4401
    Source: Emerald Fulltext Archive Database 1994-2005
    Topics: Technology
    Notes: This paper presents a new framework to predict a structure's effective properties and sensitivities to multiple simultaneous uncertain endogenous parameters. The methodology is based on the use of fuzzy sets and this paper extends the fuzzy set theory to a dynamic finite element analysis of engineering systems containing uncertainty on material properties. A general algorithm, which can resolve the uncertain eigenvalue problem by using a Neumann expansion, is studied. This algorithm is applied to the study of the modal behavior of structures presenting uncertain material properties. Finally, the entropy and the specificity of fuzzy responses lead to the identification of a plate structure's most sensitive eigenvalue to uncertain sources.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1108/02644409910277933
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    Paper (German National Licenses)
    Fulltext
  • 4
    Electronic Resource
    Electronic Resource
    On a direct inversion of the impedance matrix in response reanalysis (1996)
    Chichester : Wiley-Blackwell
    Communications in Numerical Methods in Engineering 12 (1996), S. 151-159 
    Details
    ISSN: 1069-8299
    Keywords: response reanalysis ; structural modifications ; matrix partitioning ; Sherman-Morrison formula ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: The paper lays out an exact method, using the receptance strategy, to calculate the frequency response of a modified structure. A direct inversion of the modified impedance matrix is proposed, which reduces the computation time for successive calculations of an evolving design of the structure.
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
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    Paper (German National Licenses)
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