### Abstract

Traditional finite element approaches require crisp or well defined input parameters. For instance, given the geometry, material properties, load and boundary conditions as deterministic values, a crisp result can be calculated on an element by element basis. The objective of this work is to consider analytical problems where the information available is incomplete, uncertain, or involves user preferences. A current method that can handle certain types of uncertainty is stochastic analysis, in which some or all of the input parameters are described by probability distributions. When combined with the finite element procedure, complex mechanical problems with random inputs can be solved for the stochastic response. However, the method does not cover the areas of incomplete information, or the area of including more information, such as user preferences. For this reason, fuzzy mathematics and the finite element procedure are combined in this work. Fuzzy theory describes means by which incomplete or subjective information can be represented in analytical form. A methodology for fuzzy finite element analysis is described, and comparisons to the stochastic procedure are made where applicable. Results for bars, beams, plates, and thermal problems are discussed.

Original language | English (US) |
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Title of host publication | Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference |

Publisher | AIAA |

Pages | 80-88 |

Number of pages | 9 |

Volume | 3 |

State | Published - 2000 |

Event | 41st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference and ExhibitAIAA/ASME/AHS Adaptive Structures ForumAIAA Non-Deterministic Approaches ForumAIAA Space Iflatables Forum - Atlanta, GA, USA Duration: Apr 3 2000 → Apr 6 2000 |

### Other

Other | 41st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference and ExhibitAIAA/ASME/AHS Adaptive Structures ForumAIAA Non-Deterministic Approaches ForumAIAA Space Iflatables Forum |
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City | Atlanta, GA, USA |

Period | 4/3/00 → 4/6/00 |

### Fingerprint

### ASJC Scopus subject areas

- Architecture

### Cite this

*Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference*(Vol. 3, pp. 80-88). AIAA.

**Modeling and analysis of fuzzy systems using finite element method.** / Rao, Singiresu S; Weintraub, P. N.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference.*vol. 3, AIAA, pp. 80-88, 41st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference and ExhibitAIAA/ASME/AHS Adaptive Structures ForumAIAA Non-Deterministic Approaches ForumAIAA Space Iflatables Forum, Atlanta, GA, USA, 4/3/00.

}

TY - GEN

T1 - Modeling and analysis of fuzzy systems using finite element method

AU - Rao, Singiresu S

AU - Weintraub, P. N.

PY - 2000

Y1 - 2000

N2 - Traditional finite element approaches require crisp or well defined input parameters. For instance, given the geometry, material properties, load and boundary conditions as deterministic values, a crisp result can be calculated on an element by element basis. The objective of this work is to consider analytical problems where the information available is incomplete, uncertain, or involves user preferences. A current method that can handle certain types of uncertainty is stochastic analysis, in which some or all of the input parameters are described by probability distributions. When combined with the finite element procedure, complex mechanical problems with random inputs can be solved for the stochastic response. However, the method does not cover the areas of incomplete information, or the area of including more information, such as user preferences. For this reason, fuzzy mathematics and the finite element procedure are combined in this work. Fuzzy theory describes means by which incomplete or subjective information can be represented in analytical form. A methodology for fuzzy finite element analysis is described, and comparisons to the stochastic procedure are made where applicable. Results for bars, beams, plates, and thermal problems are discussed.

AB - Traditional finite element approaches require crisp or well defined input parameters. For instance, given the geometry, material properties, load and boundary conditions as deterministic values, a crisp result can be calculated on an element by element basis. The objective of this work is to consider analytical problems where the information available is incomplete, uncertain, or involves user preferences. A current method that can handle certain types of uncertainty is stochastic analysis, in which some or all of the input parameters are described by probability distributions. When combined with the finite element procedure, complex mechanical problems with random inputs can be solved for the stochastic response. However, the method does not cover the areas of incomplete information, or the area of including more information, such as user preferences. For this reason, fuzzy mathematics and the finite element procedure are combined in this work. Fuzzy theory describes means by which incomplete or subjective information can be represented in analytical form. A methodology for fuzzy finite element analysis is described, and comparisons to the stochastic procedure are made where applicable. Results for bars, beams, plates, and thermal problems are discussed.

UR - http://www.scopus.com/inward/record.url?scp=0033665910&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033665910&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0033665910

VL - 3

SP - 80

EP - 88

BT - Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

PB - AIAA

ER -