Fuzzy finite element method for vibration analysis of imprecisely defined bar
نویسنده
چکیده
This paper investigates the vibration of a bar for computing its frequency parameter with interval and fuzzy material properties using fuzzy finite element method. First crisp values of material properties are considered. Then the problem has been undertaken taking the properties as interval and fuzzy. Initially, Young’s modulus and density as material properties have been considered as interval in two different cases, one for homogenous and other for non-homogenous material properties. Then the problem has been analyzed using Young’s modulus and density properties as fuzzy. The finite element method with fuzzy material properties (in term of fuzzy number that is triangular and trapezoidal fuzzy number) is solved using -cut to obtain corresponding intervals. Using interval computation frequency parameters are obtained and the fuzzy results are depicted in term of plots.
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