Generalized Riser Design by Parametric Fuzzy Geometric Programming
نویسندگان
چکیده
The optimal design of risers for castings has been the subject of numerous investigations and this paper determines the optimal dimensions when Chvorinov’s rule for solidification is obeyed by both the riser and casting and solidification time is the only constraint involved .This problem can be formulated to minimize the riser volume subject to the constraint that the riser solidification time is greater than or equal to the casting solidification time. The problem is solved using the Fuzzy geometric programming technique and generalized expressions were obtained for HR , DR and VR . These expressions were applied to a cylindrical top riser, cylindrical side riser, hemispherical riser and modified hemispherical riser.
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