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# Instrumentation, Measurements, and Statistics M E 345

Penn State

GPA 3.79

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This 0 page Class Notes was uploaded by Chester Goldner III on Sunday November 1, 2015. The Class Notes belongs to M E 345 at Pennsylvania State University taught by John Cimbala in Fall. Since its upload, it has received 20 views. For similar materials see /class/233070/m-e-345-pennsylvania-state-university in Mechanical Engineering at Pennsylvania State University.

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Date Created: 11/01/15

ME345 Fall 2009 Professor John M Cimbala Today we will Do a review example problem Experimental design and Taguchi arrays Review the pdf module Taguchi Orthogonal Arrays Review the pdf module Response Surface Methodology RSM Do some example problems RSM Example Continued from last time we had time to do only parts a and b Given A toy gun that shoots Nerf bullets is being designed The engineers want to maximize the distance traveled by the bullet Three parameters are to be varied a spring constant b weight of the bullet c diameter of the bullet The engineers decide to test 4 levels for each of these 3 parameters a To do Calculate how many runs are required for a fullfactorial analysis Solution N LP 43 b To do Design a Taguchi array such that each level of each parameter appears twice Solution We need 8 runs since we have four levels and we want each level of each parameter to appear twice thus N 4 x 2 for a fractional factorial design array We came up with the following Taguchi design array Nina L1 C7 1 3 mu9 Ci39 3 0739 39 2 3250104011 AilMY bAUJLANNt It n bt ILANNUJbt n l 2 3 4 5 6 7 8 MGR HI 39 twinl Togmkquot Am Jmu f39 Noah nvf JC Vi r A lww km 39 Quota m J ML 0de Am in MM 1 o Mm 39L Mn 7 No vm Imng mfw ts Now u u g a Q oc nwand amle 41 uld my W 0quot Le a JBIA c To do Now that the Taguchi design array is setup experiments are performed with the following results Calculate the and determine which levels are optimum l 2 X A 5 41 1z 8 x53 quot 64 9 z 7 A 6 1 Solution we Md 2 9 am 5 E460 I hm ow V Lem IM quot r M x QAQVW AN M Q 3039 oe mm M F PWWW No LoMF F49 lJ 4561mm haze Tm I Cw 7 1 Z l Recommend followup experiments if only two parameters can be tested Solution Tel Uyqf a Syng WJM3 4 ch L mm M 3 WM 39T39Jl39 Sm r lt Mom NT Jun 0 m Kw smug 662d M X W 4quot Mr 4X c S 514 My a i h avc mm i39hm ME345 Fall 2009 Professor John M Cimbala Today we will Do a review example problem Experimental design and Taguchi arrays Review the pdf module Taguchi Orthogonal Arrays Review the pdf module Response Surface Methodology RSM Do some example problems RSM Example Continued from last time we had time to do only parts a and b Given A toy gun that shoots Nerf bullets is being designed The engineers want to maximize the distance traveled by the bullet Three parameters are to be varied a spring constant b weight of the bullet c diameter of the bullet The engineers decide to test 4 levels for each of these 3 parameters a To do Calculate how many runs are required for a fullfactorial analysis Solution N LP 43 b To do Design a Taguchi array such that each level of each parameter appears twice Solution We need 8 runs since we have four levels and we want each level of each parameter to appear twice thus N 4 x 2 for a fractional factorial design array We came up with the following Taguchi design array Nina L1 C7 1 3 mu9 Ci39 3 0739 39 2 3250104011 AilMY bAUJLANNt It n bt ILANNUJbt n l 2 3 4 5 6 7 8 MGR HI 39 twinl Togmkquot Am Jmu f39 Noah nvf JC Vi r A lww km 39 Quota m J ML 0de Am in MM 1 o Mm 39L Mn 7 No vm Imng mfw ts Now u u g a Q oc nwand amle 41 uld my W 0quot Le a JBIA c To do Now that the Taguchi design array is setup experiments are performed with the following results Calculate the and determine which levels are optimum l 2 X A 5 41 1z 8 x53 quot 64 9 z 7 A 6 1 Solution we Md 2 9 am 5 E460 I hm ow V Lem IM quot r M x QAQVW AN M Q 3039 oe mm M F PWWW No LoMF F49 lJ 4561mm haze Tm I Cw 7 1 Z l Recommend followup experiments if only two parameters can be tested Solution Tel Uyqf a Syng WJM3 4 ch L mm M 3 WM 39T39Jl39 Sm r lt Mom NT Jun 0 m Kw smug 662d M X W 4quot Mr 4X c S 514 My a i h avc mm i39hm

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