Instrumentation, Measurements, and Statistics
Instrumentation, Measurements, and Statistics M E 345
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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 29 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 2008 Professor John M Cimbala Today we will Do a review example problem experimental uncertainty analysis Review the pdf module Experimental Design Do some example problems experimental design Taguchi design arrays Example Experimental uncertainty analysis Given In uid mechanics class we learn that the change in pressure as you go down in a liquid hydrostatic pressure change is AP p gh where AP change in pressure Nm2 which is the same units as pascals Pa p density p 10000 kgm3 i 002 measured to 95 confidence g gravitational acceleration g 9807 ms2 a known constant h change in liquid depth h 345 i 003 m measured to 95 confidence To do Write AP at these values of p g and h in standard engineering format Solution Can Wx llmfv RPmuh quot y h Jaw mm C 5 1 3 M wquot quot vquotr a P5 0amp3 m o IOoQQoo flu lu 03 7 M MN 29 y139 A quotI MA 338311 29 25 21 fast 0 13 1 75 9 SS 3 imprinri Example Experimental design using Taguchi arrays Given Bryan uses a Taguchi design array with 3 l and 4 levels for each parameter choosing to test each level of each parameter twice The design array a valid Taguchi array M is shown here along with the experimental results of the test B l l l 165 To do Calculate level average 2 to three signi cant digits 2 1 2 1 71 Solution 3 2 K3 3 183 4 2 4 2 17 XL 1 my 15101 L83 5 3 1 2 179 7 4 3 1 1 75 a 8 4 4 168 X r M 1 l9J A cw Example Experimental design using Taguchi arrays 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 b To do Design a Taguchi array such that each level of each parameter appears twice Solution 1 M N Li L 9 Full b bfhl Neal qxz Q 1 1 put g Fun i J new Wu 13 0 9er ML anquot 0 1 aka X run Arc 2 339 a Evin A 1 44 3 3 1 L mu WW 1 A Rom meucm AMM quot N04 hm w e uh Oonhu y u WQUMM39A39 66uaquot WL wc aven39