|
...if you don't have Minitab 15 on
your PC ...
Double click on the file
Run_Without_MTB.BAT to run this demo without Minitab installed
(Excel required)
Operative Examples in
this demo
 Simulation
with Design of Experiments
This simulation is based on an example available on
the site:
http://www.decisioneering.com.
The case concerns an injection molding process in which three inputs or factors
are involved (Mold Temperature, Cycle Time and Hold Pressure), that jointly
contribute to determine the output variability (the variable Length).
The transfer function used in the original example has been produced using an
Excel multiple regression model, whose coefficients are the solution of a
factorial design, but in this simulation, an analogous function will be used, obtained
from a DOE realized with one of the common statistic softwares, to be also able
to use correctly the contribution of the experimental error.
R= f(A,B,..) 10.1625 +.27625*A +.176875*B +.08275*C+D -.0010625*A*B
+.0004125*B*C -.0000025*A*B*C
 Tolerance Analysis
This
simulation is based on 'Tolerance Analysis' example available on the site:
http://www.decisioneering.com.
An engineer at an automobile design center needs to specify components for
piston and cylinder assemblies that work well together. To do this, he must
perform an optimal stack tolerance analysis, where he calculates the dimensions
of the components to be within certain tolerance limits. Given the variability
in the statistical dimensions of seven separate parts, the engineer must choose
optimal tolerance levels that meet the assembly gap design criteria...
R= f(A,B,..) (F+G)-(A+B+C+D+E)
 Piston
Displacement
This simulation is based on 'Piston Displacement Model' example available on the
site: http://www.decisioneering.com.
This model is used for the design of a piston assembly.
Three separate components, the crank length, connecting rod length, and piston
height determine the
piston displacement.
The piston displacement needs to be within a certain range to meet customer
requirements. The values that impact the piston displacement are defined with
the appropriate probability distributions.
As a result, you can determine the likelihood of producing assemblies outside of
the specification limits ....
R= f(A,B,..) =(A*COS(D) +B*SQRT (1-((A/B)*SIN(D)^2))+C
 Electrical
Circuit Example
This simulation is based on
an example available on
the site: http://www.palisade.com.
This simple DC circuit consists of two voltage sources: one independent and one
dependent, and two resistors.
The independent source specified by the Design Engineer has an operational power
range of 5500 W + 300 W.If the power draw on the independent voltage source is outside of the
specification, the circuit will be defective.The design performance results clearly indicate that the design is not capable
of performance with a percentage of the
circuits failing on both the high and low end of the limits.... How would you
improve it?
R = Power (W) (LSL = -5200, USL = -5800)
A = V_In (V) (x-bar = 50, s = 0.53)
-
B = Res_1 (k Ohm) (x-bar = 5, s = 0.1)
C = Res_2 (k Ohm) (x-bar = 10, s = 0.1) -
D = Xi (A) (x-bar = 2.5, s = 0.03)
R = f(A,B,..) = ((1/B)+(1/C)+ D)*A**2
 Welding DOE Example
This is an alternative simulation based on
an example available on
http://www.palisade.com.
The part under investigation is a metallic burst cup manufactured by welding a
disk onto a ring.
The product functions as a seal and a safety device, so it must hold pressure in
normal use, and it
must separate if the internal pressure exceeds the safety limit....
The model relates the weld strength to process and design factors, models the
variation for each
factor, and forecasts the product performance in relation to the engineering
specifications.
...
The Engineer can attempt to reduce or better control the variation within the
Weld Time and
Amplitude, to find the optimal process and design targets to maximize yield or
reduce scrap cost...
The transfer function from DOE is:
R= f(A,B,..) =-26.961+SQRT(D)+E*F+G^2/H*E+H-SQRT(C)+A*G+B*G*E
 Plastic Compound
A plastic compound is a mixture of 4 polymers + some additivies.
To achieve predictable and adeguate impact properties in the final compound,
polymer A must be controlled to a
level of a (50 ± 2) % wt.
Given the inherent variation in the feeding process will the compound meet our
requirements?
R = A%_In_Compound
A = Polymer_A FlowRate (x-bar = 500, s = 20) -
B = Polymer_B FlowRate (x-bar = 200, s = 10)
C = Polymer_C FlowRate (x-bar = 150, s = 5) -
D = Polymer_D FlowRate (x-bar = 100, s = 5)
E = Filler FlowRate (x-bar = 38, s = 3)
-
F = Pigment FlowRate (x-bar = 5, s = 1)
G = Anti Ox FlowRate (x-bar = 4, s = 0.75)
-
H = Anti UV FlowRate (x-bar = 3, s = 0.6)
R = f(A,B,..) = (A*100)/(A+B+C+D+E+F+G+H)
 Assembly Gap
Simulation based on the example publishied on
Design For Six Sigma in Technology and Product Development
C.M. Creveling, J.L. Slutsky & D. Antis - Prentice Hall
Chapter 31 : Analytical Tolerance Design
R = f(A,B,..) = D-(A+B+C)
 Fluid Cooling Example
Simulation based on the example publishied on
Design For Six Sigma in Technology and Product Development
C.M. Creveling, J.L. Slutsky & D. Antis - Prentice Hall
Chapter 30 : Optimization Methods
R = Cool_Time
A = Speed
B = Volume
C = Temperature
R = f(A,B,..) = 5.0135-0.8487*A+0.6878*B+0.4476*C-0.6141*(A**2)+0.6086*A*B
 Process (Mission) Impossible I
, .. II - The DoE Error Revenge,
.. III - Do not forget me
The linear
firing shrinkage, with water absorption, apparent density and modulus of
rupture, is commonly used as a process control parameter in industrial
ceramics....
In particular, the influence of forming pressure, sintering temperature and time
have been investigated. Moreover a mathematical model has been proposed and
tested.
The obtained results evidenced that the variable with the higher
influence is the sintering temperature followed by time while forming pressure
has shown a non influent effect.
Is this a robust solution (formula) for the linear shrinkage specification
limits required ?
R = f(A,B,..) = (-1249.32-11.09*B +1.70*A +205.35*C-0.17*A*C)**0.33
Linear shrinkage(%)= f [Temp
of firing(°C), Forming pressure(MPa), Time
at working Temp(min)]
|
Operative
Examples: Download
the Xls and MTJ files or view the Html Report Pages |
|
Simulation with Design
of Experiments |
|
 |
|
Tolerance Analysis
Piston Design |
|
|
|
Piston Displacement |
|
|
|
Electrical Circuit |
|
|
|
Welding DoE |
|
|
|
Plastic Compound |
|
|
|
Cool Time CCD Design |
|
|
|
Process (Mission)
Impossible II - The DoE Error Revenge |
|
|
|
Process (Mission)
Impossible III - Don't you forget about me |
|
|
Your Case Study
Please download the Zip file,
containing MyTemplate.Xls. Insert your DATA in the EXCEL
SHEET and then send us the file by email.
You will receive (as soon as
possible) a full working demo with your simulation ... FREE of CHARGE ...
For Data Privacy, if you want,
you can use 'Var1', 'Var2'... 'VarN' instead of the right variables names.
Please insert a BRIEF CASE
DESCRIPTION and your BUSINESS INFO too...
All trademarks
mentioned on this page are the property of their respective owners
|
