Download - Jesse Smith Industrial Engineering
Jesse SmithIndustrial Engineering
Measurement in the 3D Coordinate plane Industrial Engineering with Linear and
Quadratic models Historical Engineering Activity Industrial Engineering Game
Measurement in the 3D Coordinate plane
The x,y,axis The x,y,z axis Measurement in 3 dimensions Manufacturing in 3 dimensions Wind tunnel
demonstrationIndustrial Application 3-D Laser Scanner
y
The (x,y) axis
x
z
x
y
The x,y,z axis
Home made scanner and description of 3D axis
Setting up the coordinate plane on isometric graph paper
Developing the isometric drawling using the measuring machine
Using orthographic drawing and aerodynamic principals
Wind tunnel
Design of Wind tunnel
Setting up Airfoil
Testing the airfoil
3d laser scanner
Calibration
Scanned image
Industrial Engineering with Linear and Quadratic models
Linear and quadratic equationsPaper helicopter demonstrationData collection (wing length/time)Predictions from dataTest predictionsRevision with new modelWorksheets
Linear Equations
• Y=mx+b form
• Can be used to predict linear data
Quadratic Equations
• y = ax2 + bx +c form
• Used as one way to graph data in a non linear form
Paper Helicopter demonstration
Data Collection
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0.5
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1.5
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2.5
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winglength
1234
Tim
e (sec)
Prediction from Data
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wing length
12345
This line shows that the predicted flight time for a 5 inch wing should be 3 seconds------- after testing it proved almost true ( 2.9 seconds)
Tim
e (sec)
0
0.5
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3.5
winglength
123456
Tim
e (sec)
For a six inch wingspan a prediction of 3.2 seconds was made
This did not work
A new model was needed
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0.5
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winglength
123456
Tim
e (sec)
This is clearly not a linear function. A quadratic model might be used to predict the optimal wing length. Before going to an optimal measurement a ROBUST design based on a linear model might be used
Robust Design
Sometimes the optimal is not the best. If a design falls within the acceptable operating parameters and is more efficient to produce, then it might be more economically feasible to use this design.
1 hour to produce 2 minutes to produce
Which one would you choose ?
Historical Engineering ActivityDifferent equations are used in different
situations.Siege weapons and their usesBallista linear modelsSlope (slope formula, trig models, linear
regression)Trebuchet quadratic models
Different equations are used in different situations.
Linear Equations Quadratic Equations
Siege weapons and their usesIn Medieval warfare it was sometimes necessary to lay siege to an enemy fortification. e.g. a castle.
?
Several Devices were developed to help deal with these situations.
The other was the trebuchet.
One of these was the ballista.
www.trebuchet.comhttp://members.lycos.nl/onager/ballista.html
The Ballista could fire directly at a target (Linear Model)
http://members.lycos.nl/onager/ballista.html
By knowing the height of the target and the distance tables could be developed slope and
angles could be compared.
riserunangle
rise
run
opposite
adjacent
Slope Tangent
The Trebuchet could fire in a high arc. (Quadratic Model)
www.trebuchet.com
Buy building models improvements can be made on existing designs as well as planned objects
Model Trebuchet Large scale model
Models Can lead to Future Designes
Make sure you know what is going to happen ------------------- or at least have an idea !
Industrial Engineering Game