In: Statistics and Probability
The purpose of this project is to design an “optimal” paper airplane using a 2-factor factorial experiment (2k) approach. Students will initially perform a 1/8 fractional factorial experiment on a paper airplane design that contains 6 design parameters, each design parameter containing two possible factors.
Using the interaction effects from the fractional factorial experiment, students will select the best combination of design parameters to create the “optimal” paper airplane. Experiments will be performed to assess the performance of this “optimal” design.
Your objective is to maximize the flight time. This will be assessed using maximum average distance traveled by the airplane in four trials.
Materials and Equipment:
Design parameters / factors:
1) Paper Type
2) Length of Wing
3) Width of Body
4) Length of Body
5) Wing Type (Angled or Non-Angled)
6) Paper Clip
Recommended Protocol:
Part A : Assembling and testing initial airplane designs; results will be concluded out of class using Minitab, Excel, etc.
Part B: Develop and test the new airplane design using results of DOE from week 1.
Procedure:
Part A: Creation of Initial Airplane
Eight paper airplane designs will be created as defined below. The designs will vary based on the 6 design parameters. Trials will then be performed to assess the performance of each design. The performance measure of interest is the average distance traveled by the airplane in four trials.
Determine the Number of Trials Required:
Knowing that the experiment is a 2k fractional factorial design; and that 1/8 of the number of trials is acceptable; and that there are 6 factors and 2 responses; what is the number of required airplanes which need to be created?
Plane Design:
As stated before, this experiment is a 2-factor factorial experiment. The only factors for this experiment are high and low level values/characteristics.
Recording Distances:
Knowing that 4 trials is acceptable, complete 4 runs with each airplane, then find the average distance covered by the airplane. Record these distances in a table for each model.
Determining Effects of Control Parameters:
Which control parameter or parameters had the greatest effect? And why?
Complete the following table of the changes you made (include the table in your final report). Materials |
New Design |
Paper Type |
|
Length of Wing |
|
Width of Body |
|
Length of Body |
|
Wing Type (Angled or Non-Angled) |
|
Paper Clip |
Part B: Creation of Improved Airplane Design
Based on the most influential variables and the interaction effects, create the “ultimate” paper airplane. Re-run the experiment 4 times and note the distances. Conclude in the lab write-up the change you made to the airplane, and whether your resultant design effected the distance of your airplane.
Airplane Distance for New Design (include table and analysis in Final report): Runs |
Distance (inches) |
1 |
|
2 |
|
3 |
|
4 |
|
Average |
I HOPE ITS HELPFULL TO YOU...IF YOU HAVE ANY DOUBTS PLS COMMENTS BELOW....I WILL BE THERE TO HELP YOU....PLS RATE THUMBS UP........!!
AS FOR GIVEN DATA....
2^k experiment involves an experiment which involves one or two factors, each having discrete values and the experiment is performed which takes all possible combination of values for the above-mentioned factors. Thus, a fractional experiment is simply where the possible number of combinations is too high and thus some are excluded. In the given case, as 1/4 fraction has to be used, meaning we will discard 75% of possible combinations.
I have taken the distance the plane goes when thrown as the sole factor underlying a design of a paper plane, thus every plane design can be checked on this factor and the following matrix can be designed.
Throw |
PAPER AIRPLANE DISTANCE (meters) |
||||
Design 1 | Design 2 | Design 3 | Design 4 | Design5 | |
Throw 1 | |||||
Throw 2 | |||||
Throw 3 | |||||
Throw 4 | |||||
Throw 5 | |||||
Adjusted Average |
I HOPE YOU UNDERSTAND...
PLS RATE THUMBS UP...ITS HELPS ME ALOT....
THANK YOU...!!