Aircraft deplaning and centre of gravity

Question

Ahmad Al-jelali 2016-9-6

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/302014-aircraft-deplaning-and-centre-of-gravity

评论： Walter Roberson 2016-9-11

Hi guys, I have the following so far:

a=30;
b=3;
A=rand(a,b)<0.85;
B=zeros(30,1);
C=A;
D=[A B C]

I am working on aircraft deplaning and how the centre of gravity changes when passengers start to deplane the aircraft. I am simulating the A320 as a 30*7 matrix as it can be seen from the above. I am new to Matlab and would like to know how to perform the following:

1-the 30*7 matrix shows passengers seated in different seats where 1 is and empty seats are zeros. I want to simulate passengers getting off the aircraft and the ones become zeros. 2- a code that can calculate and track where the centre of gravity is and how it changes with respect to time.

Any help is very highly appreciated because I am stuck and need help with it.

Regards,

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Answer 1

Walter Roberson 2016-9-6

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https://ww2.mathworks.cn/matlabcentral/answers/302014-aircraft-deplaning-and-centre-of-gravity#answer_233891

I showed simulation code for passengers deplaning at http://www.mathworks.com/matlabcentral/answers/301930-random-numbers-and-matrix#answer_233804

You cannot meaningfully calculate changes in center of gravity without modeling the existing weight distribution of the fixed portions, and the weight of the individual passengers (including luggage), and indeed the dynamic motion of the passengers moving through the plane, taking into account that they never simply deplane one at a time with the others staying seated until the previous is gone.

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Ahmad Al-jelali 2016-9-6

Yah Walter that is 100% correct but because I am new to my Matlab your example was confusing me more because I couldn't get it to run. What I am doing is deplaning the aircraft one by one and seeing how the centre of gravity changes with respect to time. Each passenger weights 77 Kg and has 7 kg luggage with them. Can you please show me how to make the code and run it correctly.

Walter Roberson 2016-9-6

I have repaired the code in http://www.mathworks.com/matlabcentral/answers/301930-random-numbers-and-matrix#answer_233804

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Answer 2

Image Analyst 2016-9-6

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/302014-aircraft-deplaning-and-centre-of-gravity#answer_233887

在 MATLAB Online 中打开

Try this for a start:

a=30;
b=3;
A=rand(a,b)<0.85;
B=zeros(30,1);
C=A;
D=[A B C]
[rows, columns] = size(D)
for row = 1 : rows
  % Empty right side
  D(row, 1:3) = 0;
  % Compute center of gravity
  % I'll let you do this.  Let us know if you can't figure it out.
  [xCOG(row), yCOG(row)] = FindCOG(D)
  % Now empty left side.
  D(row, 5:7) = 0;
  % Compute center of gravity again.
  [x(row), yCOG(row)] = FindCOG(D)
end

I assume you know how to find the center of gravity. It's not hard but let us know if you can't figure that out.

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Image Analyst 2016-9-9

编辑：Image Analyst 2016-9-9

在 MATLAB Online 中打开

I'm not sure if you're trying to get us to do the whole thing for you. I've fleshed it out a little more for you by assigning random weights for the passengers and their carry-on luggage.

airlineRows = 30;
airlineHalfSideSeats = 3;
occupancyFactor = 0.85;
% Create a seat map of the left side, middle asile, and right side.
rightSide=rand(airlineRows, airlineHalfSideSeats) < occupancyFactor;
middleAisle=zeros(30,1);
leftSide=rand(airlineRows, airlineHalfSideSeats) < occupancyFactor;
% Now make a seat map for the entire plane by combining them.
passengerMap = [rightSide, middleAisle, leftSide]
[rows, columns] = size(passengerMap)
% Make passenger weights uniformly distributed between 67 and 87:
passengerWeights = 67 + 20 * rand(size(passengerMap)) 
% Make passenger carry-on luggage weights uniformly distributed between 6 and 8:
luggageWeights = 6 + 2 * rand(size(passengerMap)) 
% Zero out empty seats.
passengerWeights = passengerWeights .* passengerMap
luggageWeights = luggageWeights .* passengerMap
timePoint = 1;
for row = 1 : rows
  % First assume that the left side empties first.
  % Start with seat 3, then 2, then 1
  for col = 3 : -1 : 1
    passengerMap(row, 3) = 0; % Empty the aisle seat only, seat #3.
    % Update passenger weight and luggage weight.
    passengerWeights = passengerWeights .* passengerMap
    luggageWeights = luggageWeights .* passengerMap
    % That passenger is now gone.
    % Remaining passengers shift to the right
    % See if you can figure out how to shift the arrays to the right.
    ; % Code.....
    % After the aisle passenger has left, and remaining passengers
    % has shifted right, re-compute center of gravity.
    % I'll let you do this.  Let us know if you can't figure it out.
    [xCOG(timePoint), yCOG(timePoint)] = FindCOG(passengerMap, passengerWeights, luggageWeights)
    timePoint = timePoint + 1;
  end
  
  % Now empty the right side.
  % Start with seat in column 5, then 6, and then finally 7
  for col = 5 : 7
    passengerMap(row, 5) = 0; % Empty the aisle seat only, seat #5.
    % Update passenger weight and luggage weight.
    passengerWeights = passengerWeights .* passengerMap
    luggageWeights = luggageWeights .* passengerMap
    % That passenger is now gone.
    % Remaining passengers shift to the left
    % See if you can figure out how to shift the arrays to the left.
    ; % Code.....
    % After the aisle passenger has left, and remaining passengers
    % has shifted left, re-compute center of gravity.
    % I'll let you do this.  Let us know if you can't figure it out.
    [xCOG(timePoint), yCOG(timePoint)] = FindCOG(passengerMap, passengerWeights, luggageWeights)
    timePoint = timePoint + 1;
  end
end

See if you can finish the simulation by shifting the passengers (the map, the passenger weights, and the carry-on luggage weights) over in the row after the aisle passenger exits, and computing the COG with the random weights applied.

To make it more realistic (and complicated) you'd have to put the aisle passenger into column 4 and march them forward one or more rows as people exit the plane at row 0. But don't worry about that at this early stage. Just get this working first.

To make it fancy and visual, show the passengerMap with imshow() and the COG with plot().

Ahmad Al-jelali 2016-9-11

Yah he made it sound so easy when I asked. I will try my best to finish it but what is the best way to learn Matlab.

Walter Roberson 2016-9-11

http://www.mathworks.com/matlabcentral/answers/8026-best-way-s-to-master-matlab

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Aircraft deplaning and centre of gravity

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