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DoorOptExtended

# DoorOptExtended - function DoorOptExtended Function DoorOpt...

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Sheet1 Page 1 function DoorOptExtended % Function DoorOpt % Solve for reactions in a door with two hinges using a Matlab % function optimization % % The top hinge is 1, and bottom hinge is 2, the door width is a, the % door height is b, the door mass is m, and gravity is g. % % Usage: DoorOpt % % Params: a = door width % b = door height % m = door mass % g = gravity % The top hinge is 1 and the bottom hinge is 2. % X is to the right, Y is vertically upward, and Z is % perpendicular to the door face. The hinges are on the % left side of the door. % % Outputs: Hinge reaction loads Fx, Fy, and Mz for each of the three cases above, % where x = [Fx global w Aeq beq % Define parameter values m = 100 c = 3 d = 8 g = 32.2 % Formulate the optimization problem and decide which category it is % % Design variables: % x = [Fx1 Fy1 Mz1 Fx2 Fy2 Mz2]' % % Weights: % w = [m*g m*g m*g*c/2 m*g m*g m*g*c/2]' % % Cost function: % min sum((xi/wi)^2) = min sum((1/wi)^2*xi^2) (quadratic in x) % where each xi value is normalized by a corresponding wi value % so that 1 normalized unit of force is as "expensive" as one

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