Write code to determine engineering constants for a single ply in the laminate c

Question

Write code to determine engineering constants for a single ply in the laminate coordinate system for a ply for which engineering constants are known and measured through ASTM testing. Assume that these engineering constants are measured for a particular material: E11, E22, E33, v12, v13, v23, G12, G13, G23. (these are the inputs to the code). The second input to the code is the lamina angle relative to the laminate coordinate system.

Run the following example (for a unidirectional lamina): E11=20Msi, E22=1 Msi, v12=0.34, v23=0.4, G12=0.8 Msi, G23=0.5 Msi. Determine effective engineering constants in the laminate coordinate system for when the ply angle of the single lamina is 0-deg, 30-deg, 45-deg, 60-deg, 75-deg, and 90-deg. Make observations about your findings for each of the cases. Can you explain why using this code could be beneficial?

Explanation / Answer

***/ Matlab program for plotting the Campbell diagram (Non dimensional) considering Gyroscopic effect for the rotational motions of a rotor with four degrees of freedom in which translational and rotational motions are uncoupled /***

for omega1 = 0:0.1:3;

for d = 0:0.5:2;

w1 = ((d)*(omega1)) + sqrt((((d^2)*((omega1)^2))/4) + 1);

w2 = ((d)*(omega1)) - sqrt((((d^2)*((omega1)^2))/4) + 1);

w3 = 0;

plot(omega1,w1,'*');

hold on;

plot(omega1,w2,'+');

hold on;

plot(omega1,w3,'.');

hold on;

xlabel('omega*');

ylabel('w*');

title('Campbell Diagram');

end

end

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