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Using MATLAB, plot the following curves for the crank angle range of 0-360: a. For an engine...

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Mechanical Engineering

Using MATLAB, plot the following curves for the crank anglerange of 0-360:

a. For an engine that has R=3.5 and L=110 mm, plot the pistonspeed Sp at engine speeds of 500 RPM, 2000 RPM, and 5000 RPM on thesame plot.

b. For an engine that has L=110mm and running at an engine speedof 5000 RPM, plot the piston speed Sp at R = 3, 4, and 5 on thesame plot.

c. For each of the cases above, determine the crank angle atwhich the piston speed is maximum.

Answer & Explanation Solved by verified expert
3.7 Ratings (584 Votes)

Ans a)Matlab code to plot the different piston speeds
					
					syms pistonSpeed(N,L,r,theta)
					pistonSpeed(N,L,r,theta) = (r*((2*pi*N)/60))*(sin(theta)+(sin(2*theta)/(2*sqrt((L^2/r^2)-sin(theta^2)))
					
fplot(pistonSpeed(500,110,3.5,theta),[0 2*pi])
					xlabel('Crank angle (rad)')
					ylabel('pistonspeed(mm/s)')
hold on

fplot(pistonSpeed(2000,110,3.5,theta),[0 2*pi])

hold on

fplot(pistonSpeed(5000,110,3.5,theta),[0 2*pi])

hold off

Ans b)Matlab code to plot the piston speed at different crank radius
					
					syms pistonSpeed(r,L,N,theta)
					pistonSpeed(r,L,N,theta) = (r*((2*pi*N)/60))*(sin(theta)+(sin(2*theta)/(2*sqrt((L^2/r^2)-sin(theta^2)))
					
fplot(pistonSpeed(3,110,5000,theta),[0 2*pi])

hold on

fplot(pistonSpeed(4,110,5000,theta),[0 2*pi])

hold on

fplot(pistonSpeed(5,110,5000,theta),[0 2*pi])

hold off

Ans c)Matlab code to determine crank angle at which piston speed is max

syms pistonSpeed(r,L,N,theta)
					pistonSpeed(r,L,N,theta) = (r*((2*pi*N)/60))*(sin(theta)+(sin(2*theta)/(2*sqrt((L^2/r^2)-sin(theta^2)))
					
fplot(max(pistonSpeed(3,110,5000,theta)),[0 2*pi])
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