A cam$-$driven pump is needed to simulate human aortic pressure to serve as a consistent

repeatable pseudo$-$human input to a hospital$$s operating room monitoring equipment to test the

equipment daily. Figure below shows the Human Aortic characteristic pressure curve and the

proposed system pressure$-$volume function curve. Design a cam to drive the piston and give as

close as possible an approximation the aortic pressure curve that can be obtained without

violating the fundamental laws of cams. Simulate the dicrotic notch as best as you can.

Deliverables:

$1.$ Design Concept & Kinematic Analysis:

Explanation of the cam design approach for simulating human aortic pressure.

Kinematic analysis of motion $($displacement$,$ velocity, acceleration and jerk$)$ for the cam,

ensuring the motion follows the pressure$-$volume curve for the aortic system.

$2.$ Cam Profile Design:

Detailed cam profile that approximates the aortic pressure curve. This includes graphical

representations of the cam profile and the calculated displacement function.

$3.$ Pressure Angle Calculations:

Calculation of the pressure angle throughout the cam's motion, ensuring that it stays

within acceptable limits to avoid excessive wear or cam malfunction.

$4.$ Radius of Curvature Calculations:

Calculation of the radius of curvature at key points of the cam profile and an explanation

of how this impacts the cam$-$follower interaction, minimizing undesirable friction.

$5.$ Simulation of Dicrotic Notch:

Explanation and kinematic simulation of the dicrotic notch in the pressure curve as best

as possible within the cam design. This includes any special techniques used to model the

notch.

$6.$ System Schematic:

Schematic diagram showing the cam$-$follower system, including the cam profile, piston,

and actuating components.