Problem 4.42 Figure P4.42 shows an engine valve driven by an overhead camshaft. The rocker arm pivots about the fixed point O and the inertia of the arm about this point is Ir. The valve mass is my and the spring mass is ms; its spring constant is ks. Let fe denote the force exerted on the rocker arm by the camshaft. Assuming that (t) and its time derivatives are known (from the cam profile and the cam speed), derive a dynamic model that can be used to solve for the cam force fc(t). (This information is needed to predict the amount of wear on the cam surface.) Figure P4.42 Cam Camshaft Rocker arm Ir Valve spring k2, ms Valve. my -L1- L2

Understanding Business
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Problem 4.42
Figure P4.42 shows an engine valve driven by an overhead camshaft. The rocker arm
pivots about the fixed point O and the inertia of the arm about this point is Ir. The valve
mass is my and the spring mass is ms; its spring constant is ks. Let fe denote the force
exerted on the rocker arm by the camshaft. Assuming that (t) and its time derivatives are
known (from the cam profile and the cam speed), derive a dynamic model that can be used
to solve for the cam force fc(t). (This information is needed to predict the amount of wear
on the cam surface.)
Figure P4.42
Cam
Camshaft
Rocker arm
Ir
Valve spring
k2, ms
Valve.
my
-L1-
L2
Transcribed Image Text:Problem 4.42 Figure P4.42 shows an engine valve driven by an overhead camshaft. The rocker arm pivots about the fixed point O and the inertia of the arm about this point is Ir. The valve mass is my and the spring mass is ms; its spring constant is ks. Let fe denote the force exerted on the rocker arm by the camshaft. Assuming that (t) and its time derivatives are known (from the cam profile and the cam speed), derive a dynamic model that can be used to solve for the cam force fc(t). (This information is needed to predict the amount of wear on the cam surface.) Figure P4.42 Cam Camshaft Rocker arm Ir Valve spring k2, ms Valve. my -L1- L2
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