A sketch of a valve and rocker arm system for an internal combustion engine is give in Figure. Model the system as a pendulum attached to a spring and a mass and assume the oil provides viscous damping in the range of 3= 0.01. Determine the equations of motion and calculate an expression for the natural frequency and the damped natural frequency. Here J is the rotational inertia of the rocker arm about its pivot point, k is the stiffness of the valve spring and m is the mass of the valve and stem. Ignore the mass of the spring. Hint: apply Lagrange equation method Ꮎ Rocker arm k m Solution: Ꮎ Follower k Valve spring Oil Cam m Valve l X

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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A sketch of a valve and rocker arm system for an internal combustion engine is give
in Figure. Model the system as a pendulum attached to a spring and a mass and
assume the oil provides viscous damping in the range of 3= 0.01.
Determine the equations of motion and calculate an expression for the natural
frequency and the damped natural frequency. Here J is the rotational inertia of the
rocker arm about its pivot point, k is the stiffness of the valve spring and m is the
mass of the valve and stem. Ignore the mass of the spring.
Hint: apply Lagrange equation method
Ꮎ
Rocker arm
k
m
Solution:
Ꮎ
Follower
k
Valve spring
Oil
Cam
m
Valve
l
X
Transcribed Image Text:A sketch of a valve and rocker arm system for an internal combustion engine is give in Figure. Model the system as a pendulum attached to a spring and a mass and assume the oil provides viscous damping in the range of 3= 0.01. Determine the equations of motion and calculate an expression for the natural frequency and the damped natural frequency. Here J is the rotational inertia of the rocker arm about its pivot point, k is the stiffness of the valve spring and m is the mass of the valve and stem. Ignore the mass of the spring. Hint: apply Lagrange equation method Ꮎ Rocker arm k m Solution: Ꮎ Follower k Valve spring Oil Cam m Valve l X
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