How do you find cam acceleration?

It is used often for high-speed cams because it results in low levels of noise, vibration, and wear. Smoothness in velocity and acceleration during the stroke is the advantage inherent in this curve….Linear.

Lift f y (z) = z
Speed f v (z) = 1
Acceleration f a (z) = 0

What is the equation of cam?

Cam Calculation Equations

Lift f y (z) = (6z 2 – 15z + 10) z 3
Speed f v (z) = (z 2 – 2z + 1) 30z 2
Acceleration f a (z) = (2z 2 – 3z + 1) 60z
Pulse f j (z) = (6z 2 – 6z + 1) 60

What is the maximum acceleration of a cam follower undergoing simple harmonic motion?

Since Cv=1.5, Ca=6, the maximum velocity and acceleration values will be: vmax=1.5*Hw/b , amax=6*H(w/b)2. We have shown the motion curves for the rise and these curves start at q = 0 end at q = b with a rise s=H. The rise can start at any cam angle and we can have return motion.

What is the profile of a cam?

A cam is generally a disc or a cylinder mounted on a rotating shaft, which gives a special motion to a follower, through direct contact. The cam profile is determined by the required follower motion and the design of the type of follower.

What is the output movement of a cam and follower?

The output is a follower held up by the cam and in line with a track. The follower moves up and down in every time the input makes a full rotation. Therefore, the output movement is reciprocating. The flow of power cannot be reversed since the follower can not move the cam in a complete circle.

What will be maximum acceleration in m/s 2 of follower in SHM when cam rotates at 25.14 rad s descend angle is 1.047 radian when lift is 4mm?

113.8 m/s
and maximum acceleration of the follower during its descent, aR= π2ω22(θR)2 = π2(25.14)2×0.042(1.047)2= 113.8 m/s.

What is cam profile in kinematics?

Cam profile- It is the actual working surface contour of the cam Base circle- It is the smallest circle drawn to the cam profile from the centre of rotation of the cam Trace point- It is the point on the follower located at the knife edge in knife edge follower and the centre of roller in the roller follower or the …

How do you create a cam profile?

Design of the Cam Profile

  1. Draw the 100 mm diameter base circle.
  2. Now draw the outermost of the concentric circle.
  3. Since, there is no offset of the follower; hence the cam will be aligned with AB.
  4. Now divide the base circle and the outermost circle by 300 sectors.

What is pitch circle in cam?

Pitch circle: It is a circle drawn from the centre of the cam through the pitch points. iii. Pressure angle: It is the angle between the direction of the follower motion and a normal to the pitch curve. This angle is very important in designing a cam profile.

How do you calculate the angular velocity of a cam follower?

Angular velocity of the cam is given as w =50* p /30 = 5.238 s-1, therefore p /3 cam rotation will take place within D t= 0.2 s. If the speed of the follower is kept at 200 mm/s during this phase of the motion, then the amount of rise with constant velocity is H’=200*0.2= 40mm.

What are the basic motion requirements for the cam profile?

Fulfill the basic motion requirements for the cam profile. The displacement, velocity, and acceleration curves must be continuous, and the jerk must not be infinite. This means that the positions, and first and second derivatives, must be equal at the segment ends.

What is a modified cycloidal cam profile?

The modified cycloidal cam profile is also a three-phase D-R-R-D cam that has a distinguishable characteristic, which makes it ideal for use in high-speed machinery ( Reeve, 1997 ).

How to calculate follower displacement from cam profile?

With the above given parameters, a simulation run has been carried out when the cam profile is selected so as to generate a follower displacement x in the form: (2) x = X * abs sin ω t + ϕ where X is the follower maximum displacement, ω is the cam angular velocity, and ϕ is the phase shift angle.