HW5_-_Cams

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University of Illinois, Urbana Champaign *

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370

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Mechanical Engineering

Date

Dec 6, 2023

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pdf

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ME 370 Fall 2023 Homework 5: Cams NAME: ______Steve Chen____________ UIN: ____677807892___________ Total Points: 34 points Problem 1: (10 pts) Principles of Cam Design 1.1 (1 pts) Describe the Fundamental Law of Cam Design. The cam position, velocity and acceleration must be continuous across the entire interval, meaning that the change in motion needs to be continuous and . 1.2 (1 pts) Why is a discontinuity in velocity undesirable? What about a discontinuity in acceleration? Discontinuity in velocity will cause sudden changes in the forces and stresses applied to the parts, which may cause failure, same with the acceleration,as force is acceleration*mass. Other than the danger of failure or weakening, there is also the issue of The sudden change in acceleration will cause a jerk, and the jerk needs to be finite along the path. 1.3 (2 pts) What are some advantages/disadvantages of a cam-follower compared to a linkage? Cam-follower systems usually have less moving parts, and also more compact and have higher precision than a linkage. On the other hand the cam-follower has lower flexibility in terms of motion, and also have the issue of wear and needing lubrication. 1.4 (6 pts) Name the below shown cam-followers in terms of i) Type of cam: radial vs. axial, ii) Type of follower motion: rotating vs. translating, iii) Type of joint closure: force-closed vs. form-closed Type of cam Type of follower motion Type of joint closure Axial Rotating follower(if no roller at the end of the follower) form closed
Radial Rotating follower form closed Problem 2: (10 Pts) Snail Cam motion design The following is a Snail Cam-Follower, which is commonly used when you wish to rapidly retract a follower, and do not care about shock. Animation: https://technologystudent.com/cams/snail1.htm The cam has the following motion profile: Dwell - At 0 inch for 0-90 degrees Rise- Linearly from zero displacement to 1 inch for 90-360 degrees Snap back - at 360 degrees 2.1 (2 pts) What kind of Cam-Follower is this (Cam type, Follower type, Joint Closure)? Radial, Translating follower that is force-closed by a spring. 2.2 (4 pts) Write down the piecewise equation of motion for the Cam s( θ ) 0 , 0<theta<90 (theta-90)/270 , 90<theta<360 2.3 (4 pts) Sketch the SVAJ plots for this motion profile 2
Problem 3: (14 pts) Designing cams Upon graduation, you have been hired by Anheuser-Busch of St. Louis, Missouri. Your task is to design a “fun” beer mug delivery system for their bar. This motion of the tray will be driven by a cam-follower design. A tray attached to a follower will: (a) wait under the tap for 5 seconds, long enough to fill the mug, (b) move away from the tap and travel along (rise) the counter by 15” in 10 seconds, moving slowly, to not spill the precious liquid (c) dwells for only 1 second at the end of the counter, where thirsty patrons have to quickly grab their mug. (d) returns (fall) “quickly” to the tap in 4 seconds, since it no longer has a drink to balance. Repeat. The motor driving the cam has a constant velocity of = 3 rpm (or 360° / 20 ω sec). Do not be concerned about the mechanisms used to place or fill the mug, this is the responsibility of a bar tender. 3.1 (2 points) What type of follower is appropriate here, (a) Rotating, (b) Translating? Briefly explain your rationale. Translating follower is more appropriate here, as the movement needed is linear. It also needs to be form closed to have the pulling forces. 3.2 (2 points) Sketch an example of what the cam-follower mechanism might look like. Label the mechanism with the expressions dwell , rise , fall to indicate which parts of the mechanism correspond with what motion. Quantitative values and exact angles are not needed here. 3
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