Presenter(s)
Hessein Ashour
Files
Download Project (754 KB)
Description
This research presents a methodology for synthesizing planar linkages to approximate any prescribed periodic function. The mechanisms selected for this task are the slider-crank and the geared five-bar with connecting rod and sliding output (GFBS), where any number of drag-link (or double crank) four-bars are used as drivers. A slider-crank mechanism, when comparing the input crank rotation to the output slider displacement, produces a sinusoid-like function. Instead of directly driving the input crank, a drag-link four-bar may be added that drives the crank from its output via a rigid connection between the two. Driving the input of the added four-bar results in a function that is less sinusoid-like. This process can be continued through the addition of more drag-link mechanisms to the device, slowly altering the curve toward any periodic function with a single maximum. For periodic functions with multiple maxima, a GFBS is used as the terminal linkage added to the chain of drag-link mechanisms. The synthesis process starts by analyzing one period of the function to design either the terminal slider-crank or terminal GFBS. A randomized local search is then conducted as the four-bars are added to minimize the structural error between the desired function and the input-output function of the mechanism. Mechanisms have been “grown” in this fashion to dozens of links that are capable of closely producing functions with a variety of intriguing features.
Publication Date
4-9-2015
Project Designation
Graduate Research
Primary Advisor
Andrew P. Murray, David H. Myszka
Primary Advisor's Department
Mechanical and Aerospace Engineering
Keywords
Stander Symposium project
Disciplines
Arts and Humanities | Business | Education | Engineering | Life Sciences | Medicine and Health Sciences | Physical Sciences and Mathematics | Social and Behavioral Sciences
Recommended Citation
"Reducing Structural Error in Function Generating Mechanisms via the Addition of Large Numbers of Double-Crank Linkages" (2015). Stander Symposium Projects. 673.
https://ecommons.udayton.edu/stander_posters/673
![Reducing Structural Error in Function Generating Mechanisms via the Addition of Large Numbers of Double-Crank Linkages](https://ecommons.udayton.edu/stander_posters/1662/thumbnail.jpg)
Included in
Arts and Humanities Commons, Business Commons, Education Commons, Engineering Commons, Life Sciences Commons, Medicine and Health Sciences Commons, Physical Sciences and Mathematics Commons, Social and Behavioral Sciences Commons