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Reducing Structural Error in Function Generating Mechanisms Via the Addition of Large Numbers of Double-Crank Linkages

Ali, Hessein
http://orcid.org/0000-0002-0566-9796
http://rave.ohiolink.edu/etdc/view?acc_num=dayton1444820035

Abstract Details

2015, Master of Science (M.S.), University of Dayton, Mechanical Engineering.
This thesis 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, progressively 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 or MATLAB's fmincon command 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. These two optimization techniques are used to acquire the best results of the structural error. Mechanisms have been "mgrown" in this fashion to dozens of links that are capable of closely producing functions with a variety of intriguing features.
Andrew Murray (Advisor)
David Myszka (Committee Member)
87 p.
Mechanical Engineering

Recommended Citations

Citations

  • Ali, H. (2015). Reducing Structural Error in Function Generating Mechanisms Via the Addition of Large Numbers of Double-Crank Linkages [Master's thesis, University of Dayton]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=dayton1444820035

    APA Style (7th edition)

  • Ali, Hessein. Reducing Structural Error in Function Generating Mechanisms Via the Addition of Large Numbers of Double-Crank Linkages. 2015. University of Dayton, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=dayton1444820035.

    MLA Style (8th edition)

  • Ali, Hessein. "Reducing Structural Error in Function Generating Mechanisms Via the Addition of Large Numbers of Double-Crank Linkages." Master's thesis, University of Dayton, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=dayton1444820035

    Chicago Manual of Style (17th edition)

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This open access ETD is published by University of Dayton and OhioLINK.