Project 2 Report - Results (updated)

Project 2 Report - Results (updated) - Results and...

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Results and Discussion This section presents the results obtained through the analysis described above for the geared five-bar linkage. Three different designs of the geared five-bar linkage have been considered. For case one, the radius of gear 2 is 2 inches and the radius of gear 3 is 3 inches. For case two, the radius of gear 2 is 3 inches and the radius of gear 3 is 3 inches. For case three, the radius of gear 2 is 4 inches and the radius of gear 3 is 2 inches. As stated above, the angular velocity of input link 2 is a constant 10 rad/sec. This section will present the results for case two, when the gear ratio is one-to-one. The results for case one is shown in Appendix B and the results for case three can be found in Appendix C. For case two, the input link began at zero degrees and rotated counterclockwise 360 degrees in 5 degree increments. Using the Newton-Raphson method described the position variables for links 3, 4, and 5 were determined. The plot of the position variables of links 4 and 5 is shown in Figure 4a while the plot of the position variables for link 3 is shown in Figure 4b. The numerical values for the position variables of links 3, 4, and 5 are shown in Table 3 found in Appendix A. Figure 4a: Position Variables Links 4 and 5 against Input position
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Position Variable Link 3 against Input Position It can be seen in Figure 4a that both links make a complete turn. This conclusion is made because the plot shows that both links return to their initial position. Figure 4a not only gives the position analysis for links 4 and 5 but also confirms that the conditions of the input link are acceptable for this analysis. Equation 9 shows that the singular configurations occur when the angle of link 4 differs the angle of link 5 by 180 degrees or when the two angles are equal. It is clear from Figure 4a that neither of these conditions is satisfied and thus a singular position does not when the radius of gear 2 is 3 inches and the radius of gear 3 is 3 inches.
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This note was uploaded on 02/03/2012 for the course ME 352 taught by Professor Staff during the Fall '08 term at Purdue University-West Lafayette.

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Project 2 Report - Results (updated) - Results and...

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