Mixed synthesis method of motion and path of planar four-bar linkages
<p>The mixed synthesis of motion and path generation, which is also known as the Alt–Burmester problem, is an attractive problem for study. However, such a problem for the four-bar linkages which possess more than <span class="inline-formula"><i>M</i></span> p...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Copernicus Publications
2021-04-01
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| Series: | Mechanical Sciences |
| Online Access: | https://ms.copernicus.org/articles/12/443/2021/ms-12-443-2021.pdf |
| Summary: | <p>The mixed synthesis of motion and path generation, which is also known as the Alt–Burmester problem, is an attractive problem for study. However, such a problem for the four-bar linkages which possess more than <span class="inline-formula"><i>M</i></span> poses (<span class="inline-formula"><i>M</i>>5</span>) and mixed <span class="inline-formula"><i>N</i></span> path points has not been well-solved. In this work, a mixed synthesis method is developed for planar four-bar linkages to cope with the above problem. The developed method can quickly select an optimal combination that contains five poses and <span class="inline-formula"><i>N</i></span> points by using the conic filtering algorithm, which is based on the similar characteristics of the value and direction between the conic and coupler curves in a certain neighborhood. Next, the selected five poses are substituted into a simplified equation system of motion synthesis which includes four equations and four variables to solve the parameters of the planar four-bar linkage. Finally, a case is provided to validate the effectiveness of the developed method in the mixed synthesis problem.</p> |
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| ISSN: | 2191-9151 2191-916X |