{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,5]],"date-time":"2024-08-05T11:58:05Z","timestamp":1722859085201},"reference-count":33,"publisher":"Cambridge University Press (CUP)","issue":"10","license":[{"start":{"date-parts":[[2016,10,5]],"date-time":"2016-10-05T00:00:00Z","timestamp":1475625600000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Robotica"],"published-print":{"date-parts":[[2017,10]]},"abstract":"<jats:title>SUMMARY<\/jats:title><jats:p>Optimization is an important step in the design and development of a planar parallel manipulator. For optimization processes, workspace analysis is a crucial and preliminary objective. Generally, the workspace analysis for such manipulators is carried out using a non-dimensional approach. For planar parallel manipulators of two degrees of freedom (2-DOF), a non-dimensional workspace analysis is very advantageous. However, it becomes very difficult in the case of 3-DOF and higher DOF manipulators because of the complex shape of the workspace. In this study, the workspace shape is classified as a function of the geometric parameters, and the closed-form area expressions are derived for a constant orientation workspace of a three revolute\u2013revolute\u2013revolute (3-RRR) planar manipulator. The approach is also shown to be feasible for different orientations of a mobile platform. An optimization procedure for the design of planar 3-RRR manipulators is proposed for a prescribed workspace area. It is observed that the closed-form area expression for all the possible shapes of the workspace provides a larger solution space, which is further optimized considering singularity, mass of the manipulator, and a force transmission index.<\/jats:p>","DOI":"10.1017\/s0263574716000710","type":"journal-article","created":{"date-parts":[[2016,10,5]],"date-time":"2016-10-05T10:54:03Z","timestamp":1475664843000},"page":"2056-2075","source":"Crossref","is-referenced-by-count":8,"title":["Determination of the closed-form workspace area expression and dimensional optimization of planar parallel manipulators"],"prefix":"10.1017","volume":"35","author":[{"given":"M.","family":"Ganesh","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Banke","family":"Bihari","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Vijay Singh","family":"Rathore","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dhiraj","family":"Kumar","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chandan","family":"Kumar","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Apelagunta Ramya","family":"Sree","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Karanam Naga","family":"Sowmya","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Anjan Kumar","family":"Dash","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2016,10,5]]},"reference":[{"key":"S0263574716000710_ref16","doi-asserted-by":"crossref","unstructured":"R. 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