Coupler-Point Curve Synthesis Using Homotopy Methods

dc.contributor.advisorTsai, L.-W.en_US
dc.contributor.authorLu, Jeong-Jangen_US
dc.contributor.departmentISRen_US
dc.date.accessioned2007-05-23T09:42:52Z
dc.date.available2007-05-23T09:42:52Z
dc.date.issued1988en_US
dc.description.abstractA new numerical method called "Homotopy" method (Continuation method) is applied to the problem of four-bar coupler-point-curve synthesis. We have shown that, for five precision points, the link lengths of a four-bar linkage can be found by the "General Homotopy" method. For nine precision points, the "Cheater's Homotopy" can be applied to find some four-bar linkages that will guide a coupler point through the nine prescribed positions. The nine-coupler points synthesis problem is highly non-linear and highly singular. We have also shown that Newton-Raphson's method and Powell's method, in general, tend to converge to the singular condition or do not converge at all, while the cheater's homotopy always works. The powerfulness of Cheater's homotopy opens a new frontier for dimensional synthesis of mechanisms.en_US
dc.format.extent1404247 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/1903/4847
dc.language.isoen_USen_US
dc.relation.ispartofseriesISR; MS 1988-3en_US
dc.subjectIntelligent Servomechanismsen_US
dc.titleCoupler-Point Curve Synthesis Using Homotopy Methodsen_US
dc.typeThesisen_US

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