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dc.contributor.authorLu, Jeong-Jangen_US
dc.date.accessioned2007-05-23T09:41:23Z
dc.date.available2007-05-23T09:41:23Z
dc.date.issued1988en_US
dc.identifier.urihttp://hdl.handle.net/1903/4774
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 lilcage can be found by the "General Homotopy" method. For nine precision points, the "Cheater's Homotopy" can be applied to find some fourbar linkages that will guide a couDler noint through the nine prescribed positions. The nine-coupler-points synthesis problem is highly non-linear and highly singular. We have also shown that NewtonRaphson'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.extent1402843 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoen_USen_US
dc.relation.ispartofseriesISR; TR 1988-44en_US
dc.titleCoupler-Point Curve Synthesis Using Homotopy Methods.en_US
dc.typeTechnical Reporten_US
dc.contributor.departmentISRen_US


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