Global geometries in space kinematics

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dc.contributor.authorGürsoy, Osman
dc.contributor.authorİncesu, Muhsin
dc.date.accessioned2024-07-12T20:56:16Z
dc.date.available2024-07-12T20:56:16Z
dc.date.issued2009en_US
dc.departmentMaltepe Üniversitesi, İnsan ve Toplum Bilimleri Fakültesien_US
dc.description.abstractThe geometry of path trajectory ruled surfaces generated by the oriented lines fixed in a moving rigid body is important in the study of rational design problem of spatial mechanism. An x-closed trajectory ruled surface (x-c.t.s.) is characterized by two real integral invariants, the pitch and the angle of pitch . Using the integral invariants, the closed trajectory surfaces have been studied in many papers [1],[2]. In this study, based on [3] introducing a relationship between the dual integral invariant, and the dual area vector, Vx, of the spherical image of an x-c.t.s., new results on the feature of the trajectory surfaces are investigated. And also, since the dual angle of pitch, defined in [4], of an x-c.t.s. is a useful apparate in the study of line geometry, we use the dual representations of the trajectory surfaces with their dual angle of pitches. Therefore, besides the results on the real angle of pitches, that some of them given [3] many other results on the pitches of closed trajectory ruled surfaces are obtained. And some relationships between the other invariants are given. Also, using the some method, the area of projections of spherical closed images of the trajectory surfaces are studied. It is hoped that the findings will contribute to the geometry of trajectory surfaces, so the rational design of spatial mechanisms.en_US
dc.identifier.citationGürsoy, O. ve İncesu, M. (2009). Global geometries in space kinematics. Maltepe Üniversitesi. s. 314.en_US
dc.identifier.endpage315en_US
dc.identifier.isbn9.78605E+12
dc.identifier.startpage314en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2952
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciencesen_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY07676
dc.titleGlobal geometries in space kinematicsen_US
dc.typeConference Object
dspace.entity.typePublication

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