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dc.contributor.authorTokad, Yılmazen_US
dc.date.accessioned2015-01-15T22:58:55Z
dc.date.available2015-01-15T22:58:55Z
dc.date.issued2000-08
dc.identifier.citationTokad, Y. (2000). On the equilibrium of a rigid body suspended by a set of linear springs. Journal of Robotic Systems, 17(8), 417-427. doi:10.1002/1097-4563(200008)17:8<417::AID-ROB2>3.0.CO;2-3en_US
dc.identifier.issn0741-2223
dc.identifier.issn1097-4563
dc.identifier.otherWOS:000088292900002
dc.identifier.urihttps://hdl.handle.net/11729/82
dc.identifier.urihttp://dx.doi.org/10.1002/1097-4563(200008)17:8<417::AID-ROB2>3.0.CO;2-3
dc.description.abstractIn this paper an approach is described for determining equilibrium states of a rigid body suspended elastically in space by a set of linear springs. This system is considered as a two-terminal generalized spring with terminal across (translational and rotational velocities, V-G, omega(G)) and terminal through (terminal force and moment, f(G), m(G)) variables. The algorithmic approach used for the solution of six nonlinear and coupled equilibrium equations consists of two major steps. The first step is to assign an initial orientation to the rigid body which is represented by the transformation (rotation) matrix T(theta,n) and reduce the problem to the solution of force equations only through a computer program. This yields the position vector xi of a preselected point G on the rigid body. Although the terminal force f(G) becomes zero at this position, the calculated terminal moment m(G), in general, is not equal to zero. The second step is to try to determine the correct orientation of the rigid body based on an argument that the terminal moment should vanish. The same argument is also used for the solution of force equilibrium equations. These two steps are repeated several times until both f(G) and m(G) vanish simultaneously yielding an equilibrium state (xi,T(theta, n)). Application of the approach is illustrated through various examples. It is observed that, if there are nonstable equilibrium states of the system, then sometimes all possible physical equilibrium states may not be obtained with this approach.en_US
dc.language.isoengen_US
dc.publisherJohn Wiley & Sonsen_US
dc.relation.isversionof10.1002/1097-4563(200008)17:8<417::AID-ROB2>3.0.CO;2-3
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectStiffnessen_US
dc.titleOn the equilibrium of a rigid body suspended by a set of linear springsen_US
dc.typearticleen_US
dc.description.versionPublisher's Versionen_US
dc.relation.journalJournal of Robotic Systemsen_US
dc.contributor.departmentIşık Üniversitesi, Mühendislik Fakültesi, Elektrik-Elektronik Mühendisliği Bölümüen_US
dc.contributor.departmentIşık University, Faculty of Engineering, Department of Electrical-Electronics Engineeringen_US
dc.identifier.volume17
dc.identifier.issue8
dc.identifier.startpage417
dc.identifier.endpage427
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.contributor.institutionauthorTokad, Yılmazen_US


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