Hinged Frameworks with Unusual Geometrical Properties
Examples of bar and joint frameworks in the plane having unusual geometrical properties are presented. The first of them is a linkage with the varying number of degrees of freedom, depending on its position. The second is a geometrically stable hinged truss with all hinges lying on a straight line. The third one is an exotically unstable truss. Some questions concerning geometry of hinged trusses are stated.
KeywordsLinkages Degrees of freedom Hinged trusses
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- 2.Kovalev M.D., To Geometrical Aspects of Hinged Devices and Configurations. Vestnik MGTU. Mashinostroenie 4(45), 2001, pp. 33–51 (RussianGoogle Scholar
- 3.Wohlhart K., Kinematotropic Linkages. Recent Advances in Robot Kinematics. Kluwer Academic Publishers, 1996, pp. 359–368.Google Scholar
- 5.Kovalev M.D., Stability of Hinged Frameworks and Hinged Schemes. Results of Science and Engineering. Series of Modern Mathematics and Applications. V. 68. Works of the International Conference Devoted to 90 Anniversary of L.S. Pontryagin v. 7. Geometry and Topology. Moscow, VINITI, 1999, pp. 65–86 (RussianGoogle Scholar
- 9.Connelly R., Handbook of Convex Geometry. Vol. A, B, North-Holland, Amsterdam, 1993, pp. 223–271.Google Scholar
- 10.Kovalev M.D, Results and Problems of Geometry of Hinged Devices. The Report on 12 World Congress IFTOMM, Besancon, France, June 18–21, 2007 (RussianGoogle Scholar