论文信息 - Screw axes and mobility in spatial mechanisms via the linear complex

Screw axes and mobility in spatial mechanisms via the linear complex

Abstract The geometry of the linear complex, as an expression of the helicoidal field of relative infinitesimal displacements of two bodies, is used to determine instantaneous screw axes in spatial mechanisms. It is then shown how the existence of many over-constrained linkages can be explainedm and even predicted, by applying simple theorems directly related to linear complexes, congruences, and ruled quadric surfaces.

Kenneth H. Hunt | K. H. Hunt

[1] G. T. Bennett. LXXVII. The parallel motion of Sarrut and some allied mechanisms , 1905 .

[2] R. Bricard. Leçons de cinématique , 1926 .

[3] A. F. Möbius. Lehrbuch der Statik , .

[4] Kenneth J. Waldron,et al. A family of overconstrained linkages , 1967 .

[5] K. Waldron. The constraint analysis of mechanisms , 1966 .

[6] R. Bricard. Mémoire sur la théorie de l'octaèdre articulé , 1897 .

[7] F. M. Dimentberg,et al. A spatial four-link mechanism having two prismatic pairs , 1966 .

[8] K. H. Hunt. Prismatic pairs in spatial linkages , 1967 .

[9] F. E. Myard. Contribution à la géométrie des systèmes articulés , 1931 .

[10] G. T. Bennett,et al. The Skew Isogram Mechanism , 1914 .

[11] M. Skreiner. Acceleration Analysis of Spatial Linkages Using Axodes and the Instantaneous Screw Axis , 1967 .

[12] D. Hilbert,et al. Geometry and the Imagination , 1953 .

[13] Bernard Roth,et al. On the Screw Axes and Other Special Lines Associated With Spatial Displacements of a Rigid Body , 1967 .

[14] W. C. Graustein,et al. Introduction to higher geometry , 1933 .