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Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Screw_theory> ?p ?o }

• Screw_theory abstract "Screw theory is the algebra and calculus of pairs of vectors, such as forces and moments and angular and linear velocity, that arise in the kinematics and dynamics of rigid bodies. The mathematical framework was developed by Sir Robert Stawell Ball in 1876 for application in kinematics and statics of mechanisms (rigid body mechanics).Screw theory provides a mathematical formulation for the geometry of lines which is central to rigid body dynamics, where lines form the screw axes of spatial movement and the lines of action of forces. The pair of vectors that form the Plücker coordinates of a line define a unit screw, and general screws are obtained by multiplication by a pair of real numbers and addition of vectors.An important result of screw theory is that geometric calculations for points using vectors have parallel geometric calculations for lines obtained by replacing vectors with screws. This is termed the transfer principle.Screw theory has become an important tool in robot mechanics, mechanical design, computational geometry and multibody dynamics. This is in part because of the relationship between screws and dual quaternions which have been used to interpolate rigid-body motions. Based on screw theory, an efficient approach has also been developed for the type synthesis of parallel mechanisms (parallel manipulators or parallel robots).Fundamental theorems include Poinsot's theorem (Louis Poinsot, 1806) and Chasles' theorem (Michel Chasles, 1832). Felix Klein saw screw theory as an application of elliptic geometry and his Erlangen Program. He also worked out elliptic geometry, and a fresh view of Euclidean geometry, with the Cayley-Klein metric. The use of a symmetric matrix for a von Staudt conic and metric, applied to screws, has been described by Harvey Lipkin. Other prominent contributors include Julius Plücker, W. K. Clifford, F. M. Dimentberg, Kenneth H. Hunt, J. R. Phillips.".
• Screw_theory thumbnail Robert_Stawell_Ball.jpg?width=300.
• Screw_theory wikiPageExternalLink chapter4(020507).pdf.
• Screw_theory wikiPageExternalLink M5_slides4.pdf.
• Screw_theory wikiPageID "1318037".
• Screw_theory wikiPageLength "28160".
• Screw_theory wikiPageOutDegree "79".
• Screw_theory wikiPageRevisionID "701835199".
• Screw_theory wikiPageWikiLink 3-sphere.
• Screw_theory wikiPageWikiLink Analytic_geometry.
• Screw_theory wikiPageWikiLink Category:Kinematics.
• Screw_theory wikiPageWikiLink Category:Mechanical_engineering.
• Screw_theory wikiPageWikiLink Category:Mechanics.
• Screw_theory wikiPageWikiLink Category:Rigid_bodies.
• Screw_theory wikiPageWikiLink Cayley–Klein_metric.
• Screw_theory wikiPageWikiLink Chasles_theorem_(kinematics).
• Screw_theory wikiPageWikiLink Complex_plane.
• Screw_theory wikiPageWikiLink Computational_geometry.
• Screw_theory wikiPageWikiLink Domain_of_a_function.
• Screw_theory wikiPageWikiLink Dual_number.
• Screw_theory wikiPageWikiLink Dual_quaternion.
• Screw_theory wikiPageWikiLink Eduard_Study.
• Screw_theory wikiPageWikiLink Elliptic_geometry.
• Screw_theory wikiPageWikiLink Erlangen_program.
• Screw_theory wikiPageWikiLink Euclidean_group.
• Screw_theory wikiPageWikiLink Euclidean_vector.
• Screw_theory wikiPageWikiLink Euler_angles.
• Screw_theory wikiPageWikiLink Eulers_formula.
• Screw_theory wikiPageWikiLink Exponential_map_(Lie_theory).
• Screw_theory wikiPageWikiLink Felix_Klein.
• Screw_theory wikiPageWikiLink Flat_(geometry).
• Screw_theory wikiPageWikiLink Formulation.
• Screw_theory wikiPageWikiLink Geometry.
• Screw_theory wikiPageWikiLink Homography.
• Screw_theory wikiPageWikiLink Invariant_(mathematics).
• Screw_theory wikiPageWikiLink Inversive_geometry.
• Screw_theory wikiPageWikiLink Julian_Coolidge.
• Screw_theory wikiPageWikiLink Julius_Plücker.
• Screw_theory wikiPageWikiLink Kenneth_H._Hunt.
• Screw_theory wikiPageWikiLink Kinematics.
• Screw_theory wikiPageWikiLink Lie_algebra.
• Screw_theory wikiPageWikiLink Lie_group.
• Screw_theory wikiPageWikiLink Louis_Poinsot.
• Screw_theory wikiPageWikiLink Mathematics.
• Screw_theory wikiPageWikiLink Mechanism_(engineering).
• Screw_theory wikiPageWikiLink Michel_Chasles.
• Screw_theory wikiPageWikiLink Multibody_system.
• Screw_theory wikiPageWikiLink Newton–Euler_equations.
• Screw_theory wikiPageWikiLink Plücker_coordinates.
• Screw_theory wikiPageWikiLink Poinsots_ellipsoid.
• Screw_theory wikiPageWikiLink Prismatic_joint.
• Screw_theory wikiPageWikiLink Projective_geometry.
• Screw_theory wikiPageWikiLink Quaternions_and_spatial_rotation.
• Screw_theory wikiPageWikiLink Rational_trigonometry.
• Screw_theory wikiPageWikiLink Reflection_(mathematics).
• Screw_theory wikiPageWikiLink Revolute_joint.
• Screw_theory wikiPageWikiLink Rigid_body.
• Screw_theory wikiPageWikiLink Rigid_body_dynamics.
• Screw_theory wikiPageWikiLink Ring_(mathematics).
• Screw_theory wikiPageWikiLink Robert_Stawell_Ball.
• Screw_theory wikiPageWikiLink Screw_axis.
• Screw_theory wikiPageWikiLink Se(3).
• Screw_theory wikiPageWikiLink Sophus_Lie.
• Screw_theory wikiPageWikiLink Space.
• Screw_theory wikiPageWikiLink Statics.
• Screw_theory wikiPageWikiLink Symmetric_matrix.
• Screw_theory wikiPageWikiLink Theodore_Minasyevich_Dimetberg.
• Screw_theory wikiPageWikiLink Transformation_geometry.
• Screw_theory wikiPageWikiLink Twist_(mathematics).
• Screw_theory wikiPageWikiLink Unit_(ring_theory).
• Screw_theory wikiPageWikiLink Unit_circle.
• Screw_theory wikiPageWikiLink Versor.
• Screw_theory wikiPageWikiLink Von_Staudt_conic.
• Screw_theory wikiPageWikiLink William_Kingdon_Clifford.
• Screw_theory wikiPageWikiLink William_Rowan_Hamilton.
• Screw_theory wikiPageWikiLink File:Pure_screw.svg.
• Screw_theory wikiPageWikiLink File:Robert_Stawell_Ball.jpg.
• Screw_theory wikiPageWikiLinkText "Reciprocity of twist and wrench".
• Screw_theory wikiPageWikiLinkText "Screw theory".
• Screw_theory wikiPageWikiLinkText "Screw theory#Twist".
• Screw_theory wikiPageWikiLinkText "Screw_theory#Wrench".
• Screw_theory wikiPageWikiLinkText "dual vector".
• Screw_theory wikiPageWikiLinkText "homography of dual quaternions".
• Screw_theory wikiPageWikiLinkText "screw displacement".
• Screw_theory wikiPageWikiLinkText "screw displacements".
• Screw_theory wikiPageWikiLinkText "screw theory".
• Screw_theory wikiPageWikiLinkText "screw transformation".
• Screw_theory wikiPageWikiLinkText "screw".
• Screw_theory wikiPageWikiLinkText "screws and wrenches".
• Screw_theory wikiPageWikiLinkText "twist".
• Screw_theory wikiPageWikiLinkText "wrench".
• Screw_theory wikiPageUsesTemplate Template:Reflist.
• Screw_theory subject Category:Kinematics.
• Screw_theory subject Category:Mechanical_engineering.
• Screw_theory subject Category:Mechanics.
• Screw_theory subject Category:Rigid_bodies.
• Screw_theory hypernym Algebra.
• Screw_theory type Discipline.
• Screw_theory type Dynamic.
• Screw_theory type Machine.

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