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Screw theory is the algebraic calculation of pairs of vectors, such as forces and moments or 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). 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.

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  • Schraubentheorie (de)
  • Teoría helicoidal (es)
  • Torseur des actions mécaniques (fr)
  • Screw theory (en)
  • Винтовое исчисление (ru)
  • Гвинтове числення (uk)
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  • Le torseur des actions mécaniques, parfois abusivement appelé torseur statique, est largement utilisé pour modéliser les actions mécaniques lorsqu'on doit résoudre un problème de mécanique tridimensionnelle en utilisant le principe fondamental de la statique. Le torseur des actions mécaniques est également utilisé en résistance des matériaux. On utilisait autrefois le terme de dyname. (fr)
  • Винтово́е исчисле́ние — раздел векторного исчисления, в котором изучаются операции над винтами. (ru)
  • Гвинтове числення — розділ векторного числення, в якому вивчаються операції над гвинтами. (uk)
  • Die Schraubentheorie ist eine hauptsächlich in der Mechanik der starren Körper verwendete Theorie zur Beschreibung statischer und kinematischer Systeme. Zentrales Konzept der Schraubentheorie ist die Schraube (engl. screw, franz. torseur), ein mathematisches Objekt, das der Modellierung von mechanischen Aktionen, Geschwindigkeiten und anderen Größen dient. (de)
  • La teoría helicoidal (nombre original en inglés:"screw theory", literalmente, teoría del tornillo) se ocupa del cálculo algebraico de pares de vectores, como fuerzas y momentos o velocidad angular y lineal, que surgen en la cinemática y dinámica de cuerpos rígidos.​​ El marco matemático fue desarrollado en 1876 por Robert Stawell Ball (1840-1913) para su aplicación en cinemática y estática de mecanismos (mecánica del cuerpo rígido).​ Los teoremas fundamentales incluyen el teorema de Poinsot (Louis Poinsot, 1806) y el teorema de Chasles (Michel Chasles, 1832). (es)
  • Screw theory is the algebraic calculation of pairs of vectors, such as forces and moments or 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). 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. (en)
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  • http://commons.wikimedia.org/wiki/Special:FilePath/Robert_Stawell_Ball.jpg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Pure_screw.svg
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