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Other titles in the Cambridge Mathematical Library series:
A Treatise on the Theory of Screws (Cambridge Mathematical Library)by Robert Stawell Ball
Synopses & Reviews
Originally published by Cambridge University Press in 1900, A Treatise on the Theory of Screws is the definitive reference on screw theory. It gives a very complete geometrical treatment of the problems of small movements in rigid dynamics. In recent years the theory of screws has emerged as a novel mathematical resource for addressing complex engineering problems, with important applications to robotics, multibody dynamics, mechanical design, computational kinematics, and hybrid automatic control. The author was born in Dublin in 1840 and studied at Trinity College, Dublin. When the Royal College of Science was founded in Dublin in 1867, Ball became the first professor of applied mathematics and mechanism. In 1874 he was appointed Royal Astronomer of Ireland, and in 1892 he assumed the Lowndean Chair of Astronomy and Geometry and the Directorship of the University Observatory at Cambridge, where he remained until his death in 1913. This book will appeal to mechanical and design engineers.
Definitive reference on screw theory with important applications to complex engineering problems.
Table of Contents
1. Twists and wrenches; 2. The cylindroid; 3. Reciprocal screws; 4. Screw co-ordinates; 5. The representation of the cylindroid by a circle; 6. The equilibrium of a rigid body; 7. The principal screws of inertia; 8. The potential; 9. Harmonic screws; 10. Freedom of the first order; 11. Freedom of the second order; 12. Plane representation of dynamical problems concerning a body with two degrees of freedom; 13. The geometry of the cylindroid; 14. Freedom of the third order; 15. The plane representation of freedom of the third order; 16. Freedom of the fourth order; 17. Freedom of the fifth order; 18. Freedom of the sixth order; 19. Homographic screw systems; 20. Emanants and pitch invariants; 21. Developments of the dynamical theory; 22. The geometrical theory; 23. Various exercises; 24. The theory of screw-chains; 25. The theory of permanent screws; 26. An introduction to the theory of screws in non-Euclidian space; Appendices; Bibliographical notes; Index.
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