Accession Number : AD0680993

Title :   THE SCREW CALCULUS AND ITS APPLICATIONS IN MECHANICS

Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSONAFB OH

Personal Author(s) : Dimentberg, F. M.

PDF Url : AD0680993

Report Date : 03 APR 1968

Pagination or Media Count : 162

Abstract : The author sets forth the basic propositions of screw calculus on the basis of the elementary apparatus of modern vector algebra and indicates certain of its applications. The book sets forth material from the theory of sliding vectors, the algebra of complex numbers of the form alpha + omega (alpha superscript 0) with a special multiplier omega that possesses the property omega squares = 0, the algebra of screws, fundamentals of the differential geometry of the rules surface, which are necessary for the kinematics of solids, the foundations of screw analysis, and, finally, certain data from the classical theory of screws in its geometrical aspect, with indication of a number of applications in mechanics.

Descriptors :   *KINEMATICS, DIFFERENTIAL GEOMETRY, VECTOR ANALYSIS, ALGEBRA, VECTOR SPACES, COMPLEX VARIABLES, TRANSFORMATIONS(MATHEMATICS), STATICS, N BODY PROBLEM, EQUATIONS OF MOTION, VIBRATION, USSR.

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE