Accession Number : AD0801734

Title :   LINEARIZATION OF FORCE AND TORQUE FUNCTIONS FOR SPINNING SHELL,

Corporate Author : ARMY BALLISTIC RESEARCH LAB ABERDEEN PROVING GROUND MD

Personal Author(s) : Bennett, F. D.

Report Date : JUL 1952

Pagination or Media Count : 22

Abstract : A matrix treatment is given of the linearization of force and torque functions for axi-symmetrical spinning shell with r-fold symmetry. Formal equivalence of the procedure with that employed by other authors is established and two coefficients not listed before are found to arise as a matter of course. These coefficients are associated with axial force and torque due to propeller-like reaction of the missile with the incident air stream. Some limitations arising because of the hypotheses of linearization and r-fold symmetry are discussed, and the conclusion emerges that the cross force and torque terms of the linearized functions do not distinguish any order of symmetry lower than symmetry of revolution r approaches infinity. Thus the approximate solution for the yawing motion given by Kelley-McShane applies only to shell that behave like bodies of revolution. Questions of terminology and choice of dimensional factors are discussed. Finally, a matrix derivation of the coefficient transformation of Nielsen-Synge is obtained. (Author)

Descriptors :   *PROJECTILES), (*EXTERIOR BALLISTICS, FORCE(MECHANICS), TORQUE, SPINNING(INDUSTRIAL PROCESSES), AERODYNAMICS, YAW, FUNCTIONS(MATHEMATICS), MATRICES(MATHEMATICS).

Subject Categories : Ballistics

Distribution Statement : APPROVED FOR PUBLIC RELEASE