Accession Number : AD0724318

Title :   Mathematical Model for the Free Variation of an Arc with Varying Radius of Curvature.

Descriptive Note : Technical rept.,

Corporate Author : NORTH CAROLINA STATE UNIV RALEIGH DEPT OF MECHANICAL AND AEROSPACE ENGINEERING

Personal Author(s) : Rutledge,James R. ; Royster,Larry H.

Report Date : APR 1971

Pagination or Media Count : 17

Abstract : A mathematical model for the symmetric and antisymmetric free vibrations of an arc with varying radius of curvature is developed. The arc is approximated by a discrete set of equations and the model is developed for varying cross sectional geometry (taper and thickness). Digital computer solutions for the matrix eigenvalue problem are discussed for the pinned-pinned and clamped-radially guided boundary conditions. Vibration coefficients are presented for various elliptical cases with taper and thickness variations. (Author)

Descriptors :   (*BEAMS(STRUCTURAL), VIBRATION), (*TRANSDUCERS, MECHANICAL PROPERTIES), MATHEMATICAL MODELS, RESONANT FREQUENCY, DIFFERENCE EQUATIONS, MATRICES(MATHEMATICS)

Subject Categories : Electrical and Electronic Equipment
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE