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
Distribution Statement : APPROVED FOR PUBLIC RELEASE