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

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)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1971
Accession Number
AD0724318

Entities

People

  • James R. Rutledge
  • Larry H. Royster

Organizations

  • North Carolina State University

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Coefficients
  • Computers
  • Curvature
  • Digital Computers
  • Eigenvalues
  • Equations
  • Geometric Forms
  • Geometry
  • Lines (Geometry)
  • Mathematical Models
  • Mathematics
  • Models
  • Thickness
  • Vibration

Fields of Study

  • Mathematics
  • Physics

Readers

  • Structural Dynamics.