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Three-Dimensional Vibration Analysis of Solid Cylinders of N-Sided Polygonal Cross-Section Having V-notches or Sharp Cracks  

Kim, Joo Woo (세명대학교 건축공학과)
Publication Information
Journal of Korean Society of Steel Construction / v.21, no.4, 2009 , pp. 433-442 More about this Journal
Abstract
In this paper, new three-dimensional vibration data for the solid cylinders of the N-sided polygonal cross-section with V-notches or sharp cracks are presented, and a Ritz procedure is employed, which incorporates a mathematically complete set of algebraic-trigonometric polynomials in conjunction with an admissible set of edge functions that explicitly model the tri-axial stress singularities that exist along a terminus edge of the V-notch. Convergence studies demonstrate the necessity of adding the edge functions to achieve the accurate frequencies and mode shapes of N-sided polygonal cylindrical solids with stress singularities.
Keywords
Ritz method; Polygonal cylindrical solid; Three-dimensional elasticity theory; Free vibration; Three-dimensional stress singularities; Edge function; Natural frequency;
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