Proceedings of the Korean Society for Noise and Vibration Engineering Conference (한국소음진동공학회:학술대회논문집)
- 2002.11a
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- Pages.394.2-394
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- 2002
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- 1598-2548(pISSN)
Free Vibrations of Arches in Rectangular Coordinates
직교좌표계에 의한 아치의 자유진동 해석
Abstract
The differential equations governing free vibrations of the elastic arches with unsymmetric axis are derived in the rectangular coordinates rather than in polar coordinates, in which the effect of rotatory inertia is included. Frequencies and mode shapes are computed numerically for parabolic arches with both clamped ends and both hinged ends. Comparisons of natural frequencies between this study and SAP 2000 are made to validate theories and numerical methods developed herein. (omitted)
Keywords
- Cartesian coordinates;
- free vibration;
- harmonic motion;
- arch;
- mode shape;
- natural frequency;
- rotatory inertia;
- unsymmetric axis;
- variable curvature