New Method of Analyzing Vibration of Cracked Cylindrical Shells.
Final rept. 1 Aug 80-30 Sep 82,
CONNECTICUT UNIV STORRS DEPT OF MECHANICAL ENGINEERING
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The method of Fourier transformation of functions with lines of discontinuity and with built-in point singularities, is applied to analysis of vibration of cracked rectangular plates and of cracked cylindrical shells of rectangular planform. Application of the above method in conjunction with Green-Gauss theorem leads to an infinite system of linear algebraic equations. Its characteristic determinant when equated to zero provides with the frequency equation. Numerical examples include a plate with a parallel crack, a plate with a diagonal crack and a shell cracked at the apex. Author
- Structural Engineering and Building Technology