In this paper integral equations are applied for the calculation of the normal modes of vibrating beams. Both exact and approximate methods of solving the integral equation are considered. The Green's function, or kernel, of the integral equation is constructed for both uniform and nonuniform beams.
โฆ LIBER โฆ
An integral-equation approach to problems of vibrating beams
โ Scribed by Walter T. White
- Publisher
- Elsevier Science
- Year
- 1948
- Tongue
- English
- Weight
- 688 KB
- Volume
- 245
- Category
- Article
- ISSN
- 0016-0032
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an integral equation representation of cracks was developed and coupled to the direct boundary-element method for treatment of cracks in plane finite bodies. The method was developed for in-plane (modes I and II) loadings only. In this paper, the method is formulated and applied to mode III problems