Bending vibration of a simply supported rectangular plate with a crack parallel to one edge

✍ Scribed by Roman Solecki

• Publisher: Elsevier Science
• Year: 1983
• Tongue: English
• Weight: 519 KB
• Volume: 18
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(83)90004-8

✦ Synopsis

Natural flexural vibration of a simply supported rectangular plate with a symmetrically located crack parallel to one edge is considered. The problem is analyzed by means of finite Fourier transformation of discontinuous functions. The unknowns of the problem are the discontinuities of the displacement and of the slope across the crack. The singularities of the moments at the tips are "built" in the solution. The conditional equations are obtained by satisfying the boundary conditions at the crack's edge. This requires differentiation of Fourier series representing a discontinuous function. The characteristic equation in form of an infinite determinant is obtained. Numerical data for certain geometries as well as comparison with existing results are included.