Bending vibration of a rectangular plate with arbitrarily located rectilinear crack

✍ Scribed by Roman Solecki

• Publisher: Elsevier Science
• Year: 1985
• Tongue: English
• Weight: 582 KB
• Volume: 22
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(85)90132-8

✦ Synopsis

Harmonic flexural vibration of a rectangular plate with an arbitrarily located rectilinear crack is investigated. Double finite Fourier transformation of discontinuous functions is applied to a plate with arbitrary boundary conditions and subjected to transverse harmonic loading. Natural vibration of a simply supported plate is analyzed as a special case. The unknown amplitudes of discontinuities of the displacement and slope across the crack are determined by satisfying boundary conditions at the crack's edge. The square-root singularities of the bending moment at the crack's tips are built into the solution. The method of reduction is applied to the infinite characteristic determinant of the problem. Numerical values of three lowest frequencies of vibration of a square plate are obtained for a diagonally located crack of changing length.