On use of the Dirac delta function in the vibration analysis of elastic structures

DOI10.1016/J.IJSOLSTR.2008.03.009zbMath1169.74425OpenAlexW2043380564MaRDI QIDQ837455

D. J. Gorman

Publication date: 10 September 2009

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2008.03.009

zbMATH Keywords

convergence ratesanalytical solutioneigenvaluestrigonometric seriesresidual forcesDirac functionplate vibrationbeam vibrationconcentrated harmonic forceseries integration

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20)

Related Items (1)

Bending of a rectangular plate with rotationally restrained edges under a concentrated force

Cites Work

• An analytical solution for the free vibration analysis of rectangular plates resting on symmetrically distributed point supports
• ACCURATE FREE VIBRATION ANALYSIS OF POINT SUPPORTED MINDLIN PLATES BY THE SUPERPOSITION METHOD
• Unnamed Item

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