Dynamic Stiffness Method for Free Vibration of Beams and Frameworks with Cutouts
J. Ranjan BANERJEE, David KENNEDY
Abstract. The free vibration behaviour of beams and frames with rectangular cutouts is investigated by the dynamic stiffness method. Essentially, the beam is split into three components, of which the middle one is the cutout portion. The dynamic stiffness matrix of the beam is assembled from those of the three parts using symbolic computation, and is related to the degrees of freedom at the end nodes by partial Gauss elimination. The Wittrick-Williams algorithm is applied to analyse the in-plane and out-of-plane free vibration characteristics. Representative results are presented with important conclusions drawn.
Keywords
Dynamic Stiffness, Free Vibration, Beams, Cutouts, Wittrick-Williams Algorithm
Published online 11/8/2026, 6 pages
Copyright © 2026 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA
Citation: J. Ranjan BANERJEE, David KENNEDY, Dynamic Stiffness Method for Free Vibration of Beams and Frameworks with Cutouts, Materials Research Proceedings, Vol. 73, pp 284-289, 2026
DOI: https://doi.org/10.21741/9781644904459-55
The article was published as article 55 of the book Mechanics of Advanced Materials and Structures
Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
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