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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 102
PROCEEDINGS OF THE FOURTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING
Edited by:
Paper 184

Beam-Like and Frame Structures with Singularities: Review and New Advances

S. Caddemi and I. Caliò

Dipartimento di Ingegneria Civile ed Ambientale, University of Catania, Italy

Full Bibliographic Reference for this paper
, "Beam-Like and Frame Structures with Singularities: Review and New Advances", in , (Editors), "Proceedings of the Fourteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 184, 2013. doi:10.4203/ccp.102.184
Keywords: singularities, distributions, generalised functions, damaged beams, damaged.

Summary

The causes of discontinuities and singularities occurring along structural elements are very frequent in a number of engineering problems. Dedicated approaches alternative to classical numerical procedures are of great importance particularly when leading to exact explicit closed-form solutions. In this paper a review of a recent distributional approach of beam-like and frame structures undergoing different types of singularities is presented. The basic idea, combined with suitable integration procedures, is modelling the singularities as concentrated stiffness reductions by means of generalised functions such as Dirac's deltas and Heaviside distributions. Besides, recent new advances towards explicit solutions regarding, among others, tensile buckling of damaged beams, formulation of dynamic and stability matrices of damaged frames are presented and discussed.

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