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DYNAMIC MULTI-STRUCTURE IN MODELLING A TRANSITION FLEXURAL WAVE

Part of: Equations of mathematical physics and other areas of application Singular integral equations

Published online by Cambridge University Press:  05 December 2014

Alexander B. Movchan ,
Michele Brun ,
Leonid I. Slepyan  and
Gian F. Giaccu
Alexander B. Movchan
Affiliation:
Department of Mathematical Sciences, University of Liverpool, Liverpool, L69 7ZL, U.K. email abm@liv.ac.uk
Michele Brun
Affiliation:
Department of Mathematical Sciences, University of Liverpool, Liverpool, L69 7ZL, U.K. Dipartimento di Ingegneria Meccanica, Chimica e dei Materiali, Universitá di Cagliari, Piazza d’Armi, I-09123 Cagliari, Italy email mbrun@unica.it
Leonid I. Slepyan
Affiliation:
School of Mechanical Engineering, Tel Aviv University, PO Box 39040, Ramat Aviv 69978 Tel Aviv, Israel email leonid@eng.tau.ac.il
Gian F. Giaccu
Affiliation:
Dipartimento di Ingegneria Meccanica, Chimica e dei Materiali, Universitá di Cagliari, Piazza d’Armi, I-09123 Cagliari, Italy Department of Architecture, Design and Urban Planning, University of Sassari, Piazza Duomo 6, Alghero, Italy email gf.giaccu@uniss.it

Abstract

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This paper presents a model of a 1D–1D dynamic multi-structure, supporting propagation of a transition wave. It is used to explain the recent phenomenon of the collapse of the San Saba bridge. An analytical model is supplied with illustrative numerical simulations.

MSC classification

Primary: 35Q15: Riemann-Hilbert problems 45E10: Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) 35Q74: PDEs in connection with mechanics of deformable solids

Information

Type
Research Article
Information
Mathematika , Volume 61 , Issue 2 , May 2015 , pp. 444 - 456
Copyright
Copyright © University College London 2014 

References

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