Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 824578, 14 pages
Research Article

Inertial Effects on Finite Length Pipe Seismic Response

1C.I.R.AM., Federico II University, 80134 Naples, Italy
2Department of Mathematics and Applications, Federico II University, 80125 Naples, Italy
3Department of Engineering, University of Sannio, 82100 Benevento, Italy
4Department of Hydraulic, Geotechnical and Environmental Engineering, Federico II University, 80125 Naples, Italy

Received 28 September 2011; Accepted 26 October 2011

Academic Editor: Alexander Pogromsky

Copyright © 2012 Virginia Corrado et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A seismic analysis for soil-pipe interaction which accounts for length and constraining conditions at the ends of a continuous pipe is developed. The Winkler model is used to schematize the soil-structure interaction. The approach is focused on axial strains, since bending strains in a buried pipe due to the wave propagation are typically a second-order effect. Unlike many works, the inertial terms are considered in solving equations. Accurate numerical simulations are carried out to show the influence of pipe length and constraint conditions on the pipe seismic strain. The obtained results are compared with results inferred from other models present in the literature. For free-end pipelines, inertial effects have significant influence only for short length. On the contrary, their influence is always important for pinned pipes. Numerical simulations show that a simple rigid model can be used for free-end pipes, whereas pinned pipes need more accurate models.