Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published March 2014 | Published
Journal Article Open

A Simple Model for Axial Displacement in a Cylindrical Pipe With Internal Shock Loading


This paper describes a simplified model for predicting the axial displacement, stress, and strain in pipes subjected to internal shock waves. This model involves the neglect of radial and rotary inertia of the pipe, so its predictions represent the spatially averaged or low-pass–filtered response of the tube. The simplified model is developed first by application of the physical principles of conservation of mass and momentum on each side of the shock wave. This model is then reproduced using the mathematical theory of the Green's function, which allows other load and boundary conditions to be more easily incorporated. Comparisons with finite element simulations demonstrate that the simple model adequately captures the tube's axial motion, except near the critical velocity corresponding to the bar wave speed √(E/ρ). Near this point, the simplified model, despite being an unsteady model, predicts a time-independent resonance, while the finite element model predicts resonance that grows with time.

Additional Information

© 2014 ASME. Manuscript received April 22, 2013; final manuscript received July 30, 2013; accepted manuscript posted October 16, 2013; published online October 16, 2013. Assoc. Editor: Weinong Chen.

Attached Files

Published - jam_081_03_034505.pdf


Files (1.0 MB)
Name Size Download all
1.0 MB Preview Download

Additional details

August 19, 2023
October 26, 2023