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

Bitter, Neal P. and Shepherd, Joseph E. (2014) A Simple Model for Axial Displacement in a Cylindrical Pipe With Internal Shock Loading. Journal of Applied Mechanics, 81 (3). Art. No. 034505. ISSN 0021-8936. http://resolver.caltech.edu/CaltechAUTHORS:20140227-111913743

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Abstract

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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1115/1.4025270DOIArticle
http://appliedmechanics.asmedigitalcollection.asme.org/article.aspx?articleid=1731939PublisherArticle
ORCID:
AuthorORCID
Shepherd, Joseph E.0000-0003-3181-9310
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.
Group:GALCIT
Record Number:CaltechAUTHORS:20140227-111913743
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20140227-111913743
Official Citation:Bitter, N. P., & Shepherd, J. E. (2013). A Simple Model for Axial Displacement in a Cylindrical Pipe With Internal Shock Loading. Journal of Applied Mechanics, 81(3), 034505-034505. doi: 10.1115/1.4025270
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:44035
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:27 Feb 2014 19:38
Last Modified:22 Sep 2016 22:31

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