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research-article

Numerical and experimental study on the dynamic interaction between highly nonlinear solitary waves and pressurized balls

[+] Author and Article Information
Amir Nasrollahi

Laboratory for Nondestructive Evaluation and Structural Health Monitoring Studies, Department of Civil and Environmental Engineering, University of Pittsburgh, Pittsburgh, PA 15261, USA
amn70@pitt.edu

Piervincenzo Rizzo

Laboratory for Nondestructive Evaluation and Structural Health Monitoring Studies, Department of Civil and Environmental Engineering, University of Pittsburgh, Pittsburgh, PA 15261, USA
pir3@pitt.edu

Mehmet Sefa Orak

Laboratory for Nondestructive Evaluation and Structural Health Monitoring Studies, Department of Civil and Environmental Engineering, University of Pittsburgh, Pittsburgh, PA 15261, USA; Department of Civil Engineering, Istanbul Technical University (ITU), Maslak, Istanbul, 34469-Turkey
orak.ms@pitt.edu

1Corresponding author.

ASME doi:10.1115/1.4038990 History: Received October 03, 2017; Revised January 03, 2018

Abstract

This paper discusses the dynamic interaction between a monoatomic chain of solid spheres and a thin-walled spherical pressure vessel. The objective is to find a relationship between the highly nonlinear solitary waves (HNSWs) propagating within the chain and the internal pressure of the vessel. The study introduces first a general finite element model to predict the abovementioned interaction, and then a specific application to tennis balls. The scope is to demonstrate a new nondestructive testing method to infer the internal pressure of the balls. The overarching idea is that a mechanically induced solitary pulse propagating within the chain interacts with the thin-walled ball to be probed. At the chain-ball interface, the acoustic pulse is partially reflected back to the chain and partially deforms the rubber giving rise to secondary pulses. The research hypothesis is that one or more features of the reflected waves are monotonically dependent on the internal pressure. The model is validated experimentally by testing commercial balls of different characteristics. Both numerical and experimental results demonstrate a monotonic relationship between the time-of-flight of the solitary waves and the internal pressure of the tennis balls. In addition, the pressure inferred nondestructively with the HNSWs matches very well the pressure measured destructively with an ad-hoc pressure gauge needle. In the future, the results presented in this study could be used to develop a portable device to infer anytime anywhere the internal pressure of deformable systems for which conventional pressure gages cannot be used noninvasively.

Copyright (c) 2018 by ASME
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