On the solution of asymptotic impact problems with significant localised indentation

Big-Alabo, A., Cartmell, M. P. and Harrison, P. (2017) On the solution of asymptotic impact problems with significant localised indentation. Proceedings of the Institution of Mechanical Engineers Part C: Journal of Mechanical Engineering Science, 231(5), pp. 807-822. (doi:10.1177/0954406216628556)

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Abstract

A major challenge in studying impact problems analytically is solving the governing equations of impact events, which are mostly in the form of nonlinear ODEs. This paper focuses on the solution of nonlinear models for impact problems in asymptotic cases, where local indentation is significant. The asymptotic cases consist of both half-space and infinite plate impacts, which cover a wide range of practical impact events. A so-called force-indentation linearisation method (FILM), first described in a previous study, is reformulated here in a more general form in order to broaden its scope of application. The generalisation of the FILM facilitates stable and convergent solutions even when complex nonlinear contact models are used to estimate the impact force. Simulations based on the FILM approach are validated using numerical solutions.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Harrison, Dr Philip and Big-Alabo, Dr Akuro
Authors: Big-Alabo, A., Cartmell, M. P., and Harrison, P.
College/School:College of Science and Engineering > School of Engineering > Systems Power and Energy
Journal Name:Proceedings of the Institution of Mechanical Engineers Part C: Journal of Mechanical Engineering Science
Publisher:Sage Publications
ISSN:0954-4062
ISSN (Online):2041-2983
Published Online:27 January 2017
Copyright Holders:Copyright © 2016 IMechE
First Published:First published in Proceedings of the Institution of Mechanical Engineers Part C: Journal of Mechanical Engineering Science 231(5):807-822
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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