Modal response of free spanning pipelines based on dimensional analysis

摘要

The paper examines the problem of an axially loaded pipeline resting on semi-infinite elastic supports on either side of a free span. A dimensional analysis of the problem is carried out, and it is demonstrated that the eigenfrequencies and associated maximum modal stresses of the pipe may be uniquely represented as functions of only two non-dimensional parameters. Explicit analytical formulae for the modal response quantities are derived, with improved accuracy and applicability range as compared to approximate expressions that are widely used in the pipeline industry today. (C) 2014 Elsevier Ltd. All rights reserved.