Journal of Marine Science and Engineering (May 2024)

A π-Theorem-Based Advanced Scaling Methodology for Similarity Assessment of Marine Shafting Systems

  • Georgios N. Rossopoulos,
  • Christos I. Papadopoulos

DOI
https://doi.org/10.3390/jmse12060894
Journal volume & issue
Vol. 12, no. 6
p. 894

Abstract

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This paper introduces a rigorous and comprehensive approach to the assessment of marine shafting systems through the utilization of an advanced π-Theorem-based scaling methodology. Integrating journal-bearing similarity assessment and shaft-line scaling methodology with advanced dimensional analysis, the study aims to provide a methodology foundation for systematic replication and analysis of marine shafting systems through scaled models. The proposed scaling methodology ensures geometric and mechanical similarity in terms of shaft-line deflection, considering key scaling parameters such as shaft length, diameter, weight, loads, rotational speed, material properties, bearing locations, and offsets. The advanced dimensional analysis computes specific non-dimensional ratios to guarantee a close resemblance between a real-size system and a scaled lab model. The methodology is analytically derived and validated with numerical simulations for a case study, conducting comparative analysis, evaluating discrepancies, and utilizing the integrated framework for experimentation.

Keywords