Hydroelastic analysis of periodic arrays of multiple articulated floating elastic plate

ABSTRACT

The periodic array of multiple articulated floating elastic plate acted upon by ocean waves is analysed considering Timoshenko-Mindlin plate theory. The floating elastic plate is placed periodically and is interconnected with vertical linear and flexural rotational springs which acts as an articulated joint. The hydroelastic behaviour of multiple articulated floating elastic plate is analysed based on eigenfunction expansion method along with the orthogonal mode-coupling relation in finite water depth and the continuity of energy and mass flux are used in the hydroelastic analysis of floating plate at shallow water depth. Further, the application of the wide-spacing approximation (WSA) method is employed to analyse the hydroelastic characteristics of the multiple articulated floating elastic plate. The results obtained using the eigenfunction expansion method is compared with the results based on WSA at finite water depth and validated with the results available in the literature.

KEYWORDS:

• Timoshenko-Mindlin plate theory
• multiple articulation
• hydroelasticity
• wide-spacing approximation
• VLFS

PACS:

• 74J15
• 74J20
• 76B07
• 76B15

Acknowledgements

The authors are thankful to NITK Surathkal and Ministry of Human Resource Development (MHRD), New Delhi for providing necessary support to perform the research work.

Disclosure statement

No potential conflict of interest was reported by the authors.

ORCID

K. M. Praveen http://orcid.org/0000-0001-9696-0695

D. Karmakar http://orcid.org/0000-0001-6596-3201

C. Guedes Soares http://orcid.org/0000-0002-8570-4263

Additional information

Funding

The authors are thankful to NITK Surathkal and Ministry of Human Resource Development (MHRD), New Delhi for providing financial support to perform the research work.