A modified orthonormal polynomial series expansion tailored to thin beams undergoing slamming loads. (15th June 2019)

• Record Type: Journal Article
• Authors: Jafarian Kafshgarkolaei, Hassan; Lotfollahi-Yaghin, Mohammad Ali; Mojtahedi, Alireza
• Is Part Of: Ocean engineering. Volume 182(2019)
• Page Start: 38
• Page End: 47
• Publication Date: 2019-06-15
• Subjects: Slamming -- Orthonormal polynomial -- Convergence rate -- Bottom hull panel; Ocean engineering -- Periodicals; Ocean engineering; Periodicals; 620.4162
• DOI: 10.1016/j.oceaneng.2019.04.060
• Languages: English
• ISSNs: 0029-8018

Abstract

Abstract: In this paper, a novel version of orthonormal polynomial series expansion method is developed to analyze vibrations of bottom hull panels due to moving impacting fluid loads. The initial phase of slamming is considered in the presented mathematical model, wherein, an elastic linear Euler-Bernoulli beam of uniform thickness mimics the bottom panel structural behaviour. The framework developed, suppresses the Gibbs phenomenon, and captures the beam deflection, flexural moment, and shear force by direct integration. The proposed solution exhibits a higher convergence rate, compared to the conventional method, in terms of the number of involved shape functions. Highlights: A new method is developed to capture response of boat bottom panels under slamming. Gibbs phenomenon in conventional OPSEM is highlighted. The new method exhibits faster rate of convergence rather than the old one. Convergence is examined for deflection, rotation, flexural moment, and shearing force.