Dynamic Response of a Floating Transverse Beam due to Slamming with Considering Wagner Theory

Authors

1 Faculty of civil engineering, University of Tariz

2 Faculty of Civil engineering, University of Tabriz

3 Faculty of Civil Engineering

10.22034/ceej.2023.56388.2256

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 vibration of hull panels subject to slamming loads has been analyzed using a new version of orthonormal polynomial series

expansion method. In the presented version of the orthonormal polynomial

series expansion method, an efficient framework is proposed to

attain the response of the structure. The developed method does not

require employing higher derivatives of orthonormal shape functions to

post-process the displacement field and internal forces. In return, it is

based on the successive direct integration of the shape functions and

pressure function. Consequently, the Gibbs effects are remarkably suppressed.

The number of contributing orthonormal shape functions has

been widely probed in the computation of beam deflection, flexural

moment and shear force for both the developed modified orthonormal

polynomial series expansion method and the conventional method.

Being free of spatial derivatives of basic orthonormal polynomials,

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Main Subjects