Forced vibration of liquid-filled composite laminated shell container considering fluid–structure interaction by the scaled boundary finite element method

Abstract

In this paper, the scaled boundary finite element method (SBFEM) is first applied to the forced vibration analysis of partially liquid-filled composite laminated shell structure considering fluid–structure interaction. In comparison with the finite element method, the SBFEM only requires discretization of the boundary of the solution domain, which can reduce the spatial dimension of the problem by one and provide the radial analytical expressions for the variables within the solution domain. The structure consists of a multi-layered fiber-reinforced composite laminated shell and incompressible, inviscid, and irrotational liquid. After separately describing the basic expressions for the fluid and composite laminated shell, which includes the transformation of three coordinate systems and the establishment of the constitutive equations for the shell, the governing equations for the fluid and shell structure using the scaled boundary finite element method and modified SBFEM based on scaling surface transformation are formulated, respectively. Meanwhile, the Newmark method and synchronous solution algorithm are employed for the fluid–structure interaction analysis. Subsequently, two validation cases are conducted to assess the accuracy and convergence of the model. Finally, two numerical examples are employed to perform a parameter analysis on the model, involving the response of the system to ground horizontal harmonic excitation and seismic load. The results indicate that the SBFEM, as a semi-analytical high-precision numerical method, can be effectively used to simulate fluid–structure interaction problem of partially liquid-filled laminated composite shell structures.