Coupled vibration analysis of partially liquid-filled cylindrical shells with internal horizontal plates

• Published in: Thin-walled structures Vol. 200; p. 111884
• Main Authors: Chen, Songhao, Han, Yueyang, Zhu, Xiang, Li, Tianyun, Zhong, Kexin
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.07.2024
• Subjects: Coupling vibration characteristics; Internal horizontal plates; Liquid sloshing effect; Partially liquid-filled cylindrical shells; Semi-analytical method; Internal horizontal plates; Liquid sloshing effect; Partially liquid-filled cylindrical shells; Semi-analytical method; Coupling vibration characteristics
• ISSN: 0263-8231; 1879-3223
• DOI: 10.1016/j.tws.2024.111884

•A semi-analytical method is proposed to solve the coupled vibration analysis of partially liquid-filled cylindrical shells with internal horizontal plates.•Two coordinate systems are used to depict the motion of the structures and fluid, respectively.•The internal fluid takes into account the linear sloshing effect.•The analytical modeling is considered with both the coupling of the shell with the internal structure and the partial interaction between the shell and partially filled fluid.•The effects of the structures’ parameters and liquid effect on the coupling system's free and forced vibration behaviors are studied. A semi-analytical method is proposed to analyze the coupling vibration characteristics of a partially liquid-filled cylindrical shell with an internal horizontal plate, considering the sloshing effect of the free liquid surface. Two coordinate systems are set at the midpoint of the free surface and the geometric center of the cylindrical shell's cross-section, respectively. The Flügge shell and Kirchhoff-love theories are adopted to establish the motion equations of the cylindrical shell and the plate on the structural coordinate system, respectively, in which the displacement functions are expressed with the wave propagation method. The liquid velocity potential functions are described in the symmetrical/anti-symmetrical forms based on the liquid coordinate system, which satisfies Laplace's equation. The coupling governing equations are deduced by the continuous conditions of force and displacement on the fluid-shell interface. After that, the coupling vibration responses can be solved. The accuracy of the present method is verified by the comparison with the finite element method. The influences of the structures’ parameters and liquid effect on the coupling system's free and forced vibration behaviors are discussed, and the sloshing behaviors of the internal fluid are also discussed under different parameters.