Hydroelastic Vibration of a Circular Container Bottom Plate Using the Galerkin Method

Natural vibration analysis of rectangular bottom plate structures in contact with fluid

“…That is probably the result of their wide applicability for instance in petrochemical industry and relatively simpler mathematical formulation. Cheung and Zhou (2002) analysed the vibration of a circular container bottom plate using the Galerkin method and taking into account sloshing effects. In some references, for instance (Amabili, 1996;Amabili and Kwak, 1996;Espinosa and Gallego-Juarez, 1984;Kwak, 1997;Tariverdilo et al, 2013) hydroelastic vibration of circular plates in contact with infinite fluid is studied.…”

Convergence of the Galerkin Method for Nonlinear Dynamics of the Continuous Structure

“…For investigating nonlinear and viscoelastic behaviour, Galerkin's method is used to derive modal amplitude equations for a pinned-pinned beam interacting with polyurethane foam foundation [10]. Cheung and Zhou derived the eigenfrequency equation of a flexible thin plate placed [11]. The regular and chaotic vibrations of an axially moving viscoelastic string were presented [12].…”

Coupled vibration of a partially fluid-filled cylindrical container with a cylindrical internal body

“…doi:10. 1016/j.jfluidstructs.2008.07.003 Numerous research on fluid-structure interaction problems have been conducted by different analytical approaches such as the eigenfunction expansion method (Kondo, 1981), the Galerkin method (Cheung and Zhou, 2002;Yamaki et al, 1984), the Rayleigh quotient method (Zhu, 1994), the Rayleigh-Ritz method (Zhu, 1995;Amabili, 1996Amabili, , 1997aJeong, 2006), the collocation method (Mikami and Yoshimura, 1992), and the Fourier series expansion method (Bauer and Komatsu, 1994;Jeong and Lee, 1998).…”