Beschreibung:
This book presents mathematical fundaments and results on sloshing in an upright circular cylindrical tank with semi-analytical solutions. It outlines generic mathematical and physical aspects of the multimodal method, describes milestones, and presents several versions of modal systems for an upright circular tank, both linear and nonlinear.
1. Introduction. 2. Differential, Variational and Modal Statements of the Sloshing Problem. 3. Damping in Liquid Sloshing Dynamics. 4. Linear Modal Theory. 5. Nonlinear Asymptotic Modal Theory of the Narimanov-Moiseev Type. 6. Steady-state (periodic) Solutions of the Narimanov-Moiseev Type Modal Equations. 7. Steady-State Sloshing for the Longitudinal Forcing. 8. Steady-State Sloshing for Orbital Forcing. Appendix: Tables of hydrodynamic coefficients