Natural Modes of Liquid Sloshing in a Cylindrical Container with an Elastic Cover

Liquid sloshing and its interaction with an elastic cover in a cylindrical tank is considered. The velocity potential for the fluid flow expanded into Bessel-Fourier series as commonly used. An efficient scheme then developed, which allows plate deflection to use same type of expansion potential. When these two are matched on interface plate, together edge conditions, unknown coefficients expansions can be easily obtained. This much more convenient than common procedure where different used upon matching each term further Through developed method, explicit equation derived natural frequencies extensive results provided. corresponding mode shapes principal strains distribution also investigated. Results provided underlining physics discussed. To verify obtained results, problem solved through method first vertical modes. Another derived. While may very form, residual theorem, it found that second identical one.