Generalized nonlinear modal model of the third order of smallness for sloshing in co-axial conical containers

• Date: 2017
• Author Affiliations: А. В. Солодун — Институт математики НАН Украины
• Keywords: keywords
• Main Authors: Solodun, A. V., Солодун, А. В.
• Format: Article
• Language: Russian
• Published: Інститут математики НАН України 2017
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/339
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

For the problem on the resonant sloshing in coaxial conical reservoirs occurring due to harmonic horizontal tank excitations, an infinite-dimensional governing system of third-oder ordinary differential equations is derived. The derivation scheme is based on the non-conformal mapping technique and the...