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Information × Registration Number 0221U100830, 0120U105260 , R & D reports Title Diffraction processes and acoustic radiation forces in the bounded hydroelastic systems popup.stage_title Head Kubenko Veniamin D., Доктор фізико-математичних наук Registration Date 09-01-2021 Organization Institute of Mechanics. S.P. Tymoshenko of the National Academy of Sciences of Ukraine popup.description2 SEMI-INFIFNITE CYLINDRICAL CAVITY, COMPRESSIBLE LIQUID, PLANE WAVE, SPHERICAL BODY, HYDRODYNAMIC INTERACTION, ANOMALOUS FREQUENCIES, END CROSS-SECTION Object of investigation – structural elements that are simulated by the cavities filled with a liquid containing solid, liquid or gaseous bodies (particles) including spherical thin elastic shells which in turn are filled with liquid or gas. Work objectives – development of the analytical approach for determination of hydrodynamic fields and acoustic radiation forces regularities in the compressible liquid filling the cavity and containing solid, liquid, gaseous or encapsulated particles. Investigation methods - analytical. An approach for investigation of the hydrodynamic characteristics of the system consisting of a semi-infinite circular cylindrical cavity filled with an ideal compressible liquid and spherical body located by the cavity end is developed. Plane harmonic wave propagates along the system axis and induces complex diffraction field that needs to be determined. The method of separation of variables are used along with the translational addition theorems for spherical wave functions and expressions of the spherical wave functions in terms of cylindrical functions and vice versa. In doing so, the all boundary conditions can be satisfied and exact analytical solution can be derived. Determination of the hydrodynamic characteristics yields the infinite system of algebraic equations. It is proved the system belongs to the system of normal type and can be solved by the reduction method, i.e. the solution can be found as the solution of the truncated system of the algebraic equations of the finite order. Product Description popup.authors Zhuk Yaroslav O Klimchuk Taras V. Liskin Viacheslav O Ostos Oleksandr H. Yanchevsʹkyy Igor V. popup.nrat_date 2021-01-22 Close