Abstract
The article investigates the problem of hydro-elastic interaction of a weak shock wave with a rigid nosed rotation shell preloaded with axial forces. The shell is enclosed in a rigid parabolic screen, i.e. the impact of the end face and the shock wave diffraction are not considered. Liquid is regarded to be perfectly compressible. Its applied summing hydrodynamic pressure during complex interaction with the shell surface can be classified into the incident, reflected and radiated waves. The problem of hydro-elastic interaction of these shock fronts with a preloaded parabolic rigid nosed shell in a related setting is reduced to the solution of the wave equations of nonlinear system of equations for shell motion under particular initial and boundary conditions, in which the dimensionless displacement of this nose section under the impact of hydrodynamic forces is determined by integrating its motion equation. The equations, describing the dependences of nose section displacements on shock wave interaction time, take into account generalized hydrodynamic forces, including the second category directly related to the mass of the attached fluid. Determination of stress-strain state in case of interaction with the shock wave in the liquid of elastic rotation paraboloid in the form of the shell containing a rigid insertion in the nose section is reduced to the solution of a nonlinear equations system of shell motion considering the boundary conditions along fastenings at the end face of the shell and interface conditions of the shell and insertion. Dimensionless displacements of the nose section caused by hydrodynamic forces are defined by integrating the equations of motion under the initial conditions along insertion offsets in the axial directions.
Highlights
The article investigates the problem of hydro-elastic interaction of a weak shock wave with a rigid nosed rotation shell preloaded with axial forces
The shell is enclosed in a rigid parabolic screen, i.e. the impact of the end face and the shock wave diffraction are not considered
Its applied summing hydrodynamic pressure during complex interaction with the shell surface can be classified into the incident, reflected and radiated waves
Summary
Задача гидроупругого взаимодействия указанных ударных фронтов с нагруженной параболической оболочкой, имеющей жесткую носовую часть, в связанной постановке сводится к решению волновых уравнений нелинейной системы уравнений движения оболочки при соответствующих начальных и граничных условиях, в которых безразмерное смещение этой носовой части под действием гидродинамических сил определяется интегрированием ее уравнения движения. Определение напряженно-деформированного состояния при взаимодействии с ударной волной в жидкости упругого параболоида вращения в виде оболочки, содержащей в носовой части жесткую вставку, сводится к решению системы нелинейных уравнений движения оболочки с учетом граничных условий по закреплениям в торце оболочки и условий сопряжения оболочки и вставки. Проблема взаимодействия плоской ударной волны в идеально сжимаемой жидкости с нагруженной упругой оболочкой вращения, имеющей жесткую носовую часть, носит приоритетный характер при разработке эффективных и надежных аппаратов, функционирующих в жидкости, что неоднократно подчеркивалось в работах [1,2,3,4,5,6,7].
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
