An Analytical Method for Solving the Problem of Stationary Motion of a Shell Segment Under the Influence of a Harmonic Cylindrical Wave in an Acoustic Medium
摘要
An approach to the solution of noise absorption problems of Kirchhoff–Love shell segments based on the method of compensating loads is presented, which makes it possible to obtain analytical solutions of such problems for any kind of boundary conditions corresponding to real methods of anchoring. The motion of a shell segment in an acoustic medium under the influence of a harmonic cylindrical wave whose focus coincides with the center of the shell is studied. The motion of the segment is defined as a superposition of displacements of the whole cylinder in the acoustic medium and compensating loads, which are convolutions of forces with influence functions for displacements. The magnitudes of these forces are determined from the boundary conditions. The proposed solution is universal, which allows it to be applied to any type of real fixation of shell segments.