Approximate Boundary Value Problems of a Deformed Flexible Closed Torso Shell with Excited Edges

Abstract

A boundary value problem solution is presented to treatment the deformations of a closed flexible elastic torso shell having perturbations at its axial edges. A so-called artificial parameter technique is applied to obtain a solution in the form of a double asymptotic series further summed using two-dimensional fractional rational approximations. Convergence of the approximations to the exact solution is proven.

Study of eigenfrequencies with the help of Prony’s method

“…Exceeding these values can lead to the structural failure of object. It is especially important for thin-walled structures which can fail due to minimal relative movement of structure members [1,2]. Such situations occur rather frequently nowadays.…”