A METHOD FOR SEPARATING THE MATRIX SPECTRUM BY A STRAIGHT LINE AND AN INFINITE STRIP FLUTTER PROBLEM

A new method for separating the matrix spectrum relative to the straight line is proposed, based on a fractional-linear transformation. It is noted that it has a number of advantages over approaches based on an exponential transformation, namely, its applicability area is wider, and the number of iterations required for its convergence is significantly smaller. The proposed method is used to study the problems of infinite strip flutter with various edge fixing conditions, which after suitable discretization of differential operators are reduced to spectral problems for matrices. The study of stability regions by the method of spectrum dichotomy relative to the imaginary axis allows one to construct neutral curves in the plane of parameters of the flutter problem.