CALCULATION OF CIRCULAR FREQUENCY BY SUBSPACE-ITERATION IN CASE OF FREQUENCY-DEPENDENT DYNAMICAL STIFFNESS MATRIX

Abstract

We will describe in the paper how the approximate dynamical stiffness matrix can be produced in a significantly simpler way than known from literature in case of displacement functions written as the power series of frequency w. The displacement functions dependent on w have to be used only at the production of mass matrix and there only in one of the factors of the matrix series. At big tasks the method of subspace iteration can be suitably used for the calculation of circular frequency in number necessary in practice. We will show how this method can be used for mass matrices dependent on w making the definition of the sought circular frequencies within one iteration method possible.