ABSTRACT
The conditional or corresponding conservative system is understood to be a system with complex rigidity. All the solutions obtained for the Voight model can be used for an approximate analysis of systems in which damping varies arbitrarily with frequency. The introduction of operator functions ought to be more rigorously justified and extended to systems with a continuous spectrum of eigen values. The operator functions may be similarly introduced and equations of motions written for two-dimensional and three-dimensional systems with discrete or continuous spectrums. The proposed method of developing visco-elastic analogs for models with an arbitrary variation of complex stiffness with frequency can be simultaneously looked upon as an approximation method for solving non-steady dynamic problems in systems with given frequency characteristics or fairly complicated equations of motion. The model of frequency-independent visco-elastic resistance is now fairly well established and is widely used in research as well as design practise.
