Discrete switching of elastic elements as a way of ensuring damping in Duffing oscillator

With the aim of improving the efficiency of damping oscillations in non-autonomous Duffing system, the elastic element is divided into deformable and accumulating parts; between them four times a period discrete switching is enabled, which consists of the intermittent disconnection and connection parts. The concepts of the spasmodic changes in the initial length of the forged part and the displacement of the protected object static equilibrium state are introduced. Mass transfer between the parts of the elastic element, occurring at the moments of discrete switching, leads to dissipation of mechanical vibrations energy. Using the introduced concepts, characteristics of the positional forces are developed, their harmonic linearization is made, their equivalent stiffness damping and relative attenuation coefficients are found, the influence of amplitude of relative oscillations on them and the parts mass and initial tension ratio are analyzed.