Non-linear Oscillations of Mechanical Systems with Structure Damping Vibration Protection Devices

A simplified mathematical description of elastic and non-elastic resistance which describes main peculiarities of non-linearity of structure damping vibration protection devices is proposed. A method of small parameter is improved in a present paper; it allows researching of quasi-harmonic oscillations for harmonic excitation of mechanical systems. Solution of oscillation problem is obtained; it takes into account an influence of high harmonic constituents on peculiarities of mechanical systems vibration.