Application of energy method for determining loss factor in dynamic systems with hysteretic damping

摘要

The article studies the energy method for determining loss factor due to hysteretic damping in systems of vibration and seismic isolation. Typical measure of damping is tan Φ, where Φ is the phase angle between stress and strain sinusoids, or damping constant δ (σ =π tan Φ). Both of these parameters are acquired through experimental investigations for each type of boundary conditions or element's cross section. Proposed energy method is capable of loss factor ψdetermination for different types of beams based on only one experimental investigation. This method is used in the paper to determine the damping ratio of elastic element in vibration isolation system of precision equipment.