Analysis of the interaction of finite-dimensional surface vibrators with a compacted linear-viscous-elastic medium

This paper develops an approach to solving problems about the excitation of vibrations/vibrations by sources waves in linear-viscous-elastic media modeling compacted concrete/building mixtures with depth-variable mechanical characteristics. An analysis contact stresses and forces occurring under oscillating stamp, types generated medium on its surface, energy carried each type wave for different vibration are discussed. The previously described but unspecified such problems, phenomena resonance deep layers great thickness eigenmovement stamps themselves proposed. We present technique reducing problem dynamic interaction finite-dimensional surface vibrosources possible ways solution. It is important comprehensively investigate peculiarities vibrations stamp-elastic/linear-viscous-elastic system, integral equations arising here a serious obstacle research. Attempts circumvent these difficulties give rise number approximate, "engineering" approaches, within which response (compacted vibrating field concrete/concrete mixture) modeled elastic viscoelastic (damping) links some "attached mass". characteristics elements value attached mass selected, as rule, from experimental data. oscillations system resulting this determined usual theoretical methods mechanics. Such especially widely used construction calculations. gives possibility determine static settlement structures sufficient accuracy provides satisfactory results at certain, fixed frequency. When analyzing wide range frequencies, substantially infinitely measurable own resonances complex dispersion properties, therefore cannot be approximated finite set springs. In order identify characteristic features dynamics massive linear basis we out: calculations using equations; numerical identified qualitative effects.