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- W3088971911 abstract "In this paper the rheological-dynamical theory of the analytical dynamics of discrete visco-elasto-plastic system is presented. The rheological-dynamical analogy (RDA) has been developed on the basis of mathematical-physical analogy between the rheological model and the discrete dynamical model with viscous damping and is aimed to be used for the analysis of inelastic deforming of materials and structures. In this presentation, the coupled initial conditions of the stress-strain state of the rheological visco-elasto-plastic model are applied for the study of discrete dynamics system. Mechanical systems that have their masses and elastic forces distributed, such as cables, rods, beams, plates, etc., rather than lumped together in concentrated masses by springs belong to this class of vibrations of continuous media. These systems consist of an infinitely larger number of particles, and hence require an infinitely large number of coordinates to specify their configurations. These notes give an example illustrating how discrete model can be derived from special limits of the continuum model using the principle of analogy. This technique is useful because discrete model is often much easier to deal with than continuum model, both conceptually and computationally." @default.
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- W3088971911 date "2007-01-01" @default.
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- W3088971911 title "The rheological-dynamical harmonic oscillator" @default.
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