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- W3114611103 abstract "Results pointed out in this paper, are inspired by papers of O. A. Goroshko and N. P. Puchko (see Ref. [13] and [14]), about Lagrange's equations for the multybodies hereditary systems, and rheological models of the bodes properties presented in the monograph written by G.M. Savin and Ya.Ya. Ruschitsky (see Ref. [24]), as well as a monograph on rheonimic dynamics -written by V.A. Vujicic (see [6]). By using rhelogical body models for designing deformable rheological hereditary elements with hybrid rheological elastoviscosic and/or viscoelastic properties (see Ref. [23], [24] and [18]), discrete oscillatory systems with hereditary elements as constraints, are designed, as systems with one degree of freedom as well as with many degrees of freedom. For these oscillatory hereditary systems, the integro-differential equations of the second and/or third kind are composed. The solutions of these integro-differential equations are studied. Equations of dynamics of a discrete system with finite constraints and standard hereditary elements are composed. Covariant integro-differential equations of the motion of the discrete hereditary system are composed. The rheonomic coordinate method is applied to discrete hereditary systems, and the modified system of the covariant integro-differential equations of motion of discrete hereditary systems with rheonomic constraints are composed. For example, the rheological pendulum on the wool's thread with changeable length is modeled by rheonomic coordinate as well as by rheological hereditary element. By using defined rheological pendulum basic properties of the rheonomic coordinate in the sense of the Vujicic 's, rheonomic coordinate are introduced. The force, as well as the power of the rate of rheological and rheonomic constraints change are determined. ." @default.
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- W3114611103 date "2000-01-01" @default.
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- W3114611103 title "Rheonomic coordinate method applied to nonlinear vibration systems with hereditary elements" @default.
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