3rd ENOC ProceedingsIndex



Rheonomic coordinate method applied to nonlinear vibration systems with hereditary elements

Katica Stevanovic Hedrih


Faculty of Mechanical Engineering
University of Nis
Home address: Vojvode Tankosica 3/22
18000 Nis
Yugoslavia



Abstract


Results pointed out in this paper, are inspired by papers of O.A. Goroshko and N.P. Puchko, about Lagrange's equations for the multy bodies hereditary systems by G.M. Savin and Ya. Ya. Ruschitsky, as well as a monography on rheonimic dynamics written by V. A. Vujii. By using rhelogical body models for designing deformable rheological hereditary elements with hybrid rheological elastoviscosic and/or viscoelastic properties, 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 second and/or third kind are composed. The solutions of these the multy frequency forced vibrations of the hereditary systems. For example, the rheological properties of the rheonomic coordinate in the sense of the Vujii's rheonomic coordinate are introduced. Theforce, as well as the power of the rate of rheological and rheonomic constraints change are determined.

For the designed discrete hereditary systems with corresponding rheological and relaxational hereditary elements the integrodifferential equations second and/or third kind are composed. On the basis of the analysis of the discrete hereditary oscillatory systems the Goroshko's definition on dynamically determinated or indeterminated discrete hereditary systems was confirmed.



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Contact information


Katica Stevanovic Hedrih

Faculty of Mechanical Engineering
University of Nis
Home address: Vojvode Tankosica 3/22
18000 Nis
Yugoslavia

e-mail: katica@masfak.masfak.ni.ac.yu
Fax: +381 18 41663



3rd ENOC ProceedingsIndex