On some peculiarities of generalized rheological body structure. 1
© Ye.M. Bytsan, 2014
The structure of generalized rheological bodies (RB) with arbitrary number of elements was analyzed. It was shown that RBs of
certain order are subdivided into quasielastic and quasivis- cous, each having two classes, depending on whether coefficients
at stress and deformation in rheological equation have the same order. Peculiarities of connection between elastic or viscous elements
and non-degenerated RB were also considered. It was proven that fulfilling the condition of RB
balance ð=ðe+ðc, is a necessary and sufficient condition of nondegenerated
RB, where ðe - difference between the number of elastic and viscous elements,
and ðc - difference between the number of parallel and sequential connections in the RB. It was
shown that the order of nondegenerated RB is determined by the number of viscous elements it contains.
Key words: rheological body, rheological equation, deformation, stress, relaxation, rank, inelasticity, nondegeneracy, wave field, physical medium.