Abstract

Offering method of transformation of mathematical models of oscillation systems based on using of structural schemes. Structural analogs of mathematical models used for creature of variants of transfer functions of initial mechanical systems. Technology of transformation of structural schemes with object which has properties of integrated link of second order. Is shown that impedance is local characteristic of frequence dynamical properties of mechanical oscillation systems, in particular, vibration protection systems. Characteristics-analogs of impedance are given. They constructed on base using of movements and accelerations of allocated points. Conditions of ties of relative frequence characteristics are given. Conditions of compatibility of structural models of mechanical chains theory and automation control theory are identified.

Highlights

  • Design scheme in view of mechanical chain and structural schemes of equivalent in dynamical ratio of automation control systems are widely used in solving tasks of machines mechanics [4,9,10,16]

  • Interesting applications of structural theory appeared in solving of tasks of vibration protection of machines and equipment, transport dynamics that reflected in a number of papers [2,13,17]

  • Rigid body m1 or m2 depending from features of tasks of dynamical synthesis can act in quality of protection object

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Summary

Шинжлэх Ухааны Академийн Мэдээ

[1,7,18]. Generalized approach to choice of transfer forms is developed in offering article. In offering research generalized approach is developed Within the such approach impedance is considered as some local (or individual characteristics) which use in realizations of methods of structural mathematical modeling. At the same time many questions yet have not received due detailed elaboration of representations about possible borders of analogies Such problems arise at research of mechanical oscillatory systems with lever communications and mechanisms. We will notice that an impedance, within the limits of the structural theory vibroprotection systems transfer function of system Structural scheme transformations open communications between considered characteristics of dynamic properties, and important for structural modelling of possibility of introduction in consideration of typical elementary links VPS with transfer functions of integrating links of the first sort. That is the impedance and the coerced stiffness of the generalized spring are connected among themselves by a parity (14)

In turn
As to parity use
CONCLUSIONS
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