The development possibilities of transformation method of structural schemes in tasks of dynamics of vibroprotection systems (part I)

The research proposes the method of creature of mathematical models of oscillation mechanical systems, including vibration protection systems, and estimation of possible properties on base of dynamical rigidity. The article introduces the definition of dynamical rigidity with possibilities to identification on level of entire system and its fragments. It shows the approaches for creature of structural mathematical models in view of dynamical analogs of automation control systems. They offer the technology of creature of system with allocation of protection object as link with transfer function of integrated typical element of the second order in tasks of vibration protection. It interprets the dynamical rigidity of system as an amplification factor in feedback tie chain of protection object. The authors analyze the dynamical rigidity of the entire system in view of frequency functions system. It offers graph-analytical method of identification of own oscillations frequencies and characteristic regimes. It includes frequency of dynamical absorption of oscillations. The possible forms of self-organization of joint movements of interacted elements are developed. They occur at «zeroing» of dynamical rigidity. The work suggests the method of identification of dynamical stiffness, which bases on transformations of frequency characteristic equation of system. It provides the possibilities of straight methods of creature of operator forms of dynamical stiffness's directly on scheme of mechanical oscillation system of chain type. The method bases on transformations rules of chain theory. The article considers the possibilities of using in transformation of mathematical models and in tasks of estimation of dynamical properties of structures at mass inertial and elastically elements. It proposes to consider these structures as quasi-springs. It is necessary to use generalized partial systems for solving tasks in such systems. The results of numerical modeling are given.