The development possibilities of transformation method of structural schemes in tasks of vibroprotection systems'' Dynamics (part ii)

The method of mathematical models' development of oscillatory mechanical systems, including vibroprotection systems, and estimation of possible properties on the basis of mechanical admittance is offered. The definition of mechanical admittance with opportunities to identification at the level of system in general and its fragments is introduced. The approaches for creation of structural mathematical models in the form of dynamic analogs of automatic control systems are shown. The paper offers technology of system creation with allocation of protection object as link with transfer function of the integrating stand ard element of the second order in tasks of vibration protection. The dynamic rigidity of the system is interpreted as strengthening coefficient in a chain of the feedback, covering the object of protection. It is shown that mechanical admittance of the entire system can be represented in view of frequency functions system. The paper provides the graf-analytical method of identification of own oscillations frequencies and characteristic regimes, including frequency of dynamical absorbtion of oscillations. The possible forms of self-organization of joint movements of interacted elements are developed. They occur at «zeroing» of mechanical admittance. The identification method of mechanical admittance is offered. It is based on the transformation of the frequency equation of the system. The article shows the possibilities of direct methods for the construction of the operator forms the dynamic stiffness directly under the scheme of mechanical oscillation system of the chain type. The method is based on the transformations rules of chain theory. The possibilities of using of structures from mass-inertial and elastical elements are shown in transformation of mathematical models and in tasks of estimation of dynamical properties. These structures are offered to consider as quasi-springs. It offers the using of generalized partial systems for solving tasks in systems of more freedom degrees. The results of numerical modeling are given.