10.26731/1813-9108.2018.2(58).27-34
The paper considers the features of dynamical interactions of compound solid bodies in the structure of mechanical oscillation systems at periodical external disturbances. The purpose of the research is to develop a method of constructing mathematical models which could estimate the dynamic conditions of compound solid bodies with unilateral constraints in the contacts. The article uses approaches of structural mathematical modeling, within which a structural scheme of a dynamically equivalent automatic control system is compared to a design scheme of a technical object in the form of a mechanical oscillatory system. The authors offer and develop a technology of identification of static and dynamic responses at the specific connection points of system elements. To identify the constraint responses, transfer functions of the system are used. The paper investigates possible cases of the system loading at kinematical disturbances from the side of the bearing surface. It offers analytical ratios for critical or limiting conditions.
The authors consider possible cases of external vibration loadings including simultaneous action of two external disturbances. The concept of obtaining limiting states is formed. Parameters of these states are identified by the conditions of external disturbances and introduction of additional constraints.
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