Abstract
The article considers new dynamic effects arising in problems of vibration protection of objects under external disturbances, on the side of support surfaces. A method for constructing mathematical models for a vibration protection system is developed, in which the protection object has two degrees of freedom. It is demonstrated that is possible to introduce additional constraints in the form of motion transformation devices. The article estimates the possibilities of using screw non-locking mechanisms with flywheel nuts, the given moment of inertia of which can be regulated.
Highlights
In the problems of the dynamics of technological machines and vehicles, much attention is paid to the issues of vibrational interactions of elements of mechanical oscillation systems (MOS) [1,2,3,4]
Effects of dynamic damping of oscillations are widely used in various branches of technology [5,6,7,8], which is associated with the study of the features of the dynamic properties of objects [9,10,11], most often selected as a mass-and-inertia element, whose dynamic state is estimated by one coordinate
The problems of analysis and dynamic synthesis of the MOS have been in progress, the methods of structural mathematical modeling have been developed to a lesser extent, oriented toward using the analytical tools of the automatic control theory, which provides great possibilities for estimating the dynamic states of objects having several degrees of freedom [2, 3, 9, 15]
Summary
In the problems of the dynamics of technological machines and vehicles, much attention is paid to the issues of vibrational interactions of elements of mechanical oscillation systems (MOS) [1,2,3,4]. The proposed article develops a methodological basis for constructing mathematical models for vibration protection systems with an object of protection in the form of a solid body that performs a plane motion under the influence of a kinematic perturbation, taking into account that it’s possible to implement dynamic damping modes simultaneously in two coordinates. At a frequency determined by the relation k L = k L , it is possible to simultaneously “nullify” the coordinates y and y , which can be considered as a mode of dynamic damping of the oscillations of the protection object simultaneously in the two coordinates y and y under the kinematic perturbation from the support surface side. The task of the research is to study the possibilities of forming modes of dynamic damping of the object’s oscillations simultaneously in two coordinates, using data on the available forms of a purposeful change in the ratio of the parameters of the systems for configuring the parameters of the dynamic state of the object
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