Problems of the Dynamics and Vibration Interactions of Elements of Machines and Mechanisms: Dynamic Interactions Under Vibration Loads

Introduction

The problems of the dynamics of technological machines and transportation vehicles differ in complexity and variety, which has found its way into the formation and development of a theoretical basis, represented by an interdisciplinary scientific space. Modern machine science is based on the methods of theoretical mechanics, the theory of dynamical systems, the theory of oscillations, the theory of mechanisms and machines, the theory of automatic control, methods of mathematical modeling and information technologies.

Modern machines and equipment operate under conditions of intense dynamic loading, accompanied by the action of vibration factors of various physical nature. In general, for machine science, the problems of ensuring safety and reliability in conditions of vibration effects are topical (Antipov, 2006) and are developed in various directions of the general plan and in attention to the tasks of detailing the influence of dynamic factors on the functioning of power transmissions, aggregates, assemblies and machine parts (Zinoviev & Bessonov, 1964).

Attention to various forms of manifestation of vibrational interactions is typical for problems of vibration protection of machines and equipment, which was reflected in (Goverdovsky & Trofimov, 2009). Theoretical and applied developments related to the problems of vibration protection of machines, equipment and apparatus are presented in (Rakov & Sinev, 2011). The problems of controlling the oscillations of technical objects and developing methods and means for controlling the dynamic state of mechanical engineering objects under vibrations has become the topical direction of research in the problems of the dynamics of machines and mechanisms (Belokobylsky, Eliseev & Sitov, 2013; Belokobylsky, Eliseev & Kashuba, 2013; Wolfson, 2008). Attention to the problems of searching for and developing methods and means of protecting various technical objects from vibrations and shocks found its way in (Eliseev et. al., 2008), which considered the features of dynamic synthesis, vibration protection devices of various constructive and technical forms and purposes. Despite the variety of problems solved in the field of dynamic interactions of machine elements and mechanisms which determine the parameters of movement of units and the resulting loads specifying the possibilities for reliable operation and operational safety, the general basis for estimating the dynamic state is the methods of mathematical modeling. Within these representations, real engineering facilities and technical systems are displayed by computational schemes in the form of mechanical oscillatory systems containing composite elements with distributed and lumped parameters (Kamaev, 2005; Samarsky & Mikhailov 2002; Sovetov & Yakovlev, 2001; Belokobylsky & Eliseev, 2016).

Of course, while evaluating the formation of a theoretical basis in solving the problems of machine dynamics, such a position is quite a private one. This influences the features of the evaluation of vibrational dynamic interactions, characteristic, to a greater extent, to the tasks of vibration protection.

At the same time, considering mechanical engineering objects as the computational schemes whose dynamic state is associated with various forms of vibrational interactions, based on a detailed study of the dynamics of mechanical oscillatory systems consisting of elastic, dissipative and mass-and-inertia elements with lumped parameters, has become quite widespread in engineering practice (Vargunin et. al., 2006; Wolfson, 2013; Eliseev & Ermoshenko, 2010; Eliseev & Khomenko, 2014; Eliseev et. al., 2013).