Abstract
Rod waveguides are important technical objects that serve to transmit vibrations between machine elements. Such a transfer is determined by their design features and can be both desirable and harmful. The article deals with the problem of modeling the propagation of a monoharmonic wave through a rod waveguide, in which a discontinuity appeared, and a shock pair was formed. The features of the formation of polyharmonic waves and manifested nonlinear effects leading to a fundamental distortion of the dynamic pattern are described. The method of time-frequency analysis of vibration impact processes, which determine the dynamics of the system, is used. A calculation scheme and examples are given.
Highlights
The purpose of this article is to provide methods for calculating and analyzing systems that transmit vibrations through rod systems containing single isolated impact pairs
Impact pairs occur due to some faults, but, they can correspond to the design features of the systems
In ultrasonic technological machines, the workflow is determined by the systematic collisions of the instrument with the medium being processed, and the necessary energy is transferred using rod waveguides
Summary
The purpose of this article is to provide methods for calculating and analyzing systems that transmit vibrations through rod systems containing single isolated impact pairs. The problems associated with the description of the vibration fields arising from the propagation of elastic waves in the constructions of machines modeled by such systems seem to be relevant and have a large number of specific implementations. Impact pairs occur due to some faults, but, they can correspond to the design features of the systems. In ultrasonic technological machines, the workflow is determined by the systematic collisions of the instrument with the medium being processed, and the necessary energy is transferred using rod waveguides. Many studies have been devoted to different approaches to its study, among which we note, for example, [1–9]
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