Abstract
This study deals with a methodology for increasing the efficiency of dynamic process calculations in elastic elements of complex engineering constructions. We studied the complex dynamic processes in a simple engineering construction, a mechanical system of an elastic body–continuous flow of homogeneous medium. The developed methodology is based on the use of a priori information on some of the vibrations forms, the construction of a “simplified” mathematical model of system dynamics, and the obtaining of an analytical relationship that describe the overall range of factors on the elastic vibrations of system. The methodology is used for cases of complex vibrations of elastic bodies, and the obtained results can serve as a basis for choosing the main technological and operational parameters of elastic elements of mechanisms and machines that perform complex vibrations. The results obtained in this work are the basis for calculating the blast effect on the elements of protective structures in order to increase their protective capacity by improving the method of their attachment or by using additional reinforcement, buff load effects on the elements of drilling strings and dynamic processes that occur during surface strengthening by work hardening in order to avoid resonance phenomena, and technological processes of vibration displacement or vibration separation of granular media.
Highlights
A methodology for researching complex vibrations of the structural elements of the simplest engineering constructions has been developed
The main idea of the methodology is presented using the example of an elastic body that performs bending and longitudinal vibrations, and in addition to that a continuous flow of homogeneous medium (CFHM) of zero stiffness that moves along the body, which greatly complicates the problem of constructing a solution for the mathematical model of elastic body dynamics
A methodological study of complex vibrations has been developed for the mechanical system of an elastic body–continuous flow of homogeneous medium (CFHM)
Summary
A methodology for researching complex vibrations of the structural elements of the simplest engineering constructions has been developed. The main idea of the methodology is presented using the example of an elastic body that performs bending and longitudinal vibrations, and in addition to that a continuous flow of homogeneous medium (CFHM) of zero stiffness that moves along the body, which greatly complicates the problem of constructing a solution for the mathematical model of elastic body dynamics. For this reason, the following issues were predetermined:. The reliability of the obtained calculated dependences is confirmed by the boundary transition from which follow the results known from scientific publications concerning the one form of vibrations of elastic bodies
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