The influence of the main parameters of a dual-mass oscillation system on its dynamic characteristics is examined. The object of the study comprises the oscillation system of a vibration machine, containing two masses, connected by elastic and dissipative elements. A reduction in the instability of the operating mode when changing the load or frequency of the driving force can be achieved by expanding the resonance zone. Mathematical modelling and simulation experiment approaches were used for the research. Based on the results obtained using the mathematical model for dual-mass oscillation system by Matlab-Simulink, an algorithm is proposed that includes a procedure for forming an amplitude-frequency response with an extended resonance zone and describing the influence of the main parameters of the oscillation system on the location and width of the specified resonance zone. It is shown that with an increase in the second mass of the oscillation system, the horizontal section of the amplitude-frequency response declines and shifts to the region of lower frequencies. This is explained by the increasing inertness of the system to the driving force. With a larger initial mass, the gain of amplitude-frequency response was shown to increase, while the width of the horizontal section decreases. Further, with increased stiffness of the first elastic element, the resonance section descends even lower and shifts towards higher frequency values of the driving force; however, the width of the section increases. Therefore, the method of correcting the amplitude-frequency response by introducing additional mass into the structure of an oscillation machine in order to expand its resonance zone with no additional automated devices seems promising. The obtained results may form the basis for a calculation method for energy-efficient resonance oscillation machines.
АННОТАЦИЯ
Введение. Автомобильный транспорт был и остается самым опасным видом транспорта современности. За один год на дорогах нашей страны гибнет около 25 тысяч человек, получа-ют ранения и увечья более 250 тысяч. Каждое третье дорожно-транспортное происшествие
Introduction. The goal is to perform a comparative analysis of energy consumption during the operation of a resonant two–mass mechanical system, depending on the point of application of the driving force to the first or second mass. The object of research is an oscillatory system of a vibrating machine consisting of two masses interconnected by elastic and dissipative elements. In addition, the first mass is connected to a fixed base through elastic and dissipative elements.Materials and methods. The research uses the main provisions of theoretical mechanics, mathematical modeling and simulation experiment in the Matlab-Simulink environment.Results. According to the results of research on a mathematical model of a two-mass oscillatory system with a point of application of the driving force to the first mass, it was found that with a driving force of 10 kN and a frequency of 80 rad/s, the amplitude of the oscillations of the first mass is 0,6 mm, and the second is 1,8 mm, while the amplitude gain is 3,94. To achieve the specified driving force, a directional debalance exciter with a mass of 10 kg of debalances must have an eccentricity of 0,16 m, and the power required to drive the oscillation exciter is 21,2 kW. In the case of applying a driving force to the second mass, it is possible to achieve the same amplitude of oscillations of the first mass (0,6 mm) with a driving force of 5 kN, an eccentricity of 0,078 m and a drive power of 4,9 kW, while the amplitude gain is 8,44.Originality. Thus, due to the dynamic properties of the two-mass system, the option with the point of application of the driving force to the second mass is 4,3 times more energy efficient than the option of applying the driving force to the first mass.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.