Фалько, О. Л. (2024) СПРОЩЕНА МЕТОДИКА РОЗРАХУНКУ ПОТУЖНОСТІ ПРИВОДУ ОДНОМАСНОЇ ВІБРАЦІЙНОЇ МАШИНИ. Вісник Національного університету водного господарства та природокористування (3(107)). с. 473-481.

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Анотація

На хімічних, харчових виробництвах та в багатьох інших галузях широко використовуються легкі одномасні вібраційні машини: невеликі віброконвеєри, вібробункери, дозатори, тощо. Для інженерних розрахунків при проєктуванні нового обладнання у статті запропоновано спрощену методику розрахунку необхідної потужності приводу легких одномасних коливних систем у машинах вібраційного руху, що використовуються у різних галузях. Потужність пропонується визначати як добуток усереднених за період коливань робочого органа вібромашини значень сили і швидкості.

Title in English

SIMPLIFIED POWER CALCULATION METHOD DRIVE OF ONE MASS VIBRATING MACHINE

English abstract

Light single-mass vibrating machines are widely used in chemical and food industries and in many other industries: small vibrating conveyors, vibrating hoppers, dispensers, etc. When designing new equipment for engineering calculations to determine the required drive power of the vibratory machine, methods are used that require the work of a sufficiently highly qualified specialist. Therefore, a modern scientific task is to create a simplified method for calculating the required drive power of light single-mass vibrating machines that are used in various industries. In this article, the author offers the following simplified method of calculating power for one- mass vibrating machines. It is proposed to define the power as the product of the driving force and the speed of movement of the working body. Since the movement of the working body is oscillating, the values of the necessary force and speed averaged over the period of oscillations of the working body of the vibrating machine are taken. This is due to the fact that the oscillating system, like a flywheel, has the property of accumulating and releasing mechanical energy, during constant transitions from kinetic to potential and vice versa during oscillating motion. In the most common case, according to known formulas, the values of force and speed during the oscillation period change according to sinusoidal and cosinusoidal laws. In each period of oscillations, the values of these quantities have twice the maximum and minimum values. Therefore, it is rational to find the averaged values of these values for the first quarter of the period of oscillations of the working body at ωt = 0...π/2, which, given the properties of the graphs of these functions, is equivalent to the entire period of oscillations ωt = 0...2π. Thus, in order to determine the values of force and speed averaged over the period of oscillations, it is necessary to find the area described by the equations of these quantities in the area corresponding to the phase angle ωt = 0...π/2, and then divide it by the amount of change in the phase angle in this quarter of the period (0...π/2). Determination of the values of force and speed averaged over the period of oscillation occurs by integration according to known formulas for determining force and speed during oscillatory motion. After multiplying the obtained values of force and speed, the formula for the power of the vibrating machine was obtained. Next, the power formula was divided by the oscillating mass of the vibrating machine and the formula for determining the specific power of the vibrating machine was obtained. The next step is to take into account the efficiency factor of a particular type of vibration drive and as a result we have the final formula. According to this formula, you can conduct engineering calculations when designing single-mass vibrating equipment. Theoretical calculations of specific power values at different values of vibration intensity, frequency and amplitude of oscillations were carried out, graphical dependencies were constructed, and conclusions were drawn.

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