Modeling of Dynamics of Nonideal Mixer at Oscillation and Aperiodic Damped Mode of Driving Member Motion
The dynamics of the vibrational mode of motion of the driving member of a nonideal system, a mixing–whipping device based on a simple slide-crank mechanism, was studied. The highly nonlinear differential equations of motion were solved numerically by the Runge–Kutta method. The interaction of the mi...
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2025-07-01
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| author | Kuatbay Bissembayev Zharilkassin Iskakov Assylbek Jomartov Akmaral Kalybayeva |
| author_facet | Kuatbay Bissembayev Zharilkassin Iskakov Assylbek Jomartov Akmaral Kalybayeva |
| author_sort | Kuatbay Bissembayev |
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| description | The dynamics of the vibrational mode of motion of the driving member of a nonideal system, a mixing–whipping device based on a simple slide-crank mechanism, was studied. The highly nonlinear differential equations of motion were solved numerically by the Runge–Kutta method. The interaction of the mixing–whipping device with the nonideal excitation source causes the rotational speed of the engine shaft and the rotation angle of the driving member to fluctuate, accomplishing a damped process. The parameters of the device and the nonideal energy source have an effect on the kinematic, vibrational and energy characteristics of the system. An increase in the engine’s torque, crank length, number and radius of piston holes, and piston mass, as well as a decrease in the fluid’s density, leads to a reduction in the oscillation range of the crank angle, amplitude and period of angular velocity oscillations of the engine shaft and the mixing–whipping force power. The effects of a nonideal energy source may be used in designing a mixing–whipping device based on a slider-crank mechanism to select effective system parameters and an energy-saving motor in accordance with the requirements of technological processes and products. |
| format | Article |
| id | doaj-art-7f20f4d78c06450d8f2b7d60a5903bb0 |
| institution | Kabale University |
| issn | 2076-3417 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj-art-7f20f4d78c06450d8f2b7d60a5903bb02025-08-20T04:00:53ZengMDPI AGApplied Sciences2076-34172025-07-011515839110.3390/app15158391Modeling of Dynamics of Nonideal Mixer at Oscillation and Aperiodic Damped Mode of Driving Member MotionKuatbay Bissembayev0Zharilkassin Iskakov1Assylbek Jomartov2Akmaral Kalybayeva3Joldasbekov Institute of Mechanics and Engineering, Shevchenko Str., 28, Almaty 050010, KazakhstanJoldasbekov Institute of Mechanics and Engineering, Shevchenko Str., 28, Almaty 050010, KazakhstanJoldasbekov Institute of Mechanics and Engineering, Shevchenko Str., 28, Almaty 050010, KazakhstanDepartment of Mathematics and Applied Mechanics of Korkyt Ata Kyzylorda University, Aiteke bi Str., 29A, Kyzylorda 120000, KazakhstanThe dynamics of the vibrational mode of motion of the driving member of a nonideal system, a mixing–whipping device based on a simple slide-crank mechanism, was studied. The highly nonlinear differential equations of motion were solved numerically by the Runge–Kutta method. The interaction of the mixing–whipping device with the nonideal excitation source causes the rotational speed of the engine shaft and the rotation angle of the driving member to fluctuate, accomplishing a damped process. The parameters of the device and the nonideal energy source have an effect on the kinematic, vibrational and energy characteristics of the system. An increase in the engine’s torque, crank length, number and radius of piston holes, and piston mass, as well as a decrease in the fluid’s density, leads to a reduction in the oscillation range of the crank angle, amplitude and period of angular velocity oscillations of the engine shaft and the mixing–whipping force power. The effects of a nonideal energy source may be used in designing a mixing–whipping device based on a slider-crank mechanism to select effective system parameters and an energy-saving motor in accordance with the requirements of technological processes and products.https://www.mdpi.com/2076-3417/15/15/8391dynamic modelingoscillatory motionnonideal systemnonideal sourceslide-crank mechanismmixing and whipping |
| spellingShingle | Kuatbay Bissembayev Zharilkassin Iskakov Assylbek Jomartov Akmaral Kalybayeva Modeling of Dynamics of Nonideal Mixer at Oscillation and Aperiodic Damped Mode of Driving Member Motion Applied Sciences dynamic modeling oscillatory motion nonideal system nonideal source slide-crank mechanism mixing and whipping |
| title | Modeling of Dynamics of Nonideal Mixer at Oscillation and Aperiodic Damped Mode of Driving Member Motion |
| title_full | Modeling of Dynamics of Nonideal Mixer at Oscillation and Aperiodic Damped Mode of Driving Member Motion |
| title_fullStr | Modeling of Dynamics of Nonideal Mixer at Oscillation and Aperiodic Damped Mode of Driving Member Motion |
| title_full_unstemmed | Modeling of Dynamics of Nonideal Mixer at Oscillation and Aperiodic Damped Mode of Driving Member Motion |
| title_short | Modeling of Dynamics of Nonideal Mixer at Oscillation and Aperiodic Damped Mode of Driving Member Motion |
| title_sort | modeling of dynamics of nonideal mixer at oscillation and aperiodic damped mode of driving member motion |
| topic | dynamic modeling oscillatory motion nonideal system nonideal source slide-crank mechanism mixing and whipping |
| url | https://www.mdpi.com/2076-3417/15/15/8391 |
| work_keys_str_mv | AT kuatbaybissembayev modelingofdynamicsofnonidealmixeratoscillationandaperiodicdampedmodeofdrivingmembermotion AT zharilkassiniskakov modelingofdynamicsofnonidealmixeratoscillationandaperiodicdampedmodeofdrivingmembermotion AT assylbekjomartov modelingofdynamicsofnonidealmixeratoscillationandaperiodicdampedmodeofdrivingmembermotion AT akmaralkalybayeva modelingofdynamicsofnonidealmixeratoscillationandaperiodicdampedmodeofdrivingmembermotion |