Development and Verification of a Centrifugal Pump Rotor Model Based on Integrated Multibody Dynamics in the ADAMS Environment Madina Isametova, Rollan Nussipali, Gulbarshyn Smailova, Layla Sabirova, Arailym Tursynbayeva, Laila Sagatova, Denis Tkachenko, Nazym Saidinbayeva Applied Sciences Switzerland, 2025 This study proposes a novel computational method, employing the integral dynamics of multibody systems to simulate the transverse vibrations of the rotor in a cantilever-type centrifugal pump. This method was applied to the kinematic assembly of the rotor and its supports, with the latter modeled as springs possessing stiffness and damping properties equivalent to those of real bearings supporting the shaft in an actual design. To investigate transverse vibrations within the system, three key observation points were defined—at the locations of the left and right bearings, as well as at the rotor’s center of mass—to allow for a thorough dynamic analysis. Additionally, the influence of motor rotational speed and the impeller’s eccentricity on the transverse vibrations of the supports and the shaft was examined. The results have revealed that transverse vibrations significantly affect the system’s dynamics at lower rotational speeds, leading to the classification of the shaft as flexible. As the rotational speed increases, the system exhibits enhanced dynamic stability. Furthermore, it was found that for impellers with a diameter less than 300 mm, the unbalanced forces are negligible and can be disregarded in pump design. To reduce vibration levels, an elastic damping ring was selected and incorporated into the system. This novel method provides an effective tool for analyzing the transverse vibrations of centrifugal pump rotors and for optimizing vibration mitigation strategies.
Numerical study of dynamic contact loads in an eccentric-cycloidal transmission of a transport conveyor drive used in the mining industry , Mukhtarbek Tatybaev, Nazim Saidinbaeva, , Nurgul Seiitkazy, , Aigerim Assan, and Sustainable Development of Mountain Territories, 2025 Introduction. Eccentric–cycloidal gear reducers represent a promising type of drive for mining conveyor equipment due to their high shock resistance, multi-tooth load distribution and tolerance to contamination. However, the dynamic behavior of the contact interaction between the eccentric tooth and the cycloidal wheel has not been sufficiently quantified. This limits their large-scale implementation in heavy industrial environments. A detailed analysis of vibration stability, contact force patterns, and geometric conformity of the tooth profile is required to assess operational reliability. Purpose of the study. The aim of this research is to perform a numerical investigation of dynamic contact forces and vibration processes in an eccentric–cycloidal gear reducer used in mining conveyor drives and to evaluate the geometric conformity of the transmission by means of spectral and time-domain analysis. Materials and methods. A multibody dynamic model was developed in MSC Adams. The reducer geometry was imported from Autodesk Inventor, including real bearing parameters, material properties, inertial characteristics, and kinematic constraints. The tooth contact was described using a nonlinear Hertzian model with damping and Coulomb friction. Simulations were performed at an input speed of 750 rpm, gear ratio i = 9 and load torque of 2 kN·m. Vibration acceleration, contact force histories, frequency spectra, and impulse loads during tooth engagement were analyzed. Results. The acceleration of the eccentric shaft reached 350 mm/s2 due to local oscillations in bearing units, while vibrations in the gear mesh were effectively damped to 0.004 mm/s2. The contact force exhibited a pronounced impulse of approximately 300 N during tooth engagement. Frequency analysis revealed a single dominant harmonic corresponding to the meshing frequency, without additional resonance peaks, indicating high geometric conformity of the cycloidal profile. The minimal contact area reduces the likelihood of pitting and surface chipping. Discussion. The results demonstrate high vibration resistance of the eccentric–cycloidal transmission and its suitability for mining conveyor applications with variable dynamic loads. The impulse nature of the contact force was quantified and shown to be within acceptable limits. Validation on a laboratory conveyor confirmed the accuracy of the numerical model and uniform motion transfer without phase delays. Conclusions. The investigated gear reducer exhibits low dynamic losses, stable load transfer and high vibration resistance. Numerical simulation confirms its potential for reliable operation in mining conveyor drives and its feasibility for replacing traditional gear systems under harsh industrial conditions. General conclusions. The eccentric–cycloidal reducer demonstrates favorable dynamic behavior, with low contact stresses and absence of detrimental resonant harmonics. The results support its further industrial implementation and optimization. Practical significance and future research. The findings may be used for designing energy-efficient conveyor drives, optimizing cycloidal tooth profiles, estimating fatigue life and developing digital twins of gearbox systems. Future research should focus on wear modeling, shaft misalignment effects, and thermo-mechanical behavior of the gear mesh.
Mathematical and computer modeling of gantry crane load-beam system oscillation , Kasym YELEMESSOV, Madina ISAMETOVA, , Nazym SAYDINBAYEVA, , Vladislav KUKARTSEV, and Sustainable Development of Mountain Territories, 2023 Introduction. Gantry grappling cranes are the main equipment for cargo transportation in the technological processes of mining and enrichment of rocks. During the operation of the crane, undesirable effects such as the rocking of the payload occur, which in turn affects the dynamic state of the crane beam. Materials and methods. To solve this problem, methods of mathematical and computer modeling of a system with two degrees of freedom were used. To identify the influence of different combinations of the combination of payload mass and cable length on oscillation frequencies, a computational experiment was carried out and the response surface of the oscillation frequency function was constructed. The natural oscillation frequencies of the beam were determined by the finite element method in the NASTRAN program. Results. The results of mathematical modeling were graphs of changes in the angle of deviation of the cable from the vertical and the movement of the trolley, the response surface of the frequency of oscillation of the payload from the length of the cable and the weight of the cargo. Discussion. A comparison of the simulation results of cargo vibrations and crane beam vibrations showed the proximity of the values of the frequencies of the payload vibrations and the gantry crane design, which justifies the need for further analysis of the frequency response of the crane beam to the disturbance of the payload vibration force. Conclusion. The frequency of vibrations of the load significantly affects the static and vibration strength of the crane beam of the gantry crane Resume. The research results can be useful in the development of technical solutions for the engineering implementation of promising gantry crane designs.
Development of a system for positioning the work of gathering cranes on container spaces of freight stations Journal of Theoretical and Applied Information Technology, 2021