Scientific and Methodological Approach for the Identification of Mathematical Models of Mechanical Systems by Using Artificial Neural Networks

Pavlenko, Ivan; Trojanowska, Justyna; Ivanov, Vitalii; Liaposhchenko, Oleksandr

doi:10.1007/978-3-319-91334-6_41

Cited by 49 publications

(11 citation statements)

References 11 publications

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“…Probability of occurrence of the point M in area B of reliable operating state of the pump can be specified by the following formula: (12) Average lifetime of the automatic axial-balancing device is calculated by the following formula:…”

Section: Methodsmentioning

confidence: 99%

“…Effective modes of axial balancing of centrifugal pump rotor are obtained, as well as new design solutions of balancing devices based on hydrostatic seals, as well as the development of the procedure for numerical simulation of the automatic balancing device under the condition of minimal energy losses are presented in paper [11]. General approach for using artificial neural networks for dynamic analysis of the rotors is presented in work [12].…”

Section: Literature Reviewmentioning

confidence: 99%

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Estimation of the Reliability of Automatic Axial-balancing Devices for Multistage Centrifugal Pumps

Pavlenko

Trojanowska

Gusak

et al. 2018

Period. Polytech. Mech. Eng.

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The permanent increase of operating parameters of modern multistage centrifugal pumps requires more precise modelling for estimation their dynamic reliability and needs to develop new approach and methodology for the related calculations. It is necessary to change the approach assuming empirical coefficients to another one based on the probabilistic design for analysis of reliability for pumps and their nodes. In this case, the probabilistic parameters of the design features and fluid flow are significant for the calculation (e. g. geometry of gap seals, boundary conditions, material properties) and should be considered. The automatic axial-balancing device of the rotor is one of the most important nodes of multi-stage centrifugal pumps. It operates as the balancing disc for the axial force up to 1 MN. This paper presents the methodology for the numerical calculation of the balancing disc and its influence on the reliability of multistage centrifugal pumps. The proposed approach is based on the criterion of the permissible amplitudes of axial oscillations of the rotor with the automatic axial-balancing device considering probabilistic origin of main geometrical, hydromechanical and operating parameters.

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Section: Methodsmentioning

confidence: 99%

Section: Literature Reviewmentioning

confidence: 99%

Estimation of the Reliability of Automatic Axial-balancing Devices for Multistage Centrifugal Pumps

Pavlenko

Trojanowska

Gusak

et al. 2018

Period. Polytech. Mech. Eng.

Self Cite

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show abstract

“…Complicated nonlinear dependencies describing the mass transfer process can be numerically calculated using the artificial intelligence systems based on the generalized approach presented in Reference [20]. Additionally, research work [21] was devoted to decreasing the complexity of the practical use of empirical constants and their applicability to specific conditions.…”

Section: Literature Reviewmentioning

confidence: 99%

Ensuring the Reliability of Pneumatic Classification Process for Granular Material in a Rhomb-Shaped Apparatus

et al. 2019

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This article is devoted to a detailed description of the developed physical model of the pneumatic classification process for detecting the rotating suspended layer and ensuring the frequency of loading and unloading of a pneumatic classifier. The related mathematical model is developed for estimating the non-stationary concentration of fine particles in a gas-dispersed flow with respect to time and height of the working space of the apparatus. The research is aimed at developing a pneumatic classification method for granular materials using a rhomb-shaped apparatus and ensuring the reliability of the operating process based on the influence of the flow on the granular material concentrations. The obtained experimental results allow evaluating the rational geometrical parameters of the working space in pneumatic granulators, as well as verifying the proposed mathematical model based on the implementation of the quasi-linear regression procedure. It is shown that the rhomb-shaped pneumatic classifier provides effective separation of granular material, reaching up to 95% of the target fraction. As a result, the proposed methodology can be implemented for optimizing geometrical profiles of pneumatic classifiers in terms of defining the required technological parameters of the pneumatic classification process.

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“…Methods of nonlinear identification of stiffness characteristics of bearing supports were also developed in the works [8,9,10]. Upto-date trends in the field of rotor dynamics analysis are discovered in the research papers [11,12,13].…”

Section: Literature Reviewmentioning

confidence: 99%

Ensuring the Vibration Reliability of Rotors Connected by Spline Joints

Verbovyi

Neamțu

Sieryk

et al. 2019

JES

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This article is devoted to the development of refined numerical mathematical models of rotor dynamics of high-performance turbomachines having a spline connection. These models consider the dependence of the critical frequencies of the shaft on the angular stiffness of the spline connection, as well as the procedure of virtual balancing. As a result of the complex application of this approach, the methods of calculation of vibration characteristics taking into ac-count variable values of angular rigidity of splined connection are offered. In addition, the method of evaluating the system of initial imbalances with the corresponding displacements of the rotor axis in the correction and calculation sections has also been improved. The proposed approaches, based on the integrated application of CAE software and computational intelligent systems, allow for modal and harmonic analysis and implement virtual balancing with a significant reduction in preparation and machine time without loss of relative accuracy. In addition, the developed mathematical model of free and forced vibrations of rotor systems have been implemented in the program code operational files “Critical Frequencies of the Rotor” and “Forced Oscillations of the Rotor” of the computer algebra system MathCAD that allows improving the dynamic balancing procedure for evaluating primary imbalances. The high accuracy of the proposed approach is confirmed by checking the dynamic deviations of the rotor axis by the system of residual imbalances in accordance with the standards of vibration stability. Keywords: turbomachine, spline connection, angular stiffness, virtual balancing, modal analysis, harmonic analysis.

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Scientific and Methodological Approach for the Identification of Mathematical Models of Mechanical Systems by Using Artificial Neural Networks

Cited by 49 publications

References 11 publications

Estimation of the Reliability of Automatic Axial-balancing Devices for Multistage Centrifugal Pumps

Estimation of the Reliability of Automatic Axial-balancing Devices for Multistage Centrifugal Pumps

Ensuring the Reliability of Pneumatic Classification Process for Granular Material in a Rhomb-Shaped Apparatus

Ensuring the Vibration Reliability of Rotors Connected by Spline Joints

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