Категории новостей / Публикации

D. Pogorelov, O. Dmitrochenko, G. Mikheev, R. Gandikota. Flexible multibody approaches for dynamical simulation of beam structures in drilling.

Proc. of the ASME 2014 10th Int. Conf. on Multibody Systems, Nonlinear Dynamics, and Control, MSNDC2014, August 17-20, 2014, Buffalo, New York, USA. DETC2014-35113.

Abstract.

Many engineering dynamic problems can be simulated as beam structures. For example, such models are applied in well drilling. Dynamic simulation allows optimizing shape of well bore and operation parameters of the drilling. Calculation speed of simulation of dynamics of a drill string depends on size of matrices of the model and on efficiency of numerical methods.

Two approaches for simulation of dynamics of drill strings are suggested in the paper.

In the first approach, the drill string is presented as a set of uniform beams connected via force elements. Flexibility of the beams is simulated using the modal approach. Thus, each beam has at least twelve degrees of freedom: six coordinates define position and orientation of a local frame and six modes are used for modeling flexibility. For simulation of the drilling processes, implicit Park method with computing Jacobians of stiff forces is used. Parallel computations are implemented for increasing the solver efficiency. Analysis of vibration, rock cutting, buckling and post-buckling behaviour and other processes of the drilling can be successfully modeled using the approach. But it has some disadvantages.

Firstly, number of degrees of freedom could be decreased if a single nonlinear finite element model were used instead of the model including great number of beams. Secondly, simulation of real rotation of the drill string using the modal approach is related to costly calculation of Jacobians. The expressions for the modal coordinate derivatives of the stiff forces are variable since each mode is calculated in the local frame of the beam and rotates together with the frame.

The second approach is dynamic simulation of the drill string using nonlinear finite element model. The proposed beam finite element use Cartesian coordinates of its nodes and node rotation angles around axis of Cartesian coordinate system as generalized coordinates. The nonlinear finite element is developed based on so called method of. Rotation angles in the nodes can be arbitrary large.

Equations of motion of beam structure are derived in the paper. The number of degrees of freedom is decreased by factor two as compared with the modal approach. In addition, the expressions of Jacobians are much simpler in this case.

Thereby, calculation speed under simulation of dynamics of long drill strings is considerably increased.

The features of creating the models and numerical methods as well as results obtained by applying both approaches are discussed in the paper.

 
 
 

Публикации

 Все публикации
 
В. И. Сакало, А. В. Сакало. Кривые контактной усталости рельсовой стали

Вестник ВНИИЖТ. 2024. Т. 83, No2. УДК 625.143 : 620.1 : 539.3

Скачать статью

Caiyou Zhao, Duojia Shi, Junyuan Zheng, Yawen Niu, Ping Wang. New Floating Slab Track Isolator for Vibration Reduction Using Particle Damping Vibration Absorption and Bandgap Vibration Resistance

Electronic copy available at: https://ssrn.com/abstract=4049469

Скачать полный текст статьи (на английском языке)

Подробнее
Keping Zhang, Xiaohui Zhang and Shunhua Zhou. Influence of Lateral Differential Settlement of Subgrade on Dynamic Performance of High-Speed Vehicle System

DOI: 10.1061/(ASCE)EM.1943-7889.0002065. © 2022 American Society of Civil
Engineers.

Скачать полный текст статьи (на английском языке)

Подробнее
Miao Li, Dinggang Gao, Tie Li, Shihui Luo, Weihua Ma, Xiaohao Chen and Laisheng Tong. Dynamic interaction of medium–low-speed maglev train running on the turnout made of steel structures

Vehicle System Dynamics
International Journal of Vehicle Mechanics and Mobility

https://doi.org/10.1080/00423114.2022.2064757

Скачать полный текст статьи (на английском языке)

Подробнее
 
Zheng Fang, Xing Tan, Genshuo Liu, Zijie Zhou, Yajia Pan, Ammar Ahmed, Zutao Zhang. A novel vibration energy harvesting system integrated with an inertial pendulum for zero-energy sensor applications in freight trains

Applied Energy

https://doi.org/10.1016/j.apenergy.2022.119197

Скачать полный текст статьи (на английском языке)

Подробнее
Zhi-Ping Zeng, Yan-Cai Xiao, Wei-Dong Wang, Xu-Dong Huang, Xiang-Gang Du, Lan-Li Liu, Joseph Eleojo Victor, Zhong-Li. The Influence of Track Structure Parameters on the Dynamic Response Sensitivity of Heavy Haul Train-LVT System

Appl. Sci. 2021, 11, 11830. https://doi.org/10.3390/app112411830

Скачать полный текст статьи (на английском языке)

Подробнее
Xianxian Yin, Xiukun Wei, Hong Xiao and Jin Shi. The impact of wheel polygonisation to the railway corrugation

Vehicle System Dynamics
International Journal of Vehicle Mechanics and Mobility

https://doi.org/10.1080/00423114.2021.1916047

Скачать полный текст статьи (на английском языке)

Подробнее
Shaofeng Wang, Yu Qian, Qingsong Feng, Feng Guo, Dimitris Rizos, Xinwei Luo. Investigating high rail side wear in urban transit track through numerical simulation and field monitoring

Wear

https://doi.org/10.1016/j.wear.2021.203643
Скачать полный текст статьи (на английском языке)

Подробнее
 
Yun Yang, Qinglie He, Chengbiao Cai, Shengyang Zhu and Wanming Zhai. Coupled vibration analysis of suspended monorail train and curved bridge considering nonlinear wheel-track contact relation

VEHICLE SYSTEM DYNAMICS
https://doi.org/10.1080/00423114.2021.1918727

Скачать полный текст статьи (на английском языке)

Подробнее
Gang Wang, Yuanjin Ji, Lihui Ren, Han Leng and Youpei Huang. Wheelset lateral force factor and critical offset distance of the centre pivot of articulated train

Vehicle System Dynamics
International Journal of Vehicle Mechanics and Mobility

https://doi.org/10.1080/00423114.2020.1798474

Скачать полный текст статьи (на английском языке)

Подробнее
Kun Luo, Xiaoyan Lei and Xinya Zhang. Vibration Prediction of Box Girder Bridges Used in High-Speed Railways Based on Model Test

International Journal of Structural Stability and Dynamics
DOI: 10.1142/S0219455420500649
Скачать полный текст статьи (на английском языке)

Подробнее
Xianxian Yin, Yidong Hu, Xiukun Wei. Research on the Development of Rail Corrugation in Small Radius Curve of Metro

2020 5th International Conference on Electromechanical Control Technology and Transportation (ICECTT)
DOI 10.1109/ICECTT50890.2020.00114
Скачать полный текст статьи (на английском языке)

Подробнее
 
Zhiqiang Wang, Zhenyu Lei, Yang Zhao and Yao Xu. Rail Corrugation Characteristics of Cologne Egg Fastener Section in Small Radius Curve

Hindawi
Shock and Vibration
https://doi.org/10.1155/2020/1827053
Скачать полный текст статьи (на английском языке)

Подробнее
Gang Wang, Yuanjin Ji, Lihui Ren, Han Leng and Youpei Huang. Performance analysis of a newly designed single air spring running gear for automated people mover (APM)

Vehicle System Dynamics
International Journal of Vehicle Mechanics and Mobility
DOI: 10.1080/00423114.2020.1798475
Скачать полный текст статьи (на английском языке)

Подробнее
Yuanjin Ji, Lihui Ren and Youpei Huang. Passive radial mechanism of a bogie with the auxiliary steering device for the straddle monorail vehicle

Vehicle System Dynamics
International Journal of Vehicle Mechanics and Mobility
DOI: 10.1080/00423114.2020.1755046
Скачать полный текст статьи (на английском языке)

Подробнее
Yongjie Lu, Yun Yang, Jianxi Wang, Bowen Zhu. Optimization and Design of a Railway Wheel Profile Based on Interval Uncertainty to Reduce Circular Wear

Mathematical Problems in Engineering
https://doi.org/10.1155/2020/9579510
Скачать полный текст статьи (на английском языке)

Подробнее
 
Zhenyu Lei, Zhiqiang Wang. Generation Mechanism and Development Characteristics of Rail Corrugation of Cologne Egg Fastener Track in Metro

KSCE Journal of Civil Engineering
DOI 10.1007/s12205-020-1614-9
Скачать полный текст статьи (на английском языке)

Подробнее
Zhenyu Lei, Zhiqiang Wang. Contact and creep characteristics of wheel-rail system under harmonic corrugation excitation

Journal of Vibration and Control
DOI: 10.1177/1077546320953358
Скачать полный текст статьи (на английском языке)

Подробнее
Yuanjin Ji, Lihui Ren. Anti-overturning capacity and critical roll angle of straddling monorail vehicle

Journal of Mechanical Engineering Science
DOI: 10.1177/0954406217753234

Скачать полный текст статьи (на английском языке)

Подробнее
Xianxian Yin, Xiukun Wei, Hong Xiao & Jin Shi. The impact of wheel polygonisation to the railway corrugation

VEHICLE SYSTEM DYNAMICS
https://doi.org/10.1080/00423114.2021.1916047

Подробнее
 
Yun Yang, Qinglie He, Chengbiao Cai, Shengyang Zhu &Wanming Zhai. Coupled vibration analysis of suspended monorail train and curved bridge considering nonlinear wheel-track contact relation

VEHICLE SYSTEM DYNAMICS
https://doi.org/10.1080/00423114.2021.1918727

Подробнее
Xianxian Yin, Xiukun Wei and Haichao Zheng. Applying System Dynamics of Discrete Supported Track to Analyze the Rail Corrugation Causation on Curved Urban Railway Tracks

Hindawi
Discrete Dynamics in Nature and Society
Volume 2021, Article ID 9958163, 21 pages
https://doi.org/10.1155/2021/9958163
Скачать полный текст статьи (на английском языке)

Подробнее
Yongzhi Jiang, Pingbo Wu, Jing Zeng, Xingwen Wu, Xing Wang and Qinglie He. Intelligent batch process method for analyzing the effect of the suspension parameters on the vibration of the suspended monorail

Advances in Mechanical Engineering
DOI: 10.1177/1687814020966421

Скачать полный текст статьи (на английском языке)

Подробнее
Yongzhi Jiang , Pingbo Wu, Jing Zeng, Xingwen Wu, Qinglie He and Xing Wang. Influence of bridge parameters on monorail vehicle–bridge system — A research with multi-rigid body and multi-flexible body coupling theory and Park method

Journal of Low Frequency Noise,
Vibration and Active Control

DOI: 10.1177/1461348420942355
journals.sagepub.com/home/lfn

Скачать полный текст статьи (на английском языке)

Подробнее
 
Dmitry POGORELOV, Alexander RODIKOV. THE TRAPEZOIDAL FINITE ELEMENT IN ABSOLUTE COORDINATES FOR DYNAMIC MODELING OF AUTOMOTIVE TIRE AND AIR SPRING BELLOWS. PART I: EQUATIONS OF MOTION

TRANSPORT PROBLEMS, Volume 16, Issue 2, 2021.
DOI: 10.21307/tp-2021-030

Скачать полный текст статьи (на английском языке)

Подробнее
Ying Song, Lei Liang, Yanliang Du, Baochen Sun. Railway Polygonized Wheel Detection Based on Numerical Time-Frequency Analysis of Axle-Box Acceleration

Applied sciences, 2020. DOI: 10.3390/app10051613

Скачать полный текст статьи (на английском языке)

Подробнее
Yifeng Wang, Ping Wang, Zihan Li, Zhengxing Chen, Qing He. Forecasting Urban Rail Transit Vehicle Interior Noise and Its Applications in Railway Alignment Design

Journal of Advanced Transportation, 2020. Volume 2020 Article ID 5896739. https://doi.org/10.1155/2020/5896739

Скачать полный текст статьи (на английском языке)

Подробнее
Bo Pan, Wei Zhang, Jianqiu Cao, Xueyong Ma, and Mingliang Zhou. Dynamic Responses of Soils around a One-Hole Double-Track Tunnel with the Metro Train Meeting

Hindawi Shock and Vibration Volume 2020, Article ID 1782803, 16 pages https://doi.org/10.1155/2020/1782803

Скачать полный текст статьи (на английском языке)

Подробнее
 
Ying Song, Yanliang Du, Xuemei Zhang, Baochen Sun. Evaluating the Effect of Wheel Polygons on Dynamic Track Performance in High-Speed Railway Systems Using Co-Simulation Analysis

Applied sciences Published: 4 October 2019. DOI: 10.3390/app9194165

Скачать полный текст статьи (на английском языке)

Подробнее
Li Wang, Zigang Deng, Hongdi Wang, Haitao Li, Kaiying Li, Shunshun Ma. Dynamic Responses of HTS Maglev System Under Track Random Irregularity

IEEE Transactions on Applied Superconductivity Volume 30, Issue  4, June 2020. DOI: 10.1109/TASC.2020.2976995

Подробнее
Mingyuan Gaoa, Jianli Cong, Jieling Xiao, Qing He, Shoutai Li, Yuan Wang, Ye Yao, Rong Chen, Ping Wang. Dynamic modeling and experimental investigation of self-powered sensor nodes for freight rail transport

Applied Energy, Volume 257, 1 January 2020, 113969. https://doi.org/10.1016/j.apenergy.2019.113969

Подробнее
Fengtao Lin,Shuang Zhou,Xiaoqing Dong,Qian Xiao,Hai Zhang,Weihao Hu&Lulu Ke. Design method of LM thin flange wheel profile based on NURBS

Vehicle System Dynamics, 2019. https://doi.org/10.1080/00423114.2019.1657908

Подробнее
 
Enli Chen, Xia Zhang and Gaolei Wang. Rigid–flexible coupled dynamic response of steel–concrete bridges on expressways considering vehicle–road–bridge interaction

Advances in Structural Engineering 2019. DOI: 10.1177/1369433219866092

Полный текст статьи

Подробнее
Dmitry Pogorelov, Alexander Rodikov, Roman Kovalev. Parallel computations and co-simulation in Universal Mechanism software. Part II: examples

TRANSPORT PROBLEMS. 2019 Volume 14 Issue 4. DOI: 10.20858/tp.2019.14.4.3

Подробнее
Dmitry Pogorelov, Alexander Rodikov, Roman Kovalev. Parallel computations and co-simulation in Universal Mechanism software. Part 1: Algorithms and implementation

Transport problems. Volume 14, Issue 3, 2019. DOI: 10.20858/tp.2019.14.3.15

Полный текст статьи (на английском языке)

Подробнее
Сакало В.И., Сакало А.В. Критерии для прогнозирования возникновения контактно-усталостных повреждений в колесах железнодорожного подвижного состава и рельсах

Вестник научно-исследовательского института железнодорожного транспорта (Вестник ВНИИЖТ). 2019;78(3):141-148.

https://doi.org/10.21780/2223-9731-2019-78-3-141-148

Подробнее
 
V. Sakalo, A. Sakalo, A. Rodikov, S. Tomashevskiy. Computer modeling of processes of wear and accumulation of rolling contact fatigue damage in railway wheels using combined criterion

Wear. Volumes 432–433, August 2019, 102900

Полный текст статьи доступен бесплатно до 4 сентября 2019 г.

Подробнее
Д.Ю.Погорелов, Н.Н.Лысиков. Силы взаимодействия долота с породой при компьютерном моделировании динамики бурильной колонны

Сетевое издание «Нефтегазовое дело». 2019. №3 УДК 531.39

Полный текст статьи

Подробнее
Hongdi Wang, Zigang Deng , Shunshun Ma, Ruixue Sun , Haitao Li, and Jipeng Li. Dynamic Simulation of the HTS Maglev Vehicle-Bridge Coupled System Based on Levitation Force Experiment

IEEE TRANSACTIONS ON APPLIED SUPERCONDUCTIVITY, VOL. 29, NO. 5, AUGUST 2019

Полный текст статьи

Подробнее
Rang Zhang, Yuanjin Ji, Lihui Ren, Gang Shen. A Straddle Monorail Running Gear with Single-Axle and Rotating Arm Axle Box Suspension

Urban Rail Transit. Published online: 10 October 2017. DOI 10.1007/s40864-017-0067-z

Полный текст статьи

Подробнее
 
Д.Ю. Погорелов. Расчет собственных колебаний бурильной колонны с учетом влияния промывочной жидкости

Сетевое издание «Нефтегазовое дело» 2018. №5. УДК 531.39

Подробнее
Olshevskiy, A., Kulinichev, N., Olshevskiy, A., Kim, C. W., & Yang, H. I. Efficient three-stage approach to fatigue life assessment for transport machines in the context of stilt sprayer performance

Engineering Failure Analysis. Volume 81, November 2017, Pages 10-30 DOI: https://doi.org/10.1016/j.engfailanal.2017.06.028

Полный текст статьи

Подробнее
V. Sakalo, A. Sakalo, S. Tomashevskiy, D. Kerentcev. Computer modelling of process of accumulation of rolling contact fatigue damage in railway wheels.

International Journal of Fatigue, Volume 111, June 2018, Pages 7–15. https://doi.org/10.1016/j.ijfatigue.2018.02.002

Полный текст статьи (доступен бесплатно до 31 марта 2018)

Подробнее
Iman Hazrati Ashtiani. Optimization of secondary suspension of three-piece bogie with bevelled friction wedge geometry

International Journal of Rail Transportation, Published online: 09 Jun 2017 DOI 10.1080/23248378.2017.1336652

Полный текст статьи (бесплатный полный доступ для первых 50 скачиваний)

Подробнее
 
Gennady Mikheev, Dmitry Pogorelov and Alexander Rodikov. Methods of Simulation of Railway Wheelset Dynamics taking into account Elasticity

First International Conference on Rail Transportation, Chengdu, China, July 10-12, 2017

Полный текст статьи

Подробнее
Zhuang QI, Wenlian ZHANG, Pengfei LIU and Qiang LEI. Study on the Dynamics Behaviour and MBS Modeling Method of a Subway Track Detecting Vehicle

First International Conference on Rail Transportation, Chengdu, China, July 10-12, 2017

Полный текст статьи 

Подробнее
Qian XIAO, Chao CHANG, Jifeng ZHENG, Jiao FANG. Prediction of wheel/rail rolling contact wear under the situation of wheel/rail vibration

First International Conference on Rail Transportation, Chengdu, China, July 10-12, 2017

Полный текст статьи 

Подробнее
Jia Xiaohong. Dynamic Performance of Metro Train Passing Through Turnout Branch in Depot

First International Conference on Rail Transportation, Chengdu, China, July 10-12, 2017

Полный текст статьи 

Подробнее
 
Zhihui Chen, Lei Xu, Wanming Zhai. Investigation on the Detrimental Wavelength of Track Irregularity for the Suspended Monorail Vehicle System

First International Conference on Rail Transportation, Chengdu, China, July 10-12, 2017

Полный текст статьи 

Подробнее
Maksym Spiryagin, Qing Wu & Colin Cole. International benchmarking of longitudinal train dynamics simulators: benchmarking questions

Vehicle System Dynamics, Published online: 11 Jan 2017  DOI: 10.1080/00423114.2016.1270457

Полный текст статьи (бесплатный полный доступ для первых 50 скачиваний)

Подробнее
Dmitry Pogorelov et al. Train 3D: the technique for inclusion of three-dimensional models in longitudinal train dynamics and its application in derailment studies and train simulators

Vehicle System Dynamics, Published online: 11 Jan 2017  DOI: 10.1080/00423114.2016.1273532

Полный текст статьи (бесплатный полный доступ для первых 50 скачиваний)

Подробнее
Alexander Olshevskiy, Chang-Wan Kim, Hyun-Ik Yang & Alexey Olshevskiy. Wear simulation for the centre plate arrangement of a freight car

Vehicle System Dynamics: International Journal of Vehicle Mechanics and Mobility. DOI: 10.1080/00423114.2015.1023319

Подробнее
 
Г.О. Котиев, А.С. Дьяков. Метод разработки ходовых систем высокоподвижных безэкипажных наземных транспортных средств

Известия ЮФУ. Технические науки

Подробнее
Горелов В.А., Комиссаров А.И., Мирошниченко А.В. Моделирование колесного транспортного средства 8×8 в программном комплексе автоматизированного анализа динамики систем тел

Международная научно-техническая конференция “Пром-Инжиниринг”, 2015

Подробнее
В. А. Горелов, А. И. Комиссаров, Б. Б. Косицын. Исследование движения автомобиля в программном комплексе автоматизированного моделирования динамики систем тел.

Журнал автомобильных инженеров, №1 (96) 2016, стр. 18-23.

Подробнее
Iman Hazrati Ashtiani, Subhash Rakheja and AKW Ahmed. Influence of friction wedge characteristics on lateral response and hunting of freight wagons with three-piece bogies

Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit 0954409716647095, first published on May 3, 2016.  DOI: 10.1177/0954409716647095.

Подробнее
 
R. Kovalev, A. Sakalo, V. Yazykov, A. Shamdani, R. Bowey & C. Wakeling (2016): Simulation of longitudinal dynamics of a freight train operating through a car dumper

Vehicle System Dynamics, https://dx.doi.org/10.1080/00423114.2016.1153115

Подробнее
Amir Kolaei, Iman Hazrati Ashtiani, Mehrnoosh Abedi, Subhash Rakheja. Applicability of Linear Slosh Theory on Stability of the B-train Combination

IAVSD 2015, Graz, Austria

Подробнее
Iman Hazrati Ashtiani, Subhash Rakheja, A. K. W. Ahmed. Hunting and Derailment Analysis of a Partially-Filled Railway Tank Car

IHHA 2015, Perth, Australia

Подробнее
Iman Hazrati Ashtiani, Subhash Rakheja, A. K. W. Ahmed, Jimin Zhang. Hunting Analysis of a Partially-Filled Railway Tank Car

Joint Rail Conference 2015, San Jose, CA, US

Подробнее
 
Iman Hazrati Ashtiani, A. K. W. Ahmed, Subhash Rakheja, Jimin Zhang. Hunting Characteristics of a Freight Car in Presence of Secondary Suspension Non-Smooth Contact Dynamics

ASME Congress 2014, Montreal, Canada

Подробнее
Iman Hazrati Ashtiani, Mehrnoosh Abedi. Effects of Liquid Cargo on Lateral Stability of B-Train Combination

SAE 2014, Commercial Vehicle Engineering Congress, Illinois, US

Подробнее
Ецков Т.А., Арестова Н.В., Попов П.В. Исследование аэродинамических характеристик скоростного токоприёмника

Вестник ВЭлНИИ №1 (69). - Новочеркасск, ВЭлНИИ, 2015. – с. 27-38

Подробнее
Ецков Т.А. Исследование кинематической схемы асимметричного токоприемника с фиксированным шарниром нижней тяги на основании

Вестник ВЭлНИИ №2 (68). - Новочеркасск, ВЭлНИИ, 2014. – с. 48-59

Подробнее
 
D. Pogorelov, O. Dmitrochenko, G. Mikheev, R. Gandikota. Flexible multibody approaches for dynamical simulation of beam structures in drilling.

Proc. of the ASME 2014 10th Int. Conf. on Multibody Systems, Nonlinear Dynamics, and Control, MSNDC2014, August 17-20, 2014, Buffalo, New York, USA. DETC2014-35113.

Подробнее
D. Pogorelov, G. Mikheev, K. Valiullin, R. Gandikota. Use of multibody system approach for torque and drag analysis of long drill strings.

11th World Congr. on Computat. Mech., July 20-25, 2014, Barcelona, Spain, pp. 688-699.

Подробнее
O. Dmitrochenko, G. Mikheev, D. Pogorelov, R. Gandikota. A nonlinear finite element for simulation of dynamics of beam structures using multibody system approach.

11th World Congress on  Computational Mechanics (WCCM XI), July 20-25, 2014, Barcelona, Spain, pp. 655-666.

Подробнее
Михеев Г.В., Лысиков Н.Н., Погорелов Д.Ю., Круговова Е.А., Кирьян В.И., Мальгин М.Г. Расчет динамической нагруженности и усталостной долговечности железнодорожных мостов методами компьютерного моделирования.

Вестник восточноукраинского национального университета имени Владимира Даля №18(207), 2013, cтр. 184-191.

Подробнее
 
Pogorelov D. Multibody System Approach in Simulation of Underwater Cable Dynamics.

Programme and Abstracts. EUROMECH 398, Colloquium on Fluid-Structure Interaction in Ocean Engineering, Technical University Hamburg-Harburg, Hamburg, Germany, October 11-14, 1999.

Подробнее
Pogorelov D. Differential-algebraic equations in multibody system modeling.

Numerical algorithms, pp. 183-194, 1998.

Подробнее
Klaus-G. Hinzen and Roman Kovalev. Hiller’s seismoscope.

Seismological Research Letters, Volume 81, Number 5, September/October 2010, P. 804-810.

Подробнее
Ковалев Р.В., Федяева Г.А., Федяев В.Н. Моделирование электромеханической системы тепловозов.

Сборник трудов ДИИТа №14, Днепропетровск, ДИИТ, 2007. С. 123-127.

Подробнее