Eliseev S.V., Trofimov A.N., Bolshakov R.S. Machine vibrations and dynamics: design schemes, structures and mathematical models. Part II
Machine vibrations and dynamics: design schemes, structures and mathematical models. Part II
Eliseev S.V., Trofimov A.N., Bolshakov R.S.
The paper considers the issues concerning the methodological basis for the tasks of designing mathematical models of dynamical processes in machines, equipment and apparatus interacting with the active external environment. Part I of the paper presents the generalization results of the current situation, as well as a number of statements about the future course of development in the context of vibration protection for technical facilities. The other part of the paper aims at figuring out a number of new definitions which arise in generalizing the methods of mathematical modeling for mechanical vibratory systems. A mathematical model can be represented by a structural analog of differential linear equations when considering dynamics tasks of technical facilities related to developing the ways and means of vibration protection. Therefore, a mechanical vibratory system can be considered as an equivalent automation control system.
Keywords: mechanical vibratory systems, the ways and means of vibration protection, elemental links, structural schemes.
References
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«Engineering industry and life safety» №3 (21), 2014. Pages: 59-68
Eliseev Sergey Viktorovich – Professor, Irkutsk State University of Railway Transport, Irkutsk, Russia. E-mail: eliseev_s@inbox.ru
Trofimov Andrey Narjevich – PhD, Irkutsk State University of Railway Transport, Irkutsk, Russia. E-mail: trofimov_an@irgups.ru
Bolshakov Roman Sergeevich – Junior Researcher, Irkutsk State University of Railway Transport, Irkutsk, Russia. E-mail: bolshakov_rs@mail.ru
Eliseev S.V., Trofimov A.N., Bolshakov R.S. Machine vibrations and dynamics: design schemes, structures and mathematical models. Part I
Machine vibrations and dynamics: design schemes, structures and mathematical models. Part I
Eliseev S.V., Trofimov A.N., Bolshakov R.S.
Some of the methodological conditions of mathematical models in tasks of machines dynamics are discussed. Is shown that at all complexity of technical objects their formalized models in engineering practice often are considered abreast of systems with relatively of small number of degrees of freedom. Review of the methods in the estimation of properties of mechanical oscillation systems which are widely used as a design schemes of different technical objects, allows more clearly to determine the generalized representations about dynamical processes which are implemented in system with feedback ties. Technology of system consideration of tasks of constructions of mathematical models in form structure schemes equivalent in dynamical relation of automation control systems are offered. Directions of development of methods and means to ensuring the vibration protection objects are identified that associated with the expansion of the basic concepts of automation control theory. In first part is shown that design schemes of objects of transport dynamics at complication of technical objects begin to represent more advanced forms of dynamical interactions which creature new ties. Such ties is implemented as special constructional elements in form levers of different types, intermediate devices and large fragment of system.
Keywords: structure models of vibration protection systems, the extension of a typical elements set, structure transfor-mations, movement transformation devices, lever connections and mechanisms.
References
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«Engineering industry and life safety» №2 (20), 2014. Pages: 48-60
Eliseev Sergey Viktorovich – Professor, Irkutsk State University of Railway Transport. E-mail: eliseev_s@inbox.ru
Trofimov Andrey Narjevich – PhD, Irkutsk State University of Railway Transport. E-mail: trofimov_an@irgups.ru
Bolshakov Roman Sergeevich – Junior Researcher, Irkutsk State University of Railway Transport. E-mail: bolshakov_rs@mail.ru
Ermoshenko Y.V., Bolshakov R.S., Kaimov E.V. Dynamic response in the vibration-protection system assessment
Dynamic response in the vibration-protection system assessment
Ermoshenko Y.V., Bolshakov R.S., Kaimov E.V.
The paper considers dynamic response identification method in mechanical vibration systems. Dynamic reactions between inertial-mass and connecting elements (springs and dampers) as well as reactions in contacts with bearing surfaces are determined on the basis of obtaining reduced rigidities. These parameters are determined during the transformation of structural models of initial design schemes. The approach under discussion is based on structural concept of mechanical vibration systems. They are transformed into corresponding structural schemes of automatic control systems. When you select an object for the constraint force calculation as the second-order integrator which corresponds to the object to protect in vibration-proof systems, for example, the feedback physically corresponds to the dynamic response. The examples are given. The technique for performing required changes and obtaining analytical relations for dynamic connection response determination is developed.
Keywords: method of definition of dynamic reactions at vibration influences, vibroprotection systems, transfer functions.
References
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«Engineering industry and life safety» №4 (18), 2013. Pages: 50-62
Ermoshenko Yulia Vladimirovna – Ph.D., Irkutsk State University of Railway Transport, Irkutsk, Russia. E-mail: ermosh_emf@irgups.ru
Bolshakov Roman Sergeevich – Graduate student, Irkutsk State University of Railway Transport, Irkutsk, Russia. E-mail: bolshakov_rs@mail.ru
Kaimov Evgeniy Vitaljevich – Graduate student, Irkutsk State University of Railway Transport, Irkutsk, Russia. E-mail: eugen-kaimov@yandex.ru
Eliseev S.V., Artyunin A.I., Bolshakov R.S. Some questions of dynamics of interactions in mechanical systems with lever ties
Some questions of dynamics of interactions in mechanical systems with lever ties
Eliseev S.V., Artyunin A.I., Bolshakov R.S.
New approaches in formation of mathematical models of mechanical oscillation systems are considered. Is shown that general mathematical model in form of structural scheme of the equivalent in dynamical ratio of automatically control system. Models transformation permits to open for analysis dynamical interactions features between partial systems and type elemental part. Transformation structural schemes algorithms are offered which allow to secure calculation of lever ties which has rotation center in plane motion. And is shown that protection object is separated in oscillation system, remaining part of system can be curtailed in some structural “compact” which has features of generalized spring or dynamical elasticity.
Keywords: lever ties in dynamical systems, structural interpretations of mechanical systems, generalized tasks of vibroprotection and vibroisolation.
References
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- Eliseev S.V., Khomenko A.P., Upir R.Y. Mechatronics vibroprotection systems with lever connections // Modern technologies. Systems analysis. Modelling, 2009, № 3 (23). – P. 104-119.
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«Engineering industry and life safety» №4 (14), 2012. Pages: 36-45
Eliseev Sergey Viktorovich – Professor, Irkutsk State University of Railway Engineering, Irkutsk, Russia. E-mail: eliseev_s@inbox.ru
Artyunin Anatoliy Ivanovich – Professor, Irkutsk State University of Railway Engineering, Irkutsk, Russia. E-mail: artyunin_ai@irgups.ru
Bolshakov Roman Sergeevich – Graduate student, Irkutsk State University of Railway Engineering, Irkutsk, Russia. E-mail: bolshakov_rs@mail.ru
Eliseev S.V., Kashuba V.B., Bolshakov R.S. Possible influence of external factors on the reduced stiffness of the system
Possible influence of external factors on the reduced stiffness of the system
Eliseev S.V., Kashuba V.B., Bolshakov R.S.
Approach of change of dynamical condition of vibroprotection systems through introduction of additional connection force influence are considered. Such approach accordances to form of automatical control by force of influence. Key moment in formation of offering method is presence two (at least) external influences in relation which are supposed installation possibility of function tie. Usually form of tie are considered in the form constant coefficient between amplitude meaning of external influences. Sign of coefficient is taken into account. Change coerced rigidities possibilities are shown that is change her parameters at different coefficients of tie. Influence processes on state ties of systems related to change frequencies own oscillations possibilities, dynamical absorbtion regimes and other.
Keywords: vibroprotection system, control to the influence, dynamical absorbtion of oscillations.
References
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«Engineering industry and life safety» №3 (13), 2012. Pages: 46-52
Eliseev Sergey Viktorovich – Professor, Irkutsk State University of Railway Transport, Irkutsk, Russia. E-mail: eliseev_s@inbox.ru
Kashuba Vladimir Bogdanovich – Ph.D., Director of Technopark Bratsk State University, Irkutsk, Russia. E-mail: plemja@rambler.ru
Bolshakov Roman Sergeevich – graduate student, Irkutsk State University of Railway Engineering, Irkutsk, Russia. E-mail: bolshakov_rs@mail.ru