Cezary Orlikowski - Publications - Bridge of Knowledge

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Year 2014
Year 2013
  • A simplified model of 3-D pipe system conveying flowing liquid
    Publication

    The paper presents a model reduction technique of a 3-D pipe system with flowing liquid. In the analysis and design of control (mechatronic) systems it is useful to work with simple, low order models. A hybrid reduced order model is proposed. The system model consists of two parts, the modal model and the finite element model.

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  • Hybrid model of geared rotor system
    Publication

    In the paper a hybrid model of a geared multirotor system has been developed. The model is obtained by application of both the modal decomposition methodology and the spatial discretization method. Reduced modal model was constructed for the system without gyroscopic and damping effects. The gyroscopic interaction, damping and other phenomena which are difficult to include in the modal approach were modeled by application of simply...

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  • HYBRID REDUCED MODEL OF ROTOR

    In the paper, the authors describe the method of model reduction of a rotor system. The proposed approach enables to obtain a low order model including e.g. nonproportional damping or the gyroscopic effect. This method is illustrated using the example of a rotor system. First, a model of the system was built without gyroscopic and damping effects by using the rigid finite element method. Next, this model was reduced. Finally, two...

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  • Model hybrydowy układu wielowirnikowego z przekładnią
    Publication

    - Year 2013

    W pracy przedstawiono metodę redukcji modelu układu wielowirnikowego z przekładnią, w którym uwzględniono zmienną prędkość kątową wirników, oddziaływania żyroskopowe, nieproporcjonalne tłumienie oraz nieliniowość podatności zazębienia. Zaproponowano hybrydową metodę modelowania, w której zastosowano: dekompozycję modalną oraz dyskretyzację przestrzenną. Zredukowany model modalny zbudowano dla części rozważanego układu, w której...

  • Modelling of Geared Multi-Rotor System
    Publication

    In the paper the method of modelling a speed-varying geared rotor system is presented. The proposed approach enables us to obtain an accurate low-order lumped parameter representation of the investigated system. The final model consists of reduced modal models of an undamped beam/torsional shaft system as well as a spatially lumped model of other linear and nonlinear phenomena including gear mesh interaction.

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  • SIMPLIFIED DYNAMIC MODEL OF ROTATING BEAM
    Publication

    In the paper a hybrid model of rotating beam is presented. It was obtained by using two methods: modal decomposition and spatial discretization. Reduced modal model was built for the system without the load related to inertia forces that occur during beam rotation. This inertia load was next modeled by using the method of simply spatial discretization and combined with reduced modal model. This approach allows to obtain accurate...

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Year 2011
  • Modelling and analysis of beam/bar structure by application of bond graphs

    The paper presents an uniform, port-based approach to modelling of beam/bar systems (trusses). Port-based model of such distributed parameter system has been defined by application of the bond graph methodology and the distributed transfer function method (DTFM). The proposed method of modelling enables to formulate input data for computer analysis by application of the DTFM. The constructed computational package enables the frequency...

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  • Modelling method for a class of distributed-lumped parameter systems
    Publication

    - Year 2011

    The paper presents an alternative approach for modelling and order reduction of continuous system. The proposed methodology combines application of two methods: the modal decomposition method and the rigid finite element method. The given continuous structure is divided into 1D continuous substructures. For each 1D substructure modal decomposition and reduction procedure is applied. Interactions between substructures are described...

  • Software tool for modelling of mechatronic systems with elastic continua
    Publication

    - Year 2011

    The paper presents a systematic computational package for modelling and analysis of complex systems composed of multiple lumped and distributed parameter subsystems. The constructed computer program enables the frequency domain analysis of a class of linear systems and to obtain reduced order model in the form of bond graph. Obtained modal bond graph can be directly exported into 20-Sim package to further processing including nonlinear...

Year 2010
  • Application of the distributed transfer function method and the rigid finite element method for modelling of 2-D and 3-D systems
    Publication

    In the paper application of the Distributed Transfer Function Method and the Rigid Finite Element Method for modelling of 2-D and 3-D systems is presented. In this method an elastic body is divided into 1-D distributed parameter elements (strips or prisms). The whole body (divided into strips or prism) is described by a set of coupled partial differential equations. Solving this equations in the state space form it is possible...

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  • Computational algorithm for the analysis of mechatronic systems with distributed parameter elements
    Publication

    The paper presents a systematic computational package for analysis of complex systems composed of multiple lumped and distributed parameter subsystems. The algorithm is based on the transfer function method (DTFM). With this algorithm, a bond graph technique for the modelling is developed to simplify computations. Analysis of different systems requires only changing the inputs data in the form of the bond graph diagram

  • Hybrid, Approximate Models of Distributed-Parameter Systems
    Publication

    - Year 2010

    The paper introduces the method of distributed-parameter systems modelling. It enables to obtain low order modal model of the system that experiences Coriolis acceleration component and gyroscopic effect. In such cases, corresponding system equations are non-self-adjoined. To solve this problem modal reduced model is built up for the system without Coriolis acceleration or gyroscopic effect terms. These phenomena are next included...

  • Hybrid Reduced Model of Continuous System

    The paper introduces an alternative method of modelling and modal reduction of continuous systems. Presented method is a hybrid one. It combines the advantages of modal decomposition method and the rigid finite element method. In the proposed method continuous structure is divided into one-dimensional continuous elements. For each 1D element modal decomposition and reduction is applied. Interactions between substructures are...

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  • Modal Reduction and Analysis of Gyroscopic Systems
    Publication

    The paper introduces the method of the modal reduction of systems that experience the Coriolis acceleration or gyroscopic effect component. In such cases corresponding system equations are non-self-adjoined. To solve the problem modal reduced model is built up for the system without Coriolis acceleration or gyroscopic effect terms. These phenomena are included by application of any lumping technique. Hence, the final reduced model...

  • Modelling of Mechatronic Systems with Distributed Parameter Components
    Publication

    - Year 2010

    The paper presents an uniform, port-based approach to modelling of both lumped and distributed parameter systems. Port-based model of distributed system has been defined by application of the bond graph methodology and the distributed transfer function method (DTFM). The proposed method of modelling enables to formulate input data for computer analysis by application of the DTFM. The computational package for the analysis of complex...

  • Modelling of pipes conveying flowing liquid
    Publication

    - Year 2010

    The paper introduces the method of modal reduction of system which consists of pipe with flowing liquid. The concept of hybrid model is proposed. The system model consists of two parts, the modal model and the finite elements model. The modal model represents linear, self-adjoined part of the system, while simple lumped technique is applied for modelling of Coriolis phenomena.

  • Optimum Control of Gyroscopic Systems
    Publication

    The problem of optimum control of transverse rotor vibrations with gyroscopic interactions has been described and solved in the paper. An integral performance index has been defined for such system in order to minimize vibration level of a chosen rotor point. For this reason, an efficient way of finding the weight coefficients of integral performance index for multi-degrees-of-freedom system with gyroscopic interactions has been...

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  • Port-Based Modelling of Distributed-Lumped Parameter Systems
    Publication

    There in the paper is presented an uniform, port-based approach to modelling of both lumped and distributed parameter systems. Port-based model of the distributed system has been defined by application of bond graph methodology and distributed transfer function method (DTFM). The approach proposed combines versatility of port-based modelling and accuracy of distributed transfer function method. The concise representation of lumped-distributed...

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  • Reduced order model of 2d system
    Publication

    - Year 2010

    A new method of modelling is developed for static and dynamic analysis of two-dimensional elastic bodies. In the analysis, an elastic body is divided into strips. For each one-dimensional strip the reduced modal model is build up. The modal model contains appropriate number of inputs and outputs to connect lumped interaction that occur between strips. Proposed method of modelling enables to obtain more accurate and more simple...

Year 2009
  • Hybrid Model of Axially Moving Continua
    Publication

    - Year 2009

    The paper introduces the method of the model reduction of systems that experience a Coriolis acceleration component. It causes that system equations are non-self-adjoined. To avoid such problem modal, reduced model is built up for the system without Coriolis acceleration terms which are next included by application of any lumping technique. Hence, the final reduced model is a hybrid one, obtained by both lumping and modal methods...

  • Hybrid model of moving or rotating continua
    Publication

    - Year 2009

    The paper introduces the method of the model reduction of systems that experience a Coriolis acceleration or gyroscopic effect component. In such causes that corresponding system equations are non-self-adjoined. Modal reduced model is built up for the system without Coriolis or gyroscopic effect terms. These phenomena are next included by application of any lumping technique. Hence, the final reduced model is a hybrid one, obtained...

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  • Port-based approach to distributed transfer function method
    Publication

    In the paper there is presented an uniform, port-based approach to modeling of both lumped and distributed parameter systems. Port-based model of distributed system has been defined by application of distributed transfer function method (DTFM). The approach proposed combines versatility of port - based modeling and accuracy of distributed transfer function method. It enables to formulate appropriate input data for computer analysis...

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Year 2008
  • Chapter 2: Modelling and analysis of rotor with magnetic bearing system
    Publication

    - Year 2008

    The paper is concerned with rotor magnetic bearing system modelling. Such system is a relatively complex electromechanical system and can be considered as typical mechatronic one. The port-based modelling of physical systems has been used to obtain discrete-continuous model of considered system. Proposed approach enables to obtain reduced low-order lumped parameter representation of the system including gyroscopic interactions....

  • Reduced model of gyroscopic system
    Publication

    - Year 2008

    The paper presents the method of model reduction for the system with gyroscopic interactions. Two methods were used to obtain the approximate discrete models of the continuous structure: the modal decomposition method and the rigid finite element method. The first approach is used for this part of a system for which it is easy to formulate orthogonality conditions, meanwhile the second one is used for other part. The method enables...

Year 2007
  • Model of speed-varing rotor for mechatronic systems analysis and design
    Publication

    - Year 2007

    W artykule przedstawiono sposób modelowania złożonych układów mechatronicznych w oparciu o metodę grafów wiązań. Celem zilustrowania metody posłużono się przykładem liczbowym, w którym rozważano wirnik obracający się ze zmienną prędkością kątową. Prezentowana metodyka doskonale nadaje się do modelowania układów o zróżnicowanej naturze fizycznej. Otrzymany model ma charakter obiektu o pewnej liczbie wejść i wyjść, który można w...

Year 2005
  • Modelowanie, analiza i synteza układów dynamicznych z zastosowaniem grafów wiązań
    Publication

    - Year 2005

    Wyprowadzono związek pomiędzy grafami wiązań i grafami Coatesa oraz wskazano obszar zastosowań tego sposobu interpretacji modelu w postaci grafu wiązań. Przedstawiono następujące zagadnienia:wyprowadzanie transmitancji, równań stanu i równań 2. rzędu;synteza układu o założonej impedancji;zastosowanie grafów wiązań i Coatesa w metodzie transmitancji układów ciągłych;konstruowanie modalnych grafów wiązań układów dyskretno-ciągłych.Zaprezentowane...

Year 2004
  • Hybrydowy model linii hydraulicznej.
    Publication

    - Year 2004

    Zaprezentowano metodę modelowania linii hydraulicznej wykorzystując dwa sposoby budowy przybliżonych modeli dyskretnych dla układów ciągłych: dyskretyzację przestrzenną orac dekompozycję modalną. Do budowy takich modeli zastosowano modalne grafy wiązań.

  • Modelling of distributed-lumped parameter systems by application of modal bond graphs.
    Publication

    - Year 2004

    Zastosowano metodę transmitancji układów o parametrach rozłożonych oraz dekompozycję modalną do modelowania wybranych układów dynamicznych. Zaproponowane podejście pozwala otrzymać dokładne modele niskiego rzędu w postaci grafów wiązań.

  • Modelowanie układów dyskretno-ciągłych z ruchomym obciążeniem.
    Publication

    - Year 2004

    Zaprezentowano modele niskiego rzędu dla wybranych jednowymiarowych układów ciągłych z ruchomym obciążeniem w postaci przemieszczających się podukładów o parametrach skupionych.Do budowy takich modeli zastosowano zmodyfikowane modalne grafy wiązań.

  • Sterowanie analogowe pneumatycznym silnikiem krokowym
    Publication

    W pracy przedstawiono rozwiązanie sterowania analogowego pneumatycznym silnikiem krokowym, tak aby mógł pełnić rolę urządzenia wykonawczego w układach regulacji ciągłej. Wymagało to realizacji układu przetwarzającego analogowy sygnał pochodzący z regulatora na ciąg sygnałów sterujących silnikiem krokowym w taki sposób, aby zmiana położenia wału silnika była prporcjonalna do wartości sygnału z regulatora.

Year 2003
Year 2002

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