Cezary Orlikowski - Publications - Bridge of Knowledge

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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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  • 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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  • 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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  • 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...

  • 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...

  • 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...

  • 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

  • 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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  • 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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  • 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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  • 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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  • 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...

  • 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.

  • 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...

  • 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...

  • 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...

  • 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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  • Zastosowanie programów Mathematica i 20-sim do modelowania i analizy układów o parametrach rozłożonych

    Celem pracy jest zaprezentowanie zastosowania pojęcia transmitancji układów o parametrach rozłożonych do konstruowania modalnych grafów wiązań dla układów zawierających jednowymiarowe podukłady o parametrach rozłożonych. Zaprezentowano sposób i efekty zastosowania programów Mathematica (do przygotowania parametrów modeli) i programu 20-Sim (do konstruowania modeli i do symulacji) w procesie modelowania i analizy układów zawierających...

  • Modalne grafy wiązań - podejście wykorzystujące metodę transmitancji układu o parametrach rozłożonych
    Publication

    Celem pracy jest zastosowanie metody transmitancji układu o parametrach rozłożonych do konstruowania modalnych grafów wiązań. Grafy takie wykorzystuje się w modelowaniu układów zawierających jednowymiarowe podukłady o parametrach rozłożonych. W wyniku zaproponowanego podejścia uzyskuje się dalsze zwiększenie dokładności otrzymywanych modeli.

  • Algorytm konstruowania modeli matematycznych złożonych układów dynamicznych dla programu Simulink

    W pracy omówiono metodę budowy modelu matematycznego w postaci schematu blokowego dla złożonych pod względem natury fizycznej układów. Istota proponowanej metody polega na tym, że równania opisujące układ wyprowadzane są w sposób tradycyjny. Jednak podejście energetyczne i podział badanego układu na podukłady - wielowrotniki pozwala na kontrolowane wyprowadzanie równań. Następnie, wykorzystując tę samą, co w grafach wiązań procedurę...

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