W pracy przedstawiono modelowanie oraz analizę aktywnych układów mechanicznych za pomocą metody grafów i liczb strukturalnych. Celem przeprowadzenia takiego modelowania jest poznanie i udoskonalenie opisu i metod projektowania tak aby formalizm matematyczny w pełni ujmował istotę problemu jaki stanowi wyznaczenie charakterystyki tych układów. Przedstawiony model umożliwia również jednoznaczne rozwiązanie zadania odwrotnego, czyli syntezy.
EN
Modelling and analysis of active materiał systems by means of graph method and structural numbers has been shown in the thesis. The aim of such modelling is studying and improvement of the description and methods of designing so as the mathematical formalism fully explained the essence of the problem which means determination of the systems characteristic. The model shown enables as well the uniquesolutionoftheconversetask i.e. synthesis.
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Purpose: The main purpose of this work is the presentation analysis and synthesis of mechanical systems including passive and active elements reducing vibrations. In result of conducted synthesis was received structures and parameters of a discrete model meeting the defined requirements concerning the dynamic features of the system, in particular, the frequency spectrum. The aim of this paper is also comparison of these two methods of reduction of vibrations. Design/methodology/approach: In this paper was used method of polar graphs and their relationship with algebra of structural numbers. This method is called a non-classical method. The use of such a method enables the analysis and synthesis of mechanical systems irrespective of the type and number of the elements of such a system. Findings: The application of active elements to eliminate vibration enables overcoming limitations which occur if passive elements are used. Active elements give better results in case of reduction of low frequency vibrations. Presented approach simplifies the process of selecting the dynamical parameters of systems in view of their dynamical characteristics. Research limitations/implications: The scope of discussion is analysis and synthesis of mechanical systems including passive and active elements reducing of vibrations, but for this type of systems, such approach is sufficient. Practical implications: The practical realization of the reverse task of dynamics introduced in this work can find uses in designing of machines with active and passive elements with the required frequency spectrum. Originality/value: Thank to the approach, introduced in this paper, can be conducted as early as during the designing of future functions of the system as well as during the construction of the system. Using method and obtained results can be value for designers of mechanical systems with elements reducing vibrations.
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Purpose: The main purpose of this work is to present the algorithm of a converse problem of dynamics of mechanical systems containing passive and active elements. Solving the problem results in obtaining structures and parameters of a discrete model meeting the defined requirements concerning the dynamic features of the system, in particular, the frequency spectrum. Another objective of this work is to compare the reduction of vibration by means of passive or active elements or while using passive and active elements at the same time. Design/methodology/approach: The work involves the application of a non-classical method of polar graphs and their relation to structural algebra. The use of such a method enables the analysis of mechanical systems irrespective of the type and number of the elements of such a system. Findings: The application of active elements to eliminate vibration enables overcoming limitations which occur if passive elements are used. One of the most important limitations is low efficiency in case of low-frequency vibration and inability to reduce vibration of selected parts of the system. Research limitations/implications: The scope of discussion is reverse task of passive and active mechanical systems, but for this type of systems, such approach is sufficient. Practical implications: The practical realization of the reverse task of dynamics introduced in this work can find uses in designing of machines with active and passive elements with the required frequency spectrum. Originality/value: Thank to the approach, unclassical method of polar graphs and their relationship with algebra of structural numbers, can be conducted as early as during the designing of future functions of the system as well as during the construction of the system. Using method and obtained results can be value for designers of mechanical systems.
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