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EN
This study presents an examination of the transmission properties of multilayered partitions made up of multiple micro-perforated plates (MPPs) coupled to acoustic enclosures with general impedance boundaries. Multi-layered MPPs can lower the transmission while minimizing reflection in the source and receiving enclosure. Previous research has mainly focused on the double MPPs or triple MPPs partition itself. However, it is vital to analyze the in-situ sound transmission loss of the multi-layered MPP and their efficiency in a complex vibro-acoustic environment. The case when the multilayered MPPs are coupled to a receiving enclosure or coupled to both a source and receiving enclosure is investigated. The objective is to provide an analytical method to evaluate the transmission properties of multilayered MPPs coupled to acoustic enclosures while being computationally more efficient than the finite element method (FEM). Using the modified Fourier series for the acoustic pressure, a variational form for the acoustic and structure medium yields a completely coupled vibroacoustic system. A comparison between the sound transmission loss of the double MPPs, when mounted on an impedance tube and coupled to acoustics enclosures, shows the modal effect of the enclosures. The effect of enclosure shape, impedance boundary, perforation ratio, air gap thickness on the sound transmission properties of the double MPPs structure is examined for both cases. Finally, in both situations, the performance of triple MPP structure insulation is evaluated.
EN
The studying the dynamic response of steel-concrete railway bridges of Langer type is huge importance of ensuring the safety of such structures under high-speed train loads. Numerical simulations at the design stage require knowledge of the modal characteristics: natural frequencies, shapes and damping. In addition, in the dynamics of railway bridges subjected to high-speed trains, it is important to check the impact of dynamic effects on the ultimate and serviceability limit states. As part of the investigations displacements and accelerations of selected measurement points arising from driving the test rolling stock are analyzed. In the first stage, calculations of the eigenvalues and the corresponding eigenvectors were carried out in the Robot program for two variants of mass description (distributed and discrete). In the second stage, dynamic train passages for various vehicle speeds were examined in terms of displacements and accelerations of measurement points by using the authors’ program MES3D.
PL
Badanie odpowiedzi dynamicznej stalowo-betonowych mostów kolejowych typu Langera ma ogromne znaczenie dla zapewnienia bezpieczeństwa takich obiektów pod obciążeniem pociągów dużych prędkości. Symulacje numeryczne na etapie projektowania wymagają znajomości charakterystyk modalnych: częstotliwości drgań własnych, form i tłumienia. Dodatkowo w dynamice mostów kolejowych poddanych działaniu pociągów szybkobieżnych istotne jest sprawdzenie wpływu efektów dynamicznych na stany graniczne nośności i użytkowalności. W ramach badań analizowano przemieszczenia i przyspieszenia wybranych punktów pomiarowych powstałych od jazdy taborem próbnym. W pierwszym etapie przeprowadzono obliczenia wartości własnych i odpowiadających im wektorów własnych w programie Robot dla dwóch wariantów opisu masy (rozłożonej i dyskretnej). W drugim etapie zbadano przebiegi dynamiczne dla różnych prędkości pociągów pod kątem przemieszczeń i przyspieszeń punktów pomiarowych za pomocą autorskiego programu MES3D.
EN
Based on the inverse approach and the finite element method, the quality of a reconstructed signal is discussed in this work. The responses caused by a distributed impact on a portion of a composite structure can be recovered using dynamic analysis. The structure is thought to be complex and made up of two different-sized plates made of two different materials. The robustness of the inversion method was studied, as well as the sensitivity of the numerical method compared to modal truncation and sampling of the frequency response function (FRF). Once the FRF had been identified, regularized deconvolution as per generalized singular value decomposition was used to reconstruct the impact signal characteristics. It was revealed that only one mode is required to reconstruct the impact signal.
EN
Mechanical vibrations are a common problem encountered in many machines, especially for vertical turbine pumps. These pumps are generally difficult to stiffen or damp, but the effective diagnosis must begin with an understanding of the underlying vibratory sources. In the present work, a deep well vertical turbine pump experienced extremely high vibrations for a long time although it still being new. It hasn't been in operation for over 6 months. The pump system suffers from extremely high vibration levels relative to the rotational speed (1X motor dominant frequency). An efficient strategy was implemented by using well-conceived techniques. The experimental modal analysis confirmed a presence of a natural frequency. Modifications were carried out to overcome resonance. Finite element analysis was done to determine the reed critical frequencies as a powerful tool to identify and mitigate vibration issues. On-site motor balancing was done to remove vibrations due to the residual imbalance. Results revealed decreasing vibration level by about 66% after solving all problems.
EN
The paper presents arch structures modeled by finite elements in which the nodes can be flexibly connected. Two-node curved elements with three degrees of freedom at each node were used. Exact shape functions were adopted to obtain stiffness and consistent mass matrices but they were modified by introducing rotational flexibility in the boundary nodes. Calculations of statics and dynamics of arches with different positions of flexible joints and different values of rotational stiffness of the joints were carried out.
EN
The analysis of dynamic parameters finds effective application in processes related to the assessment of the technical condition of machines. Mass transport vehicles are particularly sensitive to maintaining an appropriate level of traffic safety through relevant design and diagnostics. The combination of numerical and experimental methods increases the efficiency of modal properties investigations, which can be used as diagnostic parameters. During the research, the authors performed a numerical model of a system composed of a rim and an inner disc of a wheel fitted in a Konstal 105Na tram, widely used in many polish cities and frequently subjected to repair and renovation processes. The Time Response analysis in SOLIDWORKS (also called Modal Time History) was then conducted, resulting in obtaining information about object vibration response in time domain to the impulsive excitation at given points. These signals were then processed in MATLAB aiming at determining the frequencies of natural vibration and damping ratios. The processing parameters in MATLAB were corresponding to the analysis settings of the experimental measurement, carried out within the BK Connect environment, with an impact modal hammer and piezoelectric transducers. When analyzing the experimental measurements, the authors applied Fast Fourier Transformation, Frequency Response Function and Complex Mode Indicator Function (the theoretical basis of which and practical sense of application were also presented in the paper). Finally, the results of the experiment were compared with simulation outcomes. This comparison allowed the obtainment of frequency characteristics of the vibration response to the impact and the determination of the dynamic parameters of the actual object. Six frequencies of natural vibrations were determined in the frequency range of 0 to 3000 Hz, as well as their damping ratios and autocorrelation indicators between modes. Similarities and potential sources of differences between the numerical and the experimental results were identified and explained, followed by conclusions on the practical application of the presented research methodology in the industry.
EN
In the current study, investigations are made to control the MB truck cabin interior noise by reducing noise in the transmission path. The main sources of cabin noise include the engine, exhaust system, air inlet system, driveline system, and tyres (especially at higher speeds). Furthermore, vibrations of the body and interior parts of the truck may significantly impact the overall in-cabin sound level. Noise is transmitted into the cabin via air (airborne noise) and cabin structure (structure-borne noise). In the noise treatment phase, noise transmission paths are considered. A viscoelastic layer damping material is used to reduce the vibration amplitude of the cabin back wall. The overall loss factor and vibration amplitude reduction ratio for the structure treated is calculated. Computational results are then compared with the values obtained by the experimental modal analysis results. Choosing the suitable material and thickness can significantly reduce the vibration amplitude. A sound barrier, silicon adhesive, and foam are also utilised for noise control in the transmission path. The effectiveness of the mentioned acoustic materials on cabin noise reduction is evaluated experimentally. The experimental SPL values are reported in the frequency range of 20 Hz–20 kHz based on a 1/3 octave filter. The experimental results show that using acoustics materials reduces the overall in-cabin sound level for a wide range of frequencies.
EN
The paper presents a synthetic characterization of modern methods of manufacturing or regenerating machine elements. Considered methods are machining and additive methods, in particular 3D printing in the FDM/FFF technique. For the study, the authors made samples of the holder bracket using selected methods. Samples made by machining operations, 3D printing with various filling were tested. The paper contains a technical and economic analysis of the production of a holder bracket using the discussed methods. The dynamics of steel and FDM/FFF printed samples were also assessed by determining their resonance curves. The vibration magnification fac-tors were analyzed - the quotient of the vibration amplitudes in the resonance to the static deformations that occurred under the influence of the constant force and the location of the vibration resonances - the natural frequencies for individual vibration modes. The study's main objective is to assess the possibility of emergency changing the manufacturing technology of selected machine components. The authors were interested in partially replacing costly and not environmentally friendly milling with 3D printing. Machine elements can be manufactured by printing in classical machine building and emergency conditions to replace a damaged component temporarily (e.g., on a ship, for the time of arrival at a port or shipyard). The main assumption guiding the authors during the preparation of this publication was the analysis of the possibility of using the production of "ad hoc" prepared spare parts and their use in the event of a lack of access to parts made of the intended materials.
EN
The study of the system composed of the inner disc and wheel rim of the 105Na type railway wheel, used in Polish Konstal streetcars, was aimed at determining the dynamic parameters of the object, such as the form and frequency of natural vibrations, and at evaluating the effectiveness of the method at given analysis settings. The experiment was conducted using triaxial piezoelectric transducers and a modal hammer with an aluminum head. A multiple-input, multiple-output (MIMO) testing approach was used because of the multiple excitation points and vibration measurements. A Fast Fourier Transform (FFT) of the measurements was performed in BK Connect software and the frequency response function (FRF) value waveforms were determined. The Rational Fraction Polynomial-Z method was used to extract modes from the frequency spectrum. In addition, the Complex Mode Indicator Function method was used, which resulted in the decomposition of the principal components of the FRF value matrix, allowing the identification of individual modes. The selection of the natural frequencies was performed on the basis of the obtained FRF and CMIF characteristics of the vibroacoustic response. Visualization of the form of the natural vibration was also performed. The result of the experiment was a set of comprehensive information on the modal properties of the studied object, which allowed to confirm the effectiveness of the selected method of analysis.
EN
The article presents an experimental method of determining the geometric properties of jet engine rotor airfoils based on modal vibration testing. The procedure is based on adjusting the results of analytical calculations to the laboratory outcomes. Experimental tests were carried out on a set of 20 jet engine fan blades made of AL7022-T6 aluminium alloy. Each blade differed in weight and geometric dimensions within the accepted design tolerance. Numerical analysis of five airfoils that differed in thickness was performed. Modal vibration test results were summarised and compared with the results obtained by the numerical method. The comparison revealed a high similarity of the frequency and form of vibrations acquired by numerical simulation for each of the blades in relation to the executed vibration testing. Based on the verification of the theoretical model with the results obtained through experimental testing, conclusions were drawn about the object’s dynamic behaviour and its technological quality and geometric properties, whereby each of airfoil was probably thinned.
11
EN
A machine has always been, is and will be the technical progress. The basis of every economy is the progressiveness of manufacturing engineering since it manufactures components for all industries. Technical requirements in manufacturing engineering are constantly leading to an increase of the technical level of manufacturing equipment. Profound knowledge of scientific fields precedes a successful fulfilment of the technical requirements. Structural units of manufacturing machines are complex mechanisms that must work reliably and safely with an emphasis on their important function. These units create new objectives for their research and optimization.
PL
Konstrukcje budowlane i ich elementy muszą spełniać wymagania dotyczące stateczności, sztywności i nośności. Są to warunki decydujące o bezpieczeństwie konstrukcji zarówno w okresie budowy, jak i eksploatacji. Ocena bezpieczeństwa odbywa się na podstawie badań diagnostycznych mających na celu kontrolę jakości wykonania wznoszonych obiektów lub zlokalizowanie uszkodzeń elementów konstrukcji powstałych podczas eksploatacji. W artykule skupiono się na eksperymentalnej analizie modalnej SISO ceramicznych elementów murowych. Doświadczenie przeprowadzono na dwudziestu próbkach cegły pełnej, z czego celowo uszkodzono połowę z nich, aby możliwa była ocena przydatności zastosowanej metody w postawionym problemie badawczym.
EN
Building structures and their elements must meet the requirements related to stability, stiffness and strength. These are the conditions that determine the safety of the structure both during construction and operation. The safety assessment is carried out on the basis of diagnostic tests aimed at checking the quality of the erected objects or locating damages to structural elements caused during operation. The work focuses on the experimental SISO modal analysis of ceramic masonry elements. The experiment was carried out on twenty samples of solid and perforated bricks, half of which were deliberately damaged and thus to be able to assess the suitability of the method used in the research problem posed.
PL
W niniejszej pracy przeprowadzono analizę statyczną i rozwiązano zagadnienie własne dla modeli przestrzennych billboardów o trzech różnych geometriach i powierzchniach tablicy reklamowej. W oparciu o uzyskane wyniki przedyskutowano wpływ zastosowanego kształtu konstrukcji na wartości naprężeń i przemieszczeń w układzie. Uzyskane wartości częstotliwości wraz z formami drgań dla poszczególnych postaci opatrzono stosownym komentarzem.
EN
In the presented paper the results of static analysis are presented as well as the eigenproblem solution for 3D models of billboards with three different forms of their geometry and dimensions of advertising board. Based on these data, the influence of the applied structure shape on the values of stresses and displacements identified in such billboards is discussed. The determined values of the natural frequencies, and also the forms of vibrations specific for individual modes are provided with an appropriate commentary.
EN
The paper presents the approaches to FE modelling of blade airfoil, contact between the shrouds and operational damage. The regularities are established concerning the influence of the finite element type, finite element mesh and model of contact interaction on the spectrum of natural frequencies of blade assemblies. The use of the developed computational models is substantiated to determine the forced vibration characteristics of the selected objects of investigation. Based on the performed numerical experiments it was substantiated of finite element model selection for analysis of characteristics of shrouded rotor blade vibrations.
PL
W artykule przedstawiono podejścia do modelowania elementów skończonych płata łopaty, styku osłon oraz uszkodzeń eksploatacyjnych. Ustalono prawidłowości dotyczące wpływu typu elementu skończonego, siatki elementów skończonych oraz modelu interakcji stykowej na widmo częstotliwości drgań własnych zespołów łopatek. Uzasadnione jest wykorzystanie opracowanych modeli obliczeniowych do wyznaczania charakterystyk drgań wymuszonych wybranych obiektów badań. Na podstawie przeprowadzonych eksperymentów numerycznych uzasadniono wybór modelu elementów skończonych do analizy charakterystyk drgań osłoniętych łopat wirnika.
EN
Although the study of oscillatory motion has a long history, going back four centuries, it is still an active subject of scientificr esearch. In this review paper prospective research directions in the field of mechanical vibrations were pointed out. Four groups of important issues in which advanced research is conducted were discussed. The first are energy harvester devices, thanks to which we can obtain or save significant amounts of energy, and thus reduce the amount of greenhouse gases. The next discussed issue helps in the design of structures using vibrations and describes the algorithms that allow to identify and search for optimal parameters for the devices being developed. The next section describes vibration in multi-body systems and modal analysis, which are key to understanding the phenomena in vibrating machines. The last part describes the properties of granulated materials from which modern, intelligent vacuum-packed particles are made. They are used, for example, as intelligent vibration damping devices.
EN
Functionally Graded Materials (FGM) are extensively employed for hip plant component material due to their certain properties in a specific design to achieve the requirements of the hip-joint system. Nevertheless, if there are similar properties, it doesn’t necessarily indicate that the knee plant is efficiently and effectively working. Therefore, it is important to develop an ideal design of functionally graded material femoral components that can be used for a long period. A new ideal design of femoral prosthesis can be introduced using functionally graded fiber polymer (FGFP) which will reduce the stress shielding and the corresponding stresses present over the interface. Herein, modal analysis of the complete hip plant part is carried out, which is the main factor and to date, very few research studies have been found on it. Moreover, this enhances the life of hip replacement, and the modal, harmonic, and fatigue analysis determines the pre-loading failure phenomena due to the vibrational response of the hip. This study deals with the cementless hip plant applying the finite element analysis (FEA) model in which geometry is studied, and the femoral bone model is based in a 3D scan.
EN
The free transverse vibrations of shafts with complex geometry are studied using analytical methods and numerical simulations. A methodology is proposed for evaluating the results of a natural transverse vibration analysis as generated by finite element (FE) models of a shaft with compound geometry. The effectiveness of the suggested approach is tested using an arbitrarily chosen model of the injection pump shaft. The required analytical models of the transverse vibrations of stepped shafts are derived based on the Timoshenko thick beam theory. The separation of variables method is used to find the needed solutions to the free vibrations. The eigenvalue problem is formulated and solved by using the FE representation for the shaft and for each shaft-simplified model. The results for these models are discussed and compared. Additionally, the usefulness of the Myklestad–Prohl (MP) method in the field of preliminary analysis of transverse vibration of complex shaft systems is indicated. It is important to note that the solutions proposed in this paper could be useful for engineers dealing with the dynamics of various types of machine shafts with low values of operating speeds.
PL
W pracy podjęto tematykę wyznaczania parametrów modalnych i tłumienia laminatów przemysłowych stosowanych do celów konstrukcyjnych. Eksperymentalną analizę modalną przeprowadzono dla pięciu materiałów laminowanych typowych dla zastosowań przemysłowych. Uzyskane wyniki pozwalają na identyfikację częstości drgań własnych i postaci własnych drgań oraz współczynników tłumienia modalnego, na podstawie których podano zalecenia ich zastosowania w projektowaniu konstrukcji.
EN
The study deals with determination of modal parameters and damping of industrial laminates used for constructional purposes. The experimental modal analysis was performed for five laminated materials typical for industrial applications. Obtained results allow identifying natural frequencies and modal shapes of vibrations as well as modal damping factors, based on which the recommendations of their applications in structural design were given.
PL
Praca prezentuje analizę konstrukcji modelowego elektrowibratora z magnesami trwałymi. Analiza została przeprowadzona na przygotowanych przestrzennych modelach obliczeniowych z wykorzystaniem narzędzi do obliczeń MES i CFD firmy Autodesk. W wyniku przeprowadzonych badań symulacyjnych określono trwałość łożyskowania, wytrzymałość wału, konstrukcji wirnika i kadłuba, wyznaczono częstości drgań własnych wirnika i kadłuba oraz przeprowadzono analizę termiczną maszyny. Wykonana analiza pozwoliła na ocenę nowej konstrukcji elektrowibratora na etapie modelu, przed wykonaniem rzeczywistej maszyny.
EN
The structure analysis of the permanent magnet electro vibrator model is presented in the work. The analysis was carried out on prepared spatial computational models using Autodesk’s MES and CFD calculation tools. As a result of the simulation tests, bearing durability, shaft, rotor and body structure strength, the rotor and body vibrations frequencies, and thermal analysis of the machine was carried out. The analysis made possible to evaluate the new design of the electro vibrator at the model stage before the actual machine was made.
EN
The article presents theoretical and experimental investigation in order to obtain dynamic properties of hybrid machine tool body in comparison with cast iron body. For this purpose, the theoretical and experimental modal analyses were carried out. The influence of the mineral cast material for filling voids on the dynamic properties of the machine tool body was discussed. During the analysis, the modes and frequencies of free vibrations, the amplitude values and the damping ratios were compared. Despite lowering the free vibration frequency of the hybrid construction, compared to the cast iron body, in some cases, the dynamic propertieswere affected. This could be determined on the basis of decreasing the amplitude value of the transfer function (from 12.16% to 58.66%) and the increasing the vibration damping coefficient ratio (from 12.22% to 75.24%) in the case of a hybrid body as compared to a cast iron body. The final conclusions were drawn about the application of mineral casts in the construction of machine tools and its impact on the dynamic properties of the structure.
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