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1

Influence of spatial distribution and the type of material on the occurrence of bandgaps in phononic crystals

Garus Sebastian, Sochacki Wojciech, Kwiatoń Paweł, Nabiałek Marcin, Petrů Jana, Kubanek Mariusz

Bulletin of the Polish Academy of Sciences. Technical Sciences

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2023

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Vol. 71, nr 3

art. no. e144609

EN

The study investigated the effect of the fill factor, lattice constant, and the shape and type of meta-atom material on the reduction of mechanical wave transmission in quasi-two-dimensional phononic structures. A finite difference algorithm in the time domain was used for the analysis, and the obtained time series were converted into the frequency domain using the discrete Fourier transform. The use of materials with large differences in acoustic impedance allowed to determine the influence of the meta-atom material on the propagation of the mechanical wave.

2

Minimizing the number of layers of the quasi one-dimensional phononic structures

Garus Sebastian, Sochacki Wojciech, Kubanek Mariusz, Nabiałek Marcin

Bulletin of the Polish Academy of Sciences. Technical Sciences

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2022

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Vol. 70, nr 1

art. no. e139394

EN

In the work, multi-criteria optimization of phononic structures was performed to minimize the transmission in the frequency range of acoustic waves, eliminate high transmission peaks with a small half-width inside of the band gap, and what was the most important part of the work – to minimize the number of layers in the structure. Two types of the genetic algorithm were compared in the study. The first one was characterized by a constant number of layers (GACL) of the phononic structure of each individual in each population. Then, the algorithm was run for a different number of layers, as a result of which the structures with the best value of the objective function were determined. In the second version of the algorithm, individuals in populations had a variable number of layers (GAVL) which required a different type of target function and crossover procedure. The transmission for quasi-one-dimensional phononic structures was determined with the use of the transfer matrix method algorithm. Based on the research, it can be concluded that the developed GAVL algorithm with an appropriately selected objective function achieved optimal solutions in a much smaller number of iterations than the GACL algorithm, and the value of the k parameter below 1 leads to faster achievement of the optimal structure.

3

The Effect of Layer Thickness on the Reflectance of a Quasi One-Dimensional Composite Built with Zr55Cu30Ni5Al10 Amorphous Alloy and Epoxy Resin

Garus Sebastian, Sochacki Wojciech

Archives of Metallurgy and Materials

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2021

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Vol. 66, iss. 2

503--510

EN

The study examined the impact of the angle of incidence of mechanical waves on various types of quasi one-dimensional superlattice. Binary periodic structure, quasi-periodic distribution of Thue-Morse layers and Severin’s aperiodic multilayer were used. Using the concatenation and recursive rules, the distribution of layers was determined for individual structure types for generation numbers equal to 3, 4 and 5. The structures were selected so that the thickness of the composite was the same for each type of distribution for a given generation number value. Transfer Matrix Method algorithm was used to determine reflectance. The band structure of reflectance has been demonstrated for incidence angles up to 90 degrees at mechanical wave frequencies up to 50 kHz. The existence of wide bands of high reflectance above the acoustic frequencies was demonstrated for the analyzed structures. Increasing the layer thickness caused an inhomogeneous shifts of transmission peaks towards lower frequencies.

4

Optimization of a Bandgap in the Ultrasonic Phononic Coating

Garus Sebastian, Sochacki Wojciech, Garus Justyna, Sandu Andrei Victor

Archives of Metallurgy and Materials

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2021

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Vol. 66, iss. 2

537--542

EN

This work concerns the study of the coatings for the ultrasound frequency range as a quasi one-dimensional phononic crystal structure protecting a sea object against high resolution active sonar in the frequency range most commonly found for this type of equipment. The topology of the examined structure was optimized to obtain a band gap in the 2.2-2.3 MHz frequency band. For this purpose, a genetic algorithm was used, which allows for optimal distribution of individual elements of the ultrasound multilayer composite. By optimal distribution is meant to achieve a structure that will allow minimal reflectance in a given frequency range without height reflectance peaks with a small half width. Analysis of the wave propagation was made using the Transfer Matrix Method (TMM). As part of the research, 15 and 20-layer structures with reflectance at the level of 0.23% and 0.18%, respectively, were obtained. increasing the number of layers in the analyzed structures resulted in finding such a distribution in which a narrow band of low reflectance was obtained, such distributions could also be used as bandpass filters. The use of a genetic algorithm for designing allows to obtain modern coatings, the characteristics of which result from the structure.

5

High-performance quasi one-dimensional mirrors of mechanical waves built of periodic and aperiodic structures

Garus S., Sochacki W.

Journal of Applied Mathematics and Computational Mechanics

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2018

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Vol. 17, nr 4

19--24

EN

The work studied the reflectance for quasi one-dimensional phononical structures. In composite superlattices, the thickness of the layers, their arrangement and selection of constituent materials with appropriate properties such as the density and velocity of mechanical waves propagation allows for the creation of a phononic band gap (PhBG) phenomenon. PhBG is characterized by high reflectance of the mechanical wave incident on the analyzed structure, which means that the wave does not propagate in the superlattice. The paper proposes periodic and aperiodic structures characterized by a wide range of reflectance for the ultrasonic frequencies of mechanical waves and shows how the change the thickness of the layer affects the properties of the analyzed structures.

6

Wave-based attitude control of spacecraft with fuel sloshing dynamics

Thompson J. W., O'Connor W.

Archive of Mechanical Engineering

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2016

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Vol. LXIII, nr 2

263--275

EN

Wave-Based Control has been previously applied successfully to simple underactuated flexible mechanical systems. Spacecraft and rockets with structural flexibility and sloshing are examples of such systems but have added difficulties due to nonuniform structure, external disturbing forces and non-ideal actuators and sensors. The aim of this paper is to extend the application of WBC to spacecraft systems, to compare the performance of WBC to other popular controllers and to carry out experimental validation of the designed control laws. A mathematical model is developed for an upper stage accelerating rocket moving in a single plane. Fuel sloshing is represented by an equivalent mechanical pendulum model. A wave-based controller is designed for the upper stage AVUM of the European launcher Vega. In numerical simulations the controller successfully suppresses the sloshing motion. A major advantage of the strategy is that no measurement of the pendulum states (sloshing motion) is required.

PL

Sterowanie oparte na podejściu falowym było w przeszłości stosowane z powodzeniem do prostych, elastycznych systemów mechanicznych, w których liczba sygnałów sterujących jest mniejsza od liczby stopni swobody. Rakiety i statki kosmiczne, strukturalnie elastyczne, w których występuje zjawisko przelewania się płynu, są przykładami takich systemów, lecz nastręczają dodatkowe trudności z powodu niejednorodnej struktury, zewnętrznych sił zakłócających i nieidealnych elementów wykonawczych i czujników. Celem pracy jest zastosowanie sterowania opartego na podejściu falowym (WBC) do systemów statków kosmicznych, porównanie efektów strategii WBC z działaniem innych popularnych regulatorów i eksperymentalne potwierdzenie poprawności opracowanych praw sterowania. Opracowano model matematyczny dla górnego stopnia rakiety przyspieszającej poruszającej się w pojedynczej płaszczyźnie. Przelewanie się płynu jest reprezentowane przez równoważny model wahadła mechanicznego. Układ sterujący typu WBC został zaprojektowany dla górnego stopnia AVUM europejskiej rakiety nośnej Vega. Symulacja numeryczna wykazała, że układ sterowania z powodzeniem tłumi ruchy wywołane przelewaniem się płynu. Zaletą tej strategii jest, że nie są wymagane żadne pomiary stanów wahadła (ruchów przelewającego się płynu).

7

Fale sprężyste : wybrane zagadnienia

Kuliński K.

Zeszyty Naukowe Politechniki Częstochowskiej. Budownictwo

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2015

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Z. 21 (171)

161--167

PL

W artykule zaprezentowano i omówiono wybrane rodzaje występujących w przyrodzie fal, tj. fal słabej nieciągłości oraz fal silnej nieciągłości (tzw. fale uderzeniowe). Ponadto w pracy przedstawiono możliwe zastosowanie opisanych fal, jak również dokonano przeglądu literaturowego ze wskazaniem prac, w których wykorzystuje się metodę elementów skończonych do walidacji opisów matematycznych i wyników badań prezentowanych fal.

EN

In this paper there are presented and discussed two different naturally occurring wave types i.e. low discontinuity waves and strong discontinuity waves called impact waves. Moreover, in this paper there are presented possible applications of described waves and a small literature overview has been performed indicating the works, where finite element method is used to validate the mathematical problem descriptions and the experimental results of presented wave types.