BROADBAND VIBRATION CONTROL THROUGH PERIODIC ARRAYS OF LOCALLY RESONANT INCLUSIONS

openDottorato di ricerca in Ingegneria industriale e dell'informazioneopenZientek, Michal Wladysla

Piezoelectric digital vibration absorbers for vibration mitigation of bladed structures

Climate change and resource scarcity pose increasingly difficult challenges for the aviation industry requiring a reduction in fossil fuel consumption. To address these problems and increase the efficiency of aircraft engines, some of their parts are now manufactured in one piece. For example, a rotor of the compressor stage of an airplane engine consist of a drum with a large number of blades and is called BluM. These structures are lightweight and feature low structural damping and high modal density. Their particular dynamic characteristics require sophisticated solutions for vibration mitigation of these structures. This is precisely the starting point of this thesis. Based on a digital realization of piezoelectric shunt circuits, we provide a damping concept that is able to tackle the complex dynamics of bladed structures and to mitigate their vibrations. To this end, multiple digital vibration absorbers (DVAs) are used simultaneously. Two new strategies to tune these DVAs are proposed in the thesis, namely the isolated mode and mean shunt strategies. These strategies not only take advantage of the fact that multiple absorbers act simultaneously on the structure, but they also address the problem of closely-spaced modes. In order to target multiple families of BluM modes, these strategies are incorporated in a multi-stage shunt circuit. The concepts are demonstrated experimentally using two bladed structures with increasing complexity, namely a bladed rail and a BluM. Both methods exhibit excellent damping performances on multiple groups of modes. In addition, they prove robust to changes in the host structure which could, e.g., be due to mistuning. Thanks to their digital realization, DVAs are also easily adjustable. Finally, this thesis reveals the parallel that exists between resonant piezoelectric shunts with a negative capacitance and active positive position feedback (PPF) controllers. Based on this comparison, a new H∞ norm-based tuning rule is found for a PPF controller. It is demonstrated using both numerical and experimental cantilever beams. To this end, a method that accounts for the influence of modes higher in frequency than the targeted one is developed.Le changement climatique et la raréfaction des ressources posent des défis de plus en plus complexes à relever pour l'industrie aéronautique. Un de ces défis est la réduction de la consommation en énergies fossiles. Pour accroître l'efficacité des moteurs d'avion, certains de leurs composants sont désormais fabriqués en une seule pièce. Dans le cas des compresseurs, ces pièces monoblocs sont appelées BluMs et sont constituées d’un tambour avec un grand nombre d'aubes. Ce type de structures bénéficie d'un allègement significatif, ce qui conduit à un faible amortissement structurel. De plus, ces pièces monoblocs présentent une densité modale élevée en raison du nombre important de diamètres nodaux. Ces caractéristiques dynamiques particulières nécessitent des solutions d'amortissement sophistiquées. Cette thèse de doctorat aborde cette problématique. En exploitant le concept d'absorbeur de vibration digital (DVA), nous proposons une nouvelle technique d'amortissement des structures aubagées. Deux nouvelles stratégies d'accordage de ces DVA sont développées dans cette thèse, à savoir la stratégie du mode isolé et la stratégie du shunt moyen. Ces méthodes tirent non seulement parti du fait que plusieurs absorbeurs agissent simultanément sur la structure, mais elles s'attaquent aussi au problème des modes proches en fréquence. Afin de cibler plusieurs familles de modes, ces stratégies ont été incorporées dans un circuit de shunt à plusieurs étages. Les concepts sont testés expérimentalement sur deux structures aubagées de complexité croissante, à savoir un rail à aubes et un BluM comme application finale. Ces méthodes permettent d'obtenir d'excellentes performances d'amortissement sur plusieurs groupes de modes. Elles s'avèrent également robustes face à des variations de la structure, dues par exemple à un désaccordage de celle-ci. Il est à noter que, grâce à leur caractère digital, ces méthodes sont facilement adaptables. Finalement, nous révélons le parallèle qui existe entre les shunts piézoélectriques résonants avec une capacitance négative et le contrôleur actif à rétroaction positive de position (PPF). Sur base de cette comparaison, de nouvelles règles d'accordage basées sur la norme H∞ sont développées pour le contrôleur PPF. Leur efficacité est démontrée à la fois numériquement et expérimentalement sur une poutre encastrée-libre. Dans ce but, une méthode prenant en compte l'influence des modes dont la fréquence est supérieure au mode ciblé a été mise sur pied au moyen de facteurs de correction

Piezoelectric Digital Vibration Absorbers for Multimodal Vibration Mitigation of Complex Mechanical Structures

Engineering structures are becoming lighter and more complex to accommodate the ever-increasing demand for performance and to comply with stringent environmental regulations. This trend comes with several challenges, one of which is the increased susceptibility to high-amplitude vibrations. These vibrations can be detrimental to structural performance and lifetime, and may sometimes even threaten safety. Passive and active vibration reduction techniques can provide a solution to this issue. Among the possibilities, piezoelectric damping is an attractive option, due to its compact and lightweight character, its reduced cost and its tunability. This technique uses the ability of a piezoelectric transducer to transform part of its mechanical energy into electrical energy. The converted energy can then be dissipated by connecting a shunt circuit to the transducer. However, the difficulty of realizing such circuits limits the broad applicability of piezoelectric shunting. This doctoral thesis investigates the potential of replacing the electrical circuit comprising classical components such as resistors and inductors by a digital unit and a current source, thereby creating a digital vibration absorber (DVA). Virtually any circuit can be emulated with a digital controller, providing this approach with an extreme versatility for vibration mitigation of complex mechanical structures. In this regard, the DVA is first analyzed in terms of power consumption and stability of the controlled system. Then, effective and easy-to-use tuning approaches for the control of multiple structural modes either with passive electrical circuits or a DVA are proposed, namely a passivity-based tuning of shunt circuits, a modal-based synthesis of electrical networks interconnecting multiple piezoelectric transducers, and a numerical norm-homotopy optimization resulting in an all-equal-peak design. These techniques are eventually applied and adapted to real-life structures with potentially complex dynamics. Specifically, effective vibration mitigation is demonstrated on structures exhibiting nonlinear behaviors and high modal density

Piezoelectric Materials

The science and technology in the area of piezoelectric ceramics are extremely progressing, especially the materials research, measurement technique, theory and applications, and furthermore, demanded to fit social technical requests such as environmental problems. While they had been concentrated on piezoelectric ceramics composed of lead-containing compositions, such as lead zirconate titanate (PZT) and lead titanate, at the beginning because of the high piezoelectricity, recently lead water pollution by soluble PZT of our environment must be considered. Therefore, different new compositions of lead-free ceramics in order to replace PZT are needed. Until now, there have been many studies on lead-free ceramics looking for new morphotropic phase boundaries, ceramic microstructure control to realize high ceramic density, including composites and texture developments, and applications to new evaluation techniques to search for high piezoelectricity. The purpose of this book is focused on the latest reports in piezoelectric materials such as lead-free ceramics, single crystals, and thin films from viewpoints of piezoelectric materials, piezoelectric science, and piezoelectric applications

High coupling materials for thin film bulk acoustic wave resonators

Radio frequency (RF) filters based on bulk acoustic wave resonances in piezoelectric thin films have become indispensable components in mobile communications. The currently used material, AlN, exhibits many excellent properties for this purpose. However, its bandwidth is often a limiting factor. In addition, no tuning is possible with AlN. Ferroelectrics would offer both larger coupling to achieve larger bandwidths, and tunability. However, their acoustic properties are not well known, especially in the thin film case. The goal of this thesis is to investigate the potential and identify the limitations of ferroelectric thin films for thickness mode resonators in the 0.5 - 2 GHz range. The Pb(Zrx,Ti1-x)O3 (PZT) solid solution system is the main candidate, since it is known for its large piezoelectric constants and its growth is already well studied. As a main test vehicle, free standing thin film bulk acoustic resonator (TFBAR) structures with Pt/PZT/Pt/SiO2 membranes were successfully fabricated using silicon micro-machining techniques. The main drawback of ferroelectrics is the damping of acoustic waves by domain wall motion both in the RF electric field and in the pressure wave. For this reason films with varying orientations and compositions were investigated. From the device structures the electro-mechanical coupling constants kt2, the quality factors (Q-factors) and several materials parameters have been obtained. High coupling constants have been found for sol-gel Pb(Zr0.53,Ti0.47)O3 films with a {100} texture, kt2 is found to be 0.4 for a 1 µm thick film and 0.8 for a 3.8 µm thick film. However, the Q-factors of these films are low, 18 for the first film and 3 for the second film. The increase of kt2 and the decrease of the Q-factor with frequency indicates that the domains present in these films contribute to these characteristic parameters. It was generally observed that high coupling constant are associated to low Q-factors. This became evident when comparing films with 53/47 composition, where both tetragonal and rhombohedral phases are present, to tetragonal films as well as when comparing {100} textures with (111) textures. Both for the 53/47 composition and for the {100} texture, ferroelastic domain walls are thought to play a bigger role than for tetragonal compositions and (111) textures. The highest figure of merit (FOM) of about 15 was found when combining the composition leading to a high coupling constant (53/47) and the orientation leading to lower losses (111). However the losses even in this film are too high for RF-filter applications. On the other hand, films with low Q-factors but high coupling could prove very useful as transducers for ultrasonic imaging applications, where low Q-factors are desired. The stiffness coefficients of the studied PZT films were shown to be higher than expected from ceramics data. Most likely the stiffness of ceramics always contains domain contributions leading to softening. In contrast, in textured films the variety of domain orientation is very much reduced. In order to reduce losses due the presence of ferroelastic domains three different potential solutions were explored. The first idea was to manipulate the domain populations of the films deposited on silicon by using heat and vacuum treatments. Silicon substrates are known from previous works to be unfavourable for high c-domain fractions. It was discovered that an anneal in vacuum at 550 °C lead to a significant reduction of c-domains in tetragonal 30/70 PZT ({100}). On the contrary, if the sample was subjected to a compressive stress during cooling, the c-domain fraction could be increased. Analysis of the film stress versus temperature curves revealed a trend consistent with theoretical predictions, i.e. a phase boundary between the c/a/c/a and the a1/a2/a1/a2 domain patterns between room temperature and the Curie temperature θC. However, even though this method reveals interesting results, it can not be exploited as a method to achieve a sufficient c-domain population. The second idea explored was the implementation of a high thermal expansion material as a substrate. PZT films deposited on MgO are known to be compressive due to the difference in thermal expansion of the two materials. The compressive stress leads to highly c-axis oriented PZT films. Devices using MgO substrates were fabricated, however difficulties in the micro-machining of the MgO substrate inhibited a complete liberation of the membrane. Nevertheless, preliminary measurements indicate these devices could lead to both high coupling and high Q-factors, suggesting that further detailed study of this method is worthwhile. As a third method for avoiding ferroelastic domains, the uniaxial ferroelectric potassium lithium niobate (KLN) was explored. The unique ferroelectric axis in this material means that only 180° domain walls are present, which can theoretically be removed by poling. This material has been deposited in thin film form using pulsed laser deposition (PLD). KLN thin films with a {001} texture were deposited successfully on Pt/Si substrates. The films were piezoelectric with a d33,f value of around 10 pm/V and a dielectric constant of 250. This is the first time that piezoelectric properties were measured on KLN thin films. A columnar structure has been observed, however the small grain size and the rough surface currently make it difficult to apply this material to TFBAR's

Acoustic Waves

The concept of acoustic wave is a pervasive one, which emerges in any type of medium, from solids to plasmas, at length and time scales ranging from sub-micrometric layers in microdevices to seismic waves in the Sun's interior. This book presents several aspects of the active research ongoing in this field. Theoretical efforts are leading to a deeper understanding of phenomena, also in complicated environments like the solar surface boundary. Acoustic waves are a flexible probe to investigate the properties of very different systems, from thin inorganic layers to ripening cheese to biological systems. Acoustic waves are also a tool to manipulate matter, from the delicate evaporation of biomolecules to be analysed, to the phase transitions induced by intense shock waves. And a whole class of widespread microdevices, including filters and sensors, is based on the behaviour of acoustic waves propagating in thin layers. The search for better performances is driving to new materials for these devices, and to more refined tools for their analysis

Large space structures and systems in the space station era: A bibliography with indexes (supplement 03)

Bibliographies and abstracts are listed for 1221 reports, articles, and other documents introduced into the NASA scientific and technical information system between January 1, 1991 and June 30, 1991. Topics covered include large space structures and systems, space stations, extravehicular activity, thermal environments and control, tethering, spacecraft power supplies, structural concepts and control systems, electronics, advanced materials, propulsion, policies and international cooperation, vibration and dynamic controls, robotics and remote operations, data and communication systems, electric power generation, space commercialization, orbital transfer, and human factors engineering

Wave Propagation in Materials for Modern Applications

In the recent decades, there has been a growing interest in micro- and nanotechnology. The advances in nanotechnology give rise to new applications and new types of materials with unique electromagnetic and mechanical properties. This book is devoted to the modern methods in electrodynamics and acoustics, which have been developed to describe wave propagation in these modern materials and nanodevices. The book consists of original works of leading scientists in the field of wave propagation who produced new theoretical and experimental methods in the research field and obtained new and important results. The first part of the book consists of chapters with general mathematical methods and approaches to the problem of wave propagation. A special attention is attracted to the advanced numerical methods fruitfully applied in the field of wave propagation. The second part of the book is devoted to the problems of wave propagation in newly developed metamaterials, micro- and nanostructures and porous media. In this part the interested reader will find important and fundamental results on electromagnetic wave propagation in media with negative refraction index and electromagnetic imaging in devices based on the materials. The third part of the book is devoted to the problems of wave propagation in elastic and piezoelectric media. In the fourth part, the works on the problems of wave propagation in plasma are collected. The fifth, sixth and seventh parts are devoted to the problems of wave propagation in media with chemical reactions, in nonlinear and disperse media, respectively. And finally, in the eighth part of the book some experimental methods in wave propagations are considered. It is necessary to emphasize that this book is not a textbook. It is important that the results combined in it are taken “from the desks of researchers“. Therefore, I am sure that in this book the interested and actively working readers (scientists, engineers and students) will find many interesting results and new ideas