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Hybrid SPECT/US
(2014)
eLetter zum Artikel "Hybrid EEG/EOG-based brain/neural hand exoskeleton restores fully independent daily living activities after quadriplegia" von Surjo R. Soekadar et al., veröffentlicht in Science Robotics, Vol. 1, No. 1 (DOI: 10.1126/scirobotics.aag3296)
Nicht-invasives, nicht-ionisierendes funktionelles Neuroimaging mit räumlich und zeitlich hochauflösender Elektroenzephalographie oder Echtzeit-Naheinfrarotspektroskopie in Kombination mit modernen Robotorsystemen ist ein entscheidender Entwicklungsschritt auf dem Gebiet der Neuroprothetik und Brain-Machine-Interfaces. In der Medizintechnik an der Hochschule Offenburg wird hierzu geforscht.
The famous violin virtuoso Nicolò Paganini (born on 27 October 1782 in Genoa, died on 27 May 1840 in Nice) left us with many puzzles. An interesting aspect is his hair: In the 19th century, hair given away as a token of friendship or romantic love became very popular, and Paganini also seems to have made use of this fad. In 2009, a lock of hair, purportedly that of Paganini, kept in a locked presentation box together with a bilingual autograph inscription saying: "Alla Signora Chatterton avec les compliments de Nicolò Paganini" was bought at an auction. From this hair lock a sample was taken and was investigated morphologically by using digital light microscopy (digital microscope VHX-100, Keyence) in reflected and transmitted light with and without polarization at different magnifications up to 1:5,000. The sample was then compared with a hair sample from the possession of the Paganini family, which had been microscopically examined in 2012 by the co-author of this paper yielding numerous figures with measurement results that had been stored and could be retrieved for direct comparison. The hair sample consisted of ten strands of hair or hair fragments and was investigated with great effort for the following parameters: exogenous hair damage, especially feeding traces caused by parasites, modeling and angulation of hairs, hair thickness, medulla and pigmentation, curling and mercury load on the trace material. After evaluation of all findings not only a non-exclusion of identity can be determined, but due to the broad match of also rare findings there is no reasonable doubt about their identity. In addition, the findings suggest that the studied hair samples are in fact from Paganini's head. The present case of Nicolò Paganini's hair lock is also an excellent starting point for reflections on the probative value of trace hair investigations. This point is also critically discussed in the paper. Finally, this study shows that said lock of hair had probably really been dedicated and given to Eliza Davenport Latham (born on 25 November 1806, died on 9 January 1877), the future wife of the, at that time, best-known and most famous English harpist John Balsir Chatterton (born on 25 November 1804, died on 9 April 1871). Paganini must have met her on his concert tour 1831/32, where he had travelled to Paris, London, the rest of England, Scotland and Ireland.
All you need is sleep
(2016)
In 21st century, the century when the humanity hopes to embark on interplanetary travel, we are yet to fully reach an understanding of our very own idiosyncratic terra incognita – the human sleep. Sleep is a highly conserved evolutionary process that constitutes approximately one third of our life, and the lack or inadequate sleep may lead to impairment across multiple cognitive domains (Tononi and Cirelli, 2014; Lim and Dinges, 2010). Sleep deprivation also leads to aberrant brain functioning, immunological and metabolic collapse, and if it is sufficiently prolonged it will ultimately lead to death (Tononi and Cirelli, 2014).
In this study, we tested the function of a replica of the over 500-year-old original of the
famous Franconian Imperial Knight Götz von Berlichingen’s first “iron hand”, which we
reconstructed by computer-aided design (CAD) and recently printed using a multi-material
3D printer. In different everyday tasks, the artificial hand prosthesis proved to be remarkably
helpful. Thus, the hand could hold a wine glass, some grapes, or a smartphone. With a
suitable pencil, even writing was possible without any problem. Although for all these
functions the healthy other hand was necessary to assist at the beginning, the artificial hand
is an astonishing mechanical aid with many possibilities. Therefore, in certain cases, the
non-invasive approach of a passive mechanical hand replacement, which is an individual,
quick and cheap solution due to modern 3D printing, may always be worth considering
also for today’s requirements.
Routine nuclear cardiology examinations indicate heart rate, cardiac rhythm, the height of cardiac pulse and respiration rhythm. It would be of interest to study whether these data, especially if the same tests are repeated, can indicate patients’ well being in the future and perhaps patients’ life span, other factors being equal. Related old theories and suggestions are mentioned. Furthermore, some drugs like I-f channel antagonists and stress tests testing cardiac reserves could support such a study.
In the dual membrane fuel cell (DM-Cell), protons formed at the anode and oxygen ions formed at the cathode migrate through their respective dense electrolytes to react and form water in a porous composite layer called dual membrane (DM). The DM-Cell concept was experimentally proven (as detailed in Part I of this paper). To describe the electrochemical processes occurring in this novel fuel cell, a mathematical model has been developed which focuses on the DM as the characteristic feature of the DM-Cell. In the model, the porous composite DM is treated as a continuum medium characterized by effective macro-homogeneous properties. To simulate the polarization behavior of the DM-Cell, the potential distribution in the DM is related to the flux of protons and oxygen ions in the conducting phases by introducing kinetic and transport equations into charge balances. Since water pressure may affect the overall formation rate, water mass balances across the DM and transport equations are also considered. The satisfactory comparison with available experimental results suggests that the model provides sound indications on the effects of key design parameters and operating conditions on cell behavior and performance.
Die Geschäftsleitung und Führungskräfte von Eller Repro+Druck beschlossen im Juli 1994 die Teilnahme am damls noch neuen EU-Öko-Audit. Die Durchführung des Audits ist für 1996 geplant. Zwei Diplomanden der FH Offenburg wurde die Möglichkeit gegeben, als externe Berater für Eller Repro+Druck ihre Diplomarbeit über die Vorbereitung zum Öko-Audit zu schreiben. Der Betrieb (170 Mitarbeiter) verfügt über elektronische Bildverarbeitung auf Scitex- und Mac-Schiene, derzeit noch konventionelle Plattenkopie und -entwicklung, fünf Offsetrotationen sowie Weiterverarbeitung mit Sammelheftern und Falzmaschinen. Der Referent berichtet über die Erfahrungen, die sein Unternehmen bis zum Herbst 1995 mit der Vorbereitung zum Öko-Audit gemacht hat, und gibt Praxistips. Zusammen mit den Beratern wurden eine Aufnahme der betrieblichen Situation durchgeführt, Maßnahmen geplant und zum Teil durchgeführt.
A disturbed synchronization of the ventricular contraction can cause a highly developed systolic heart failure in affected patients with reduction of the left ventricular ejection fraction, which can often be explained by a diseased left bundle branch block (LBBB). If medication remains unresponsive, the concerned patients will be treated with a cardiac resynchronization therapy (CRT) system. The aim of this study was to integrate His-bundle pacing into the Offenburg heart rhythm model in order to visualize the electrical pacing field generated by His-Bundle-Pacing. Modelling and electrical field simulation activities were performed with the software CST (Computer Simulation Technology) from Dessault Systèms. CRT with biventricular pacing is to be achieved by an apical right ventricular electrode and an additional left ventricular electrode, which is floated into the coronary vein sinus. The non-responder rate of the CRT therapy is about one third of the CRT patients. His- Bundle-Pacing represents a physiological alternative to conventional cardiac pacing and cardiac resynchronization. An electrode implanted in the His-bundle emits a stronger electrical pacing field than the electrical pacing field of conventional cardiac pacemakers. The pacing of the Hisbundle was performed by the Medtronic Select Secure 3830 electrode with pacing voltage amplitudes of 3 V, 2 V and 1,5 V in combination with a pacing pulse duration of 1 ms. Compared to conventional pacemaker pacing, His-bundle pacing is capable of bridging LBBB conduction disorders in the left ventricle. The His-bundle pacing electrical field is able to spread via the physiological pathway in the right and left ventricles for CRT with a narrow QRS-complex in the surface ECG.
Background: A disturbed synchronization of the ventricular contraction can cause a highly developed systolic heart failure in affected patients, which can often be explained by a diseased left bundle branch block (LBBB). If medication remains unresponsive, the concerned patients will be treated with a cardiac resynchronization therapy (CRT) system. The aim of this study was to integrate His bundle pacing into the Offenburg heart rhythm model in order to visualize the electrical pacing field generated by His bundle pacing.
Methods: Modelling and electrical field simulation activities were performed with the software CST (Computer Simulation Technology) from Dessault Systèms. CRT with biventricular pacing is to be achieved by an apical right ventricular electrode and an additional left ventricular electrode, which is floated into the coronary vein sinus. This conventional type of biventricular pacing leads to a reduction of the left ventricular ejection fraction. Furthermore, the non-responder rate of the CRT therapy is about one third of the CRT patients.
Results: His bundle pacing represents a physiological alternative to conventional cardiac pacing and cardiac resynchronization. An electrode implanted in the His bundle emits a stronger electrical pacing field than the electrical pacing field of conventional cardiac pacemakers. The pacing of the His bundle was performed by the Medtronic Select Secure 3830 electrode with pacing voltage amplitudes of 3 V, 2 V and 1.5 V in combination with a pacing pulse duration of 1 ms.
Conclusions: Compared to conventional cardiac pacemaker pacing, His bundle pacing is capable of bridging LBBB conduction disorders in the left ventricle. The His bundle pacing electrical field is able to spread via the physiological pathway in the right and left ventricles for CRT with a narrow QRS-complex in the surface ECG.
This study presents some results from a monitoring project with night ventilation and earthto-air heat exchanger. Both techniques refer to air-based low-energy cooling. As these technologies are limited to specific boundary conditions (e.g. moderate summer climate, low temperatures during night, or low ground temperatures, respectively), water-based low-energy cooling may be preferred in many projects. A comparison of the night-ventilated building with a ground-cooled building shows major differences in both concepts.
In der Planungs- und Betriebspraxis herrscht im Bereich der Betriebsführung von thermisch aktivierten Bauteilsystemen und insbesondere der thermisch trägen Bauteilaktivierung noch große Unsicherheit. Trotz einer weiten Verbreitung dieser Systeme im Neubau von Nichtwohngebäuden hat sich bis heute keine einheitliche Betriebsführungsstrategie durchgesetzt. Vielmehr kritisieren Bauherren und Nutzer regelmäßig zu hohe bzw. niedrige Raumtemperaturen in den Übergangsjahreszeiten und bei Wetterwechsel sowie generell eine mangelhafte Regelbarkeit. Demgegenüber weisen Monitoringprojekte immer wieder einen hohen thermischen Komfort in diesen Gebäuden nach. Offensichtlich unterscheiden sich hier subjektiv empfundene Behaglichkeit und objektiv gemessener Komfort. Gleichzeitig sind Heiz- und Kühlkonzepte mit Flächentemperierung dann besonders energieeffizient, wenn das Regelkonzept auf deren thermische Trägheit angepasst ist. Eine gute Regelung gewährleistet also einen hohen thermischen Komfort und sorgt für einen möglichst niedrigen Energieeinsatz. Das Rechenverfahren mit Anlagenaufwandszahlen (in Anlehnung an DIN V 18599) bietet eine gute Möglichkeit, Anlagenkonzepte inklusive deren Betriebsführungsstrategie zu bewerten. Damit ist es möglich, eine auf das Gebäude angepasste Betriebsführungsstrategie für die Bauteilaktivierung zu finden und einheitlich zu bewerten.
Mit der Messung des Wärme- und Kälteverbrauchs im Labor gelingt es, sowohl thermisch träge als auch agile Flächentemperiersysteme unter praxisnahen, dynamischen Bedingungen messtechnisch zu bewerten. Werden Nutzwärme- und Nutzkältebedarf berechnet und ins Verhältnis zu den gemessenen Verbräuchen gesetzt, können die Aufwandzahlen für die Nutzenübergabe ece für verschiedene Flächentemperiersysteme und in Kombinationen mit anderen Übergabesystemen unter verschiedenen Nutzungsbedingungen und für unterschiedliche Betriebsführungsstrategien bestimmt werden. Damit stehen Aufwandszahlen auf Basis kalorischer Messungen zur Verfügung, die je nach Aufgabenstellung entweder produkt- oder objektbezogen in der Planung komplexer Energiekonzepte verwendet werden können und die tatsächlichen Aufwandszahlen eh, ce für den Heizfall bzw. ec, ce für den Kühlfall genauer als Literaturwerte bzw. projektbezogen beschreiben
Unter dem europäischen Programm Intelligent Energy for Europe (IEE) fanden sich acht europäische Partner zusammen, um im Rahmen des Projektes ThermCo Lüftungs‐ und Kühlenergiekonzepte für Nichtwohngebäude mit niedrigem Energieeinsatz im Hinblick auf die Energieeffizienz und den thermischen Raumkomfort zu bewerten (siehe Teil 1 dieser Veröffentlichung in Bauphysik 34 (2012), Heft 6. Mit Hilfe einer Simulationsstudie für ein typisches Bürogebäude wird das Potenzial unterschiedlicher Lüftungs‐ und Kühlstrategien unter Berücksichtigung von Energieeffizienz und Raumkomfort für verschiedene europäische Klimazonen bewertet. Die Ergebnisse weisen eine hohe Wirksamkeit von Nachtlüftungskonzepten im nord‐europäischen Sommerklima mit verhältnismäßig niedrigen Außentemperaturen nach. Im mitteleuropäischen Sommerklima bietet das Erdreich ein ausreichend niedriges Temperaturniveau für den effizienten Einsatz von wassergeführten Flächentemperiersystemen. Im südeuropäischen Sommerklima kann eine aktive Kühlung über Luft die hohen und schnell fluktuierenden Kühllasten effizient abführen.
Bauteilaktivierung
(2015)
The German Weather Service (DWD) releases a heat warning, when the weather forecast provides a warm, humid, sunny, and windless weather condition during the next days. The heat stress is calculated by the so called Klima-Michel model. If the apparent air temperature exceeds ca. 32°C / 38°C, there is a strong / extreme heat stress. The smallest forecast area is each administrative district. As people (and especially the vulnerable population) stay most of the time indoors, the heat health warning system was extended by the prediction of heat stress in typical rooms. Therewith it is feasible to forecast the heat stress using a combination of the outdoor and indoor heat stress. The prediction for the indoor heat stress is based on the same weather forecast like the Heat Health Warning Systems (HHWS).and calculates the heat stress by the PMV-model (predicted mean vote). Based on a sophisticated data analysis and simulation study, realistic but summer-critical living situations were defined and implemented in the building simulation program ESP-r. As the simulation runs especially for extreme weather conditions, a simplified building model cannot be used. Standardized input/output routines and an adaptive handover of start values provide for short run times for each forecast area. Good building designs and urban planning provide effective measures to reduce heat stress in cities. However, we have to also pay attention to the present building stock under climate change and a higher heat-wave risk. The extended German HHWS provide information for the emergency services to support the social assistants during heat waves.
Thermisch angetriebene (Adsorptions-)Kältemaschinen können mit einem verhältnismäßig geringen elektrischen Energieaufwand bzw. mit einer hohen elektrischen Leistungszahl Kälte bereitstel-len. Wird die zum Antrieb erforderliche Wärme aus industrieller Abwärme bereitgestellt, ist diese Kältebereitstellung energetisch effizienter als die Kältebereitstellung über eine Kompressionskäl-temaschine. Wird die Wärme jedoch in Kraft-Wärme-Kopplung bereitgestellt, ist die primärenergetische Bewertung sowohl von mehreren Teilwirkungsgraden als auch den Primärenergiefaktoren für den eingesetzten Brennstoff und die erzeugte bzw. bezogene elektrische Energie abhängig. Eine umfangreiche Messkampagne im Sommer 2018 liefert unter realitätsnahen Randbedingungen in einer Labor umgebung detaillierte Energiekennzahlen für einen typischen Tagesgang des Kältebedarfs. Damit gelingt es, Teilenergiekennwerte für die Planungspraxis abzuleiten und das Gesamtsystem energetisch mit einer konventionellen Kompressionskältemaschine zu vergleichen.
Dieser technische Bericht stellt die Verwendung der Zuwendung und der erzielten Ergebnisse im Einzelnen dar. Die Gegenüberstellung mit den vorgegebenen Zielen erfolgt anhand der Beschreibung des Arbeitspakete. Die Verwendung der Zuwendung und Gegenüberstellung mit den vorgegebenen Zielen wird anhand der Arbeitspakete beschrieben, um den Abgleich zwischen Planung und durchgeführten Arbeiten unmittelbar darstellen zu können.
In this paper, we present a frame synchronization method which consists of the non-orthogonal superposition of a synchronization sequence and the data. We derive the optimum detection criterion and compare it to the classical sequential concatenation of synchronization and data sequences. Computer simulations confirm the benefits of the non-orthogonal allocation for the case of short frames, which makes this technique particularly suited for the increasingly important regime of low latency and ultra- reliable communication.
The high peak power in comparison to the average transmit power is one of the major long-standing problems in multicarrier modulation and is known as the PAPR (peak to average power ratio) problem. Many PAPR reduction methods have been devised and their comparison is usually based on the complementary cumulative distribution function (CCDF) of the PAPR. While this comparison is straightforward and easy to compute, its relationship with system performance metrics like the (uncoded) BER or the word error rate (WER) for coded systems is considerably more involved. We evaluate the impact of the PAPR on performance metrics like uncoded BER, EVM (error vector magnitude), mutual information and the WER for soft decoding. In this context, we find that system performance is not necessarily degraded by an increasing PAPR. We show that a high number of subcarriers, despite the corresponding high PAPR, is actually not a problem for the system performance and provide a simple explanation for this seemingly counter-intuitive fact.
We describe a prototype for power line communi- cation for grid monitoring. The PLC receiver is used to gain information about the PLC channel and the current state of the power grid. The PLC receiver uses the communication signal to obtain an accurate estimate of the current channel and provides information which can be used as a basis for further processing with the aim to detect partial discharges and other anomalies in the grid. This monitoring of the power grid takes advantage of existing PLC infrastructure and uses the data signals, which are transmitted anyway to obtain a real-time measurement of the channel transfer function and the received noise signal. Since this signal is sampled at a high sampling rate compared to simpler measurement sensors, it contains valuable information about possible degradations in the grid which need to be addressed. While channel measurements are based on a received PLC signal, information about partial discharges or other sources of interference can be gathered by a PLC receiver in the absence of a transmit signal. A prototype based on Software Defined Radio has been developed, which implements the simultaneous communication and sensing for a power grid.
In this paper, we establish a simple model for the exchange of messages in a vehicular network and we consider fundamental limits on the achievable data rate. For a vehicular network, the exchange of data with other nearby vehicles is particularly important for traffic safety, e.g. for collision avoidance, but also for cooperative applications like platooning. These use cases are currently addressed by standards building on IEEE 802.11p, namely ITS-G5 and DSRC (dedicated short range communication), which encounter saturation problems at high vehicle densities. For this reason, we take a step back and ask for the fundamental limits for the common data rate in a vehicular network. After defining a simple single-lane model and the corresponding capacity limits for some basic multiple- access schemes, we present results for a more realistic setting. For both scenarios, non-orthogonal multiple-access (NOMA) yields the best results.
The aim of this study was to develop a biomechanically validated finite element model to predict the biomechanical behaviour of the human lumbar spine in compression.
For validation of the finite element model, an in vitro study was performed: Twelve human lumbar cadaveric spinal segments (six segments L2/3 and six segments L4/5) were loaded in axial compression using 600 N in the intact state and following surgical treatment using two different internal stabilisation devices. Range of motion was measured and used to calculate stiffness.
A finite element model of a human spinal segment L3/4 was loaded with the same force in intact and surgically altered state, corresponding to the situation of biomechanical in vitro study.
The results of the cadaver biomechanical and finite element analysis were compared. As they were close together, the finite element model was used to predict: (1) load-sharing within human lumbar spine in compression, (2) load-sharing within osteoporotic human lumbar spine in compression and (3) the stabilising potential of the different spinal implants with respect to bone mineral density.
A finite element model as described here may be used to predict the biomechanical behaviour of the spine. Moreover, the influence of different spinal stabilisation systems may be predicted.
Artificial Intelligence (AI) can potentially transform many aspects of modern society in various ways, including automation of tasks, personalization of products and services, diagnosis of diseases and their treatment, transportation, safety, and security in public spaces, etc. Recently, AI technology has been transforming the financial industry, offering new ways to analyse data and automate processes, reduce costs, increase efficiency, and provide more personalized services to customers. However, it also raised important ethical and regulatory questions that need to be addressed by the industry and society as a whole. The aim of the Erasmus+ project Transversal Skills in Applied Artificial Intelligence - TSAAI (KA220-HED - Cooperation Partnerships in higher education) has been to establish a training platform that will incorporate teaching guidelines based on a curriculum covering different areas of application of AI technology. In this work, we will focus on applying AI models in the financial and insurance sectors.
The Bluetooth community is in the process to develop mesh technology. This is highly promising as Bluetooth is widely available in Smart Phones and Tablet PCs, allowing an easy access to the Internet of Things. In this paper work, we investigate the performance of Bluetooth enabled mesh networking that we performed to identify the strengths and weaknesses. A demonstrator for this protocol has been implemented by using the Fruity Mesh protocol implementation. Extensive test cases have been executed to measure the performance, the reliability, the power consumption and the delay. For this, an Automated Physical Testbed (APTB), which emulates the physical channels has been used. The results of these measurements are considered useful for the real implementation of Bluetooth; not only for home and building automation, but also for industrial automation.
Die Wichtigkeit des Faches FEM ist sicher unumstritten. Um in der gegebenen Zeit eine ausreichende Einarbeitung in die Methode und die Uebung am Rechner durchfuehren zu koennen, ist der Einsatz eines auf PC lauffaehigen FE-Lernprogramms eine gute Hilfe. Sind die Grundlagen da, weiss der Student, welche Eingaben bei einem FE-Programm zu machen sind. Fuer manche Fachgebiete genuegt schon die Arbeit mit einem solchen Programm. Sind entsprechende Uebungen mit dem Lernprogramm erfolgt, kann auf professionellen Programmen wie z.B. CAEDS das Zusammenspiel CAD/FEM ernsthaft betrieben werden. Es sollte ein Fachsemester ausgesucht werden, in dem CAD und FE angeboten wird. Dieses Fachsemester sollte, um den Nutzen der FEM in moeglichst vielen Fachgebieten zu haben, zum Ende des Grundstudiums, spaetestens aber zu Beginn des Hauptstudiums liegen.
Vom Tragverhalten und von der Geometrie (eben oder gekrümmt, linien- oder flächenhaft ausgeprägt) her unterscheidet man Sandwich-Balken, Sandwich-Platten, -Scheiben und -Schalen. Im Normalfall hat man ein Zusammenwirken aus drei Schichten: Den zug- bzw. druckaufnehmenden Deckschichten und der schubbelasteten Kernschicht. Die Klebverbindung von Kern- und der jeweiligen Deckschicht hat mindestens die kraftübertragende Eigenschaft der schwächsten Schicht (d.h. der Schicht mit dem kleinsten E-Modul) aufzuweisen. Dies ist in der Regel die Kernschicht. Diese Eigenschaft der Verklebung muss über die Lebensdauer des Tragwerkes erhalten bleiben. Bei rein statischer Belastung sind die Verklebung in ihrer Zeitfestigkeit und das Lastkriechen der schubaufnehmenden Kernschicht zu beachten. Bei dynamischer Belastung sind die entsprechenden Wöhler-Kurven zu beachten. Viele Klebstoffe sind dynamisch belastbar. Wenn man die Festigkeits- und Steifigkeitsberechnung durchführen möchte, kann die so genannte exakte Berechnungsmethode über gekoppelte partielle Differenzialgleichungen zum Ziel führen. Neben der Berechnung der Verformungen und Spannungen infolge Platten- und Scheibenwirkung kommen bei hochbelasteten gekrümmten Sandwich-Bauteilen auch die Koppelgleichungen von Platte und Scheibe zur Schale hinzu. Außerdem kommt bei dünnen, unter Druck stehenden Deckschichten die Abschätzung der Knitterspannungen hinzu, die ja nach der Bettung der Deckschicht auf der Kernschicht weitestgehend von der Dehnsteifigkeit der Kernschicht abhängt. Seit den 60-er Jahren hat sich die Finite-Elemente-Methode als eine computergestützte Berechnungsmethode etabliert, die zwar als Näherungsmethode definiert ist aber eine hervorragende Genauigkeit in der Spannungs- und Steifigkeitsberechnung bietet.
Клиновые акустические волны в твёрдом те-ле — это третий фундаментальный тип волн, после объёмных и поверхност-ных волн, импульсы которых распространяются без изменений своих форм (дисперсия отсутствует). Систему упругого клина можно получить из систе-мы упругого полупространства, “разрезав” его вдоль некоторой плоскости, а систему упругого полупространства можно получить из распределённой в пространстве упругой среды тем же методом, поэтому связи между поверх-ностными и объёмными волнами должны во многом повторяться при рас-смотрении клиновых и поверхностных волн. Например, существование быст-рых псевдоповерхностных волн в системе упругого полупространства, излу-чающих энергию при распространении в объёмные волны, имеет свой аналог и для системы упругого клина: совсем недавно были открыты псевдоклино-вые волны, излучающие как объёмные, так и поверхностные волны по мере своего распространения. С другой стороны, в этой же последовательности объёмных, поверхностных и клиновых волн должны выделяться и отличи-тельные особенности. Если поверхностные волны отличаются от объёмных волн тем, что они локализованы на двухмерной поверхности (объёмные вол-ны являются нелокализованными), то клиновые волны локализованы вдоль одномерной поверхности (линии) — кромки клина. Клиновые волны — это волноводные акустические волны, которые распространяются без дифракци-онных потерь, а также они не обладают дисперсией, поскольку в системе бесконечного упругого клина нет ни одного параметра размерности длины.
В заключении приведены основные результаты работы, которые со-стоят в следующем:
1. С помощью метода функций Лагерра была построена функция динами-ческого отклика на импульсный линейный источник (функция Грина) для задачи Лэмба в полупространстве, а также были изучены вопросы о сходимости и устойчивости данного построения. Было показано, что в предельном случае построенная функция динамического отклика совпа-дает с классической функцией Грина для этой задачи.
2. На основе результатов предыдущего пункта была построена функция Грина для упругого клина (и функция плотности состояния на кром-ке, совпадающая с диагональными компонентами функции Грина), с по-мощью которой удалось идентифицировать импульсы псевдоклиновых волн на экспериментальных кривых.
3. Для определённых клиновых конфигураций в анизотропных упругих средах (тетрагональных кристаллах) удалось получить критерий суще-ствования клиновых волн на основе характеристик поверхностных волн, распространяющихся на гранях исследуемых конфигураций, а также в некоторых случаях удалось классифицировать клиновые волны по типу симметрии.
4. Была разработана теория, описывающая формы импульсов клиновых волн при различных режимах генерации: абляционном и термоупругом.
5. Для клиновых волн была представлена нелинейная теория второго по-рядка. Были проведены численные расчёты функции ядра эволюцион-ного уравнения клиновых волн для кремниевых клиньев с одной гранью, совпадающей с поверхностью (111) (поверхность скола), и с произволь-ной ориентацией второй грани.
6. Были описаны фундаментальные отличия нелинейных линовых волн от нелинейных объёмных и поверхностных волн, а также было проведено численное моделирование эволюции импульса клиновых волн, которое показало соответствие теории эксперименту.
7. Получены решения солитонного типа для клиновых волн. Рассмотрены взаимодействия солитонов и свойства солитонного распада.
A laser-operated, angle-tunable transducer was employed to excite selectively elastic waves guided along the apex of a solid wedge. The propagation of wedge waves at anisotropic monocrystalline silicon edges with different symmetry properties was studied by optical detection. The reduced symmetry in crystals, as compared to isotropic media, causes a number of new features, such as the existence of supersonic leaky wedge waves, tilted spatial pulse profiles, and other peculiarities of their localization. Experimental and theoretical results are presented for three different types of symmetry configurations: the wedge symmetric about its midplane, the wedge symmetric about the plane normal to its apex line, and the wedge symmetric about one of its faces. The experiments include accurate measurements of the phase velocity and the wave field distribution, providing information on localization and coupling of wedge waves with other waves. Theoretically, the wedge waves were treated by the Laguerre function method, extended to modes that are not localized at the tip of the wedge. This approach allowed an accurate description of the observed localized and leaky wedge waves in anisotropic wedges.
Nonlinear acoustic waves are considered that have displacements localized at the tip of an elastic wedge. The evolution equation governing their propagation is discussed and compared with its analogues pertaining to nonlinear acoustic surface and bulk waves. Solitary wave solutions of the evolution equation have been determined numerically for the cases of two rectangular edges which may be viewed as generated by splitting a half-space, consisting of crystalline silicon, into two quarter-spaces. For these two geometries, the kernel in the nonlinear terms of the evolution equation has been calculated from the second-order and third-order elastic constants of silicon, and weak dispersion due to tip truncation has been considered. Solitary pulse shapes have been computed and collisions of solitary pulses have been simulated for various relative speeds of the two collision partners. Collision scenarios for the two wedge geometries were found to differ considerably. Special attention is paid to the peculiar interaction of two initially identical solitary pulses.