@article{9765,
  abstract     = {{The multi-objective optimal design of a piezoelectric sandwich ultrasonic transducer is studied. The maximum vibration amplitude and the minimum electrical input power are considered as optimization objectives. Design variables involve continuous variables (dimensions of the transducer) and discrete variables (material types). Based on analytical models, the optimal design is formulated as a constrained multi-objective optimization problem. The optimization problem is then solved by using the elitist non-dominated sorting genetic algorithm (NSGA-II) and Pareto-optimal designs are obtained. The optimized results are analyzed and the preferred design is proposed. The optimization procedure presented in this contribution can be applied in multi-objective optimization problems of other piezoelectric transducers.}},
  author       = {{Hemsel, Tobias and Fu, Bo and Jing, Yi and Fu, Xuan}},
  journal      = {{Key Engineering Materials}},
  pages        = {{1808--1812}},
  publisher    = {{Trans Tech Publ}},
  title        = {{{Multi-Objective Optimization of a Piezoelectric Sandwich Ultrasonic Transducer by Using Elitist Non-Dominated Sorting Genetic Algorithm}}},
  doi          = {{10.4028/www.scientific.net/KEM.474-476.1808}},
  volume       = {{474 - 476}},
  year         = {{2011}},
}

@article{9767,
  abstract     = {{The paper presents the results of numerical and experimental investigation of cylindrical piezoelectric actuator used for achieving independent three degrees of freedom oscillations of the contact point. The design of actuator based on a hollow piezoelectric cylinder mounted on a metal rod. The piezoceramic cylinder has a radial polarization and special configuration of the electrodes that cover inner and outer surface of the cylinder. The main advantage of actuator's design is that solid metallic rod operates as a part of inner electrode of the cylinder and a stator of actuator. The geometry of piezoelectric actuator was adopted to reach resonance of oscillations for the first longitudinal mode and the third flexural mode at same frequency. The actuator is designed to move positioned object through contact point which is located on the top of the rod. The optimal topology of electrodes was found to achieve longitudinal and flexural oscillations of the actuator in two perpendicular planes. Three degrees of freedom of the positioning object can be achieved and control of the system can be implemented by applying different excitation schemes and regimes. The numerical simulation and experimental study of piezoelectric actuator was performed. Impedance of actuator was analyzed under different excitation regimes. The results of numerical modeling and experimental study were compared. Recommendations for the further development of this type of actuator are given.}},
  author       = {{Lucinskis, Raimundas and Mazeika, Dalius and Hemsel, Tobias and Bansevicius, Ramutis}},
  journal      = {{AIP Conference Proceedings}},
  keywords     = {{dielectric polarisation, piezoceramics, piezoelectric actuators}},
  number       = {{1}},
  pages        = {{693--696}},
  publisher    = {{AIP}},
  title        = {{{Multi-DOF cylindrical piezoelectric actuator with radial polarization}}},
  doi          = {{10.1063/1.3703277}},
  volume       = {{1433}},
  year         = {{2011}},
}

@inproceedings{9768,
  author       = {{Lurie, Oleg and Kromov, Ivan and Trächtler, Ansgar and Sondermann-Wölke, Christoph and Sextro, Walter}},
  booktitle    = {{25. Tagung Technische Zuverlässigkeit (TTZ 2011) - Entwicklung und Betrieb zuverlässiger Produkte}},
  pages        = {{99--110}},
  title        = {{{Dependability Analysis of the Degradation Behavior of Mechatronics Systems with Different Operating Strategies}}},
  year         = {{2011}},
}

@article{9769,
  abstract     = {{In this study, we report some improvements in a hydrothermal method for lead-free piezoelectric powders and the performance of the sintered (K$_{0.48}$Na$_{0.52}$)NbO$_{3}$ ceramics. To increase the obtained powder weight per source solution volume, the hydrothermal reaction conditions were modified. This improvement is important for mass production; however, it resulted in a larger particle size dispersion. Therefore, we examined to introduced the ball milling process that is useful for dense (K$_{0.48}$Na$_{0.52}$)NbO$_{3}$ ceramics. When a large amount of powder was obtained, it took a long time to eliminate the residual alkaline ions in the hydrothermal powders by a washing process. Therefore, a neutralization was conducted in the powder washing process. Using this powder, a solid solution of (K,Na)NbO$_{3}$ceramics was synthesized. The relative density was successfully increased. Concerning the electrical properties, the relative permittivity was improved, and the piezoelectric constant d$_{33}$ was also increased from 114 to 130 pC/N.}},
  author       = {{Maeda, Takafumi and Hemsel, Tobias and Morita, Takeshi}},
  journal      = {{Japanese Journal of Applied Physics}},
  pages        = {{07HC01}},
  publisher    = {{The Japan Society of Applied Physics}},
  title        = {{{Improved Process for Hydrothermal Lead-Free Piezoelectric Powders and Performances of Sintered (K0.48Na0.52)NbO3 Ceramics}}},
  volume       = {{50}},
  year         = {{2011}},
}

@inproceedings{9770,
  abstract     = {{One cannot image today's life without mechatronic systems, which have to be developed in a joint effort by teams of mechanical engineers, electrical engineers, control engineers and software engineers. Often these systems are applied in safety critical environments like in cars or aircrafts. This requires systems that function correctly and do not cause hazardous situations. However, random errors due to wear or external influences cannot be completely excluded. Consequently, we have to perform a hazard analysis for the system. Further, the union of four disciplines in one system requires the development and analysis of the system as a whole. We present a component-based hazard analysis that considers the entire mechatronic system including hardware, i.e. mechanical and electrical components, and software components. Our approach considers the physical properties of different types of flow in mechatronic systems. We have identified reusable patterns for the failure behavior which can be generated automatically. This reduces the effort for the developer. As cycles, e.g. control cycles, are an internal part of every mechatronic system our approach is able to handle cycles. The presented approach has been applied to a real-life case study.}},
  author       = {{Priesterjahn, Claudia and Sondermann-Wölke, Christoph and Tichy, Mathias and Hölscher, Christian}},
  booktitle    = {{Proc. of the 2nd IEEE International Workshop MoBE-RTES at the 14th IEEE International Symposium on Object/Component/Service-oriented Real-time Distributed Computing (ISORC)}},
  publisher    = {{IEEE Computer Society}},
  title        = {{{Component-based Hazard Analysis for Mechatronic Systems}}},
  year         = {{2011}},
}

@inproceedings{9771,
  abstract     = {{Dieser Beitrag stellt ein Konzept vor, welches die Methode der Mehrzieloptimierung mit einer Online-Bewertung des aktuellen Systemzustands kombiniert. Dieses erlaubt Maßnahmen zur Zuverlässigkeitssteigerung abzuleiten. Das Konzept wird auf ein X-by-wire-Fahrzeug mit Einzelradaktorik angewandt. Dabei steht zunächst die Beeinflussung der Ziele der Mehrzieloptimierung zugunsten der Zuverlässigkeit des Systems im Vordergrund. In Simulationen wird gezeigt, dass über die Wahl und Gewichtung der Zielfunktionen die Quer- und Längskräfte an den Rädern vorteilhaft verteilt werden können. 

In this contribution a concept is illustrated, which combines the multi-objective optimization technique with an online assessment of the current system state. This allows deriving measures to increase the reliability of the system. The concept is applied to an X-by-wire vehicle with single-wheel actuators. The emphasis is here mostly on the influence of the objectives of the multiobjective optimization for the benefit of the reliability of the system. It is demonstrated in simulations, that the lateral and longitudinal forces at the wheels can be distributed advantageously by the selection of the suitable objective functions and the appropriate weights.}},
  author       = {{Sondermann-Wölke, Christoph and Sextro, Walter and Reinold, Peter and Trächtler, Ansgar}},
  booktitle    = {{25. Tagung Technische Zuverlässigkeit (TTZ 2011) - Entwicklung und Betrieb zuverlässiger Produkte}},
  pages        = {{291--302}},
  title        = {{{Zuverlässigkeitsorientierte Mehrzieloptimierung zur Aktorrekonfiguration eines X-by-wire-Fahrzeugs}}},
  year         = {{2011}},
}

@article{9772,
  abstract     = {{A profound description of friction in wheel--rail contact plays an essential role for optimization of traction control strategies, as input quantity for railway simulations in general and for the estimation of wear and rolling contact fatigue. A multitude of wheel--rail contact models exists, however, traction--creepage curves obtained from measurements show quantitative and qualitative deviations. There are several phenomena which influence the traction--creepage characteristics: Mechanisms resulting from surface roughness, frictional heating or the presence of interfacial fluids can have a dominating influence on friction. In this paper, a new wheel--rail contact model, accounting for these influential parameters, will be presented. The presented model accounts for the interaction of an interfacial fluid model for combined boundary and mixed lubrication of rough surfaces with a wheel--rail contact model that additionally accounts for frictional heating. A quantitative comparison with measurements found in the literature is not conducted, since the exact conditions of the measurements are mostly unknown and parameters can easily be adjusted to fit the measurements. Emphasis is placed on the qualitative behavior of the model with respect to the measurements and good agreement is found. The dependence of the maximum traction coefficient on rolling velocity, surface roughness and normal load is studied under dry and water lubricated conditions.}},
  author       = {{Tomberger, Christoph and Dietmaier, Peter and Sextro, Walter and Six, Klaus}},
  issn         = {{0043-1648}},
  journal      = {{Wear}},
  keywords     = {{Wheel--rail contact, Rolling contact, Friction, Interfacial fluid, Lubrication, Surface roughness, Contact temperature}},
  pages        = {{2 -- 12}},
  title        = {{{Friction in wheel--rail contact: A model comprising interfacial fluids, surface roughness and temperature}}},
  doi          = {{10.1016/j.wear.2010.10.025}},
  volume       = {{271}},
  year         = {{2011}},
}

@article{9877,
  author       = {{Isobe, Gaku and Bornmann, Peter and Hemsel, Tobias and Morita, Takeshi}},
  journal      = {{Proceedings of Symposium on Ultrasonic Electronics}},
  pages        = {{19--20}},
  publisher    = {{Trans Tech Publ}},
  title        = {{{High temperature tolerant transducer for Ultrasonic Assisted Hydrothermal Method}}},
  volume       = {{32}},
  year         = {{2011}},
}

@misc{9790,
  abstract     = {{Es wird eine Anordnung zur mehrdimensionalen Messung von Schwingungen eines Objektes vorgeschlagen, umfassend ein Vibrometer und eine erste Ablenkeinheit, mittels welcher der Messstrahl des Vibrometers in wenigstens zwei erste Raumrichtungen ablenkbar ist, sowie wenigstens eine zweite Ablenkeinheit, mittels welcher der aus einer der wenigstens zwei ersten Raumrichtungen auf eine zweite Ablenkeinheit eintreffende Messstrahl derart ablenkbar ist, dass ein Messpunkt des Objekts aus einer ersten Raumrichtung und wenigstens einer zweiten Raumrichtung oder wenigstens zwei zweiten Raumrichtungen damit erfassbar ist. Bei dem zum Betrieb der Anordnung vorgesehenen Verfahren wird der Messstrahl eines Vibrometers in wenigstens zwei erste Raumrichtungen abgelenkt, woraufhin wenigstens ein Messstrahl einer ersten Raumrichtung ein zweites Mal derart abgelenkt wird, dass ein Messpunkt des Objekts aus einer ersten Raumrichtung und wenigstens einer zweiten Raumrichtung oder wenigstens zwei zweiten Raumrichtungen erfasst wird, insbesondere so dass die zu untersuchenden Bewegungskomponenten in den Messsignalen, welche entlang der ersten und zweiten Raumrichtungen gewonnen werden, enthalten sind. The arrangement has a first deflecting unit (3) for deflecting a measuring beam of a vibrometer (2) in spatial directions (4-6, 4-6). Second and third deflecting units (7, 8) deflect the beam arriving from one of the spatial directions such that a measuring point (9) of an object (1) is detectable with the beam from the spatial direction or the spatial directions. The first deflecting unit is designed as a scanning unit, where the measuring point is detected by the scanning unit. A measuring instrument measures focus quality and is connected to actuators for adjustment of the focus quality. An independent claim is also included for a method for multidimensional measurement of oscillations of an object.}},
  author       = {{Sextro, Walter and Hunstig, Matthias and Bornmann, Peter and Hemsel, Tobias}},
  title        = {{{Patent DE10201003395: Anordnung und Verfahren zur mehrdimensionalen Messung von Schwingungen eines Objekts. }}},
  year         = {{2011}},
}

@article{9743,
  abstract     = {{The hydrothermal method enables the production of high-quality piezoelectric materials. In this study, we propose to irradiate the reaction solutions with ultrasonic power during the hydrothermal method to obtain a shorter reaction time and a smooth film surface. A high-pressure reaction container for the ultrasonic transducer was newly developed, and the ultrasonically-assisted hydrothermal method was examined by using this container. The effect of ultrasonic assist on the synthesis of lead-zirconate-titanate (PZT) thin films and (K,Na)NbO$_{3}$ powders was verified. Thicker PZT film, thickness around 10 ${\mu}$m, could be obtained in one process, and (K,Na)NbO$_{3}$ powder was synthesized in half the previous reaction time.}},
  author       = {{Ageba, Ryo and Kadota, Yoichi and Maeda, Takafumi and Takiguchi, Norihito and Morita, Takeshi and Ishikawa, Mutsuo and Bornmann, Peter and Hemsel, Tobias}},
  issn         = {{1948-5719}},
  journal      = {{Journal of Korean Physical Society}},
  keywords     = {{Hydrothermal method, High-power ultrasonic, PZT thin film, Lead-free piezoelectric materials}},
  number       = {{4}},
  pages        = {{918--923}},
  title        = {{{Ultrasonically-assisted Hydrothermal Method for Ferroelectric Material Synthesis}}},
  doi          = {{10.3938/jkps.57.918}},
  volume       = {{57}},
  year         = {{2010}},
}

@article{9744,
  abstract     = {{Direct ultrasound irradiation is advantageous to increase the efficiency of the hydrothermal method which can be used for the production of piezoelectric thin films and lead free piezoelectric ceramics. To apply ultrasound directly to the process transducer prototypes were developed regarding the boundary conditions of the hydrothermal method. LiNbO$_{3}$ and PIC 181 were proven as feasible materials for high temperature resistant transducers ($\geq 200^\circ C$). Resistance of the transducers horn against the corrosive mineralizer was achieved by using Hastelloy C-22. The efficiency of the ultrasound assisted hydrothermal method depends on the generated sound field. Impedance and sound field measurements have shown that the sound field depends on the filling level and the position and design of the transducer.}},
  author       = {{Bornmann, Peter and Hemsel, Tobias and Littmann, Walter and Ageba, Ryo and Kadota, Yoishi and Morita, Takeshi}},
  issn         = {{1948-5719}},
  journal      = {{Journal of Korean Physical Society}},
  keywords     = {{High-temperature transducer, Hydrothermal method, Lithium-niobate transducer}},
  number       = {{4}},
  pages        = {{1122}},
  title        = {{{Ultrasonic Transducer for the Hydrothermal Method}}},
  doi          = {{10.3938/jkps.57.1122}},
  volume       = {{57}},
  year         = {{2010}},
}

@article{9745,
  abstract     = {{In the modeling of piezoelectric Langevin transducers using usual transfer matrix methods, some simplifications have been adopted. This leads to reduction of the model quality. A mixed transfer matrix method is employed in the modeling of Langevin transducers, where the pre-stressed bolt is modeled as a separate four-pole element, which is connected to other elements in parallel. Based on the mixed transfer matrix method, the four (six)-pole element description of the piezoelectric Langevin transducer is built up and the total transfer matrix relation is derived. The resonance frequencies of the transducer are calculated and then measured using the impedance analyzer (HP4192). Experimental result shows that the mixed transfer matrix method has better modeling quality than the usual transfer matrix method for the vibration analysis of piezoelectric Langevin transducers.}},
  author       = {{Fu, Bo and Li, Chao and Zhang, Jianming and Huang, Zhenwei and Hemsel, Tobias}},
  issn         = {{1948-5719}},
  journal      = {{Journal of Korean Physical Society}},
  keywords     = {{Piezoelectric langevin transducer, Transfer matrix method, Four (six)-pole element description, Pre-stressed bolt}},
  number       = {{4}},
  pages        = {{929}},
  title        = {{{Modeling of Piezoelectric Langevin Transducers by Using Mixed Transfer Matrix Methods}}},
  doi          = {{10.3938/jkps.57.929}},
  volume       = {{57}},
  year         = {{2010}},
}

@article{9747,
  abstract     = {{Bei der Konstruktion von Maschinen ist es oftmals erforderlich, Schwingungen minimal zu halten. Um z.B. die Lebensdauer zu erhöhen, Material einzusparen oder den Geräuschpegel gering zu halten muss oft ein großer Aufwand zur Dämpfung von auftretenden Schwingungen betrieben werden. In vielen technischen Anwendungen werden Einzelteile miteinander verschraubt. Diese Fügestellen können gezielt und mit wenig Aufwand zur Schwingungsdämpfung herangezogen werden. Die Berechnung des dynamischen Verhaltens verschraubter Strukturen stellt immer noch eine Herausforderung dar. Es wurde eine Methode entwickelt, um den eingeschwungenen Zustand elastischer, miteinander verschraubter Körper mit rauen Fügestellen bei periodischer Anregung zu berechnen. Als Basis dienen Finite Elemente Modelle der einzelnen Teile, deren Freiheitsgrade durch modale Kondensation reduziert werden. Unter Anwendung des Verfahrens von Ritz und Galerkin wird eine Näherungslösung für den eingeschwungenen Zustand des nichtlinearen, gekoppelten Systems ermittelt. Abhängig von den Schraubenvorspannkräften sowie den bestimmenden Parametern der Kontaktflächen, Rautiefe und Reibungskoeffizient, kann die Systemantwort berechnet und optimiert werden. Um die Berechnungsmethode zu verifizieren wurden Experimente durchgeführt. Der Vergleich zwischen Messung und Rechnung zeigt eine gute Übereinstimmung. ({\copyright} 2010 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)}},
  author       = {{Hölzl, Johannes Sebastian and Sextro, Walter}},
  issn         = {{1617-7061}},
  journal      = {{PAMM}},
  number       = {{1}},
  pages        = {{247--248}},
  publisher    = {{WILEY-VCH Verlag}},
  title        = {{{Reibungsdämpfung in ausgedehnten, verschraubten Fügestellen}}},
  doi          = {{10.1002/pamm.201010116}},
  volume       = {{10}},
  year         = {{2010}},
}

@article{9748,
  abstract     = {{For many technical applications it is necessary to avoid or to reduce vibrations. Factors benefiting from vibration reduction are for example the durability of the application, which is increased, as well as cost expenses and the level of noise, which are both decreased. Rough, bolted interfaces are common in most machines and can be used as damping devices with some effort. Perhaps in future such contact surfaces could be used as damping devices at the interfaces of an automotive engine or exhaust system. Nevertheless it is difficult to predict the effect of a change in contact interface parameters on the dynamic behavior of the entire mechanical system. Therefore a method for calculating the steady state behavior of elastic multi-body systems was developed. The basis of this method is a finite element model of each contacting unit. On each model a modal reduction is applied in order to reduce the degrees of freedom. The method of Ritz and Galerkin is used to calculate the frequency response functions of the reduced system including contact. This method allows the calculation of the steady-state behavior of elastic multi-body systems with rough, bolted contact interfaces, by taking the pre-stress of the bolts, the roughness and the friction coefficient of the contacting surfaces as parameters. In order to verify calculated results, a test stand was built. The comparison of calculated and experimental results showed a satisfying correlation.}},
  author       = {{ Hölzl, Johannes Sebastian and Sextro, Walter}},
  journal      = {{SAE International Journal of Passenger Cars- Mechanical Systems}},
  keywords     = {{Automotive}},
  pages        = {{929--935}},
  title        = {{{Simulation of the Dynamical Behavior of Elastic Multi-Body Systems with Bolted, Rough Contact Interfaces}}},
  doi          = {{10.4271/2010-01-1422}},
  year         = {{2010}},
}

@article{9749,
  abstract     = {{Piezoelectric materials find wide application in technical systems. Most often, a combination of piezoelectric and other materials is advantageous. The position and the amount of the piezoelectric material within the overall system depends on various aspects like maximum mechanical output to the load, maximum electromechanical efficiency of the system, maximum utilization of the piezoelectric material, minimum self-heating of the piezoelectric material, and controllability of the system, which might be key aspects for the optimisation of the system design. For a composite longitudinal vibrator (bolted Langevin transducer), which is a base for many technical applications, this contribution shows in detail, how above mentioned aspects depend on the position and volume of the piezoelectric material related to the mode shape.}},
  author       = {{Hemsel, Tobias and Lierk, Ernst Günther and Littmann, Walter and Morita, Takeshi}},
  issn         = {{1948-5719}},
  journal      = {{Journal of Korean Physical Society}},
  keywords     = {{Bolted Langevin transducer, Optimum placement of piezoelectric ceramics}},
  number       = {{4}},
  pages        = {{933--937}},
  title        = {{{Various Aspects of the Placement of a Piezoelectric Material in Composite Actuators, Motors, and Transducers}}},
  doi          = {{10.3938/jkps.57.933}},
  volume       = {{57}},
  year         = {{2010}},
}

@article{9750,
  author       = {{Hess, D. and Hüfner, Thorsten and Hesse, Tobias and Sondermann-Wölke, Christoph and Sattel, Thomas}},
  journal      = {{Internationales Mechatronik-Kolloquium "Mechatronik 2010"}},
  title        = {{{Intelligente mechatronische Systeme zur automatisierten Fahrzeugführung in Fahrerassistenzsystemen}}},
  year         = {{2010}},
}

@article{9751,
  abstract     = {{Piezoelectric inertia motors have a simple construction and are controlled by a single driving signal. This allows for miniaturization and low cost production. One of the main questions to be answered during the design process of a piezoelectric inertia motor is which electrical excitation signal yields optimum motor characteristics. Three signals and their variants are widely used in literature: sawtooth, parabolic and cycloidic signals. It can be shown that neither of these can drive the motor at its maximum possible velocity in non-resonant operation. Within this paper we propose to use a rigid body model of a simple inertia motor to predict the motor characteristics depending on the movement pattern of the driving element. Advantages and disadvantages of three different drive signals that maximize the motor velocity are discussed.}},
  author       = {{Hunstig, Matthias and Hemsel, Tobias}},
  issn         = {{1948-5719}},
  journal      = {{Journal of Korean Physical Society}},
  number       = {{4}},
  pages        = {{938--941}},
  title        = {{{Drive Signals for Maximizing the Velocity of Piezoelectric Inertia Motors}}},
  doi          = {{10.3938/jkps.57.938}},
  volume       = {{57}},
  year         = {{2010}},
}

@article{9752,
  abstract     = {{Piezoelectric inertia motors make use of the inertia of a slider to drive the slider by friction contact in a series of small steps which are generally composed of a stick phase and a slip phase. If the best electrical drive signal for the piezoelectric actuator in an inertia motor is to be determined, its dynamical behaviour must be known. A classic dynamic lumped parameter model for piezoelectric actuators is valid only in resonance and, therefore, is not suitable for modelling the actuator in an inertia motor. A reduced dynamic model is used instead. Its parameters are identified using a step response measurement. This model is used to predict the movement of the actuator in response to a velocity-optimized signal introduced in a separate contribution. Results show that the model cannot represent the dynamical characteristics of the actuator completely. For determining voltage signals that let piezoelectric actuators follow a calculated movement pattern exactly, the model can, therefore, only be used with limitations.}},
  author       = {{Hunstig, Matthias and Hemsel, Tobias}},
  issn         = {{1948-5719}},
  journal      = {{Journal of Korean Physical Society}},
  number       = {{4}},
  pages        = {{952--954}},
  title        = {{{Parameter Identification and Model Validation for the Piezoelectric Actuator in an Inertia Motor}}},
  doi          = {{10.3938/jkps.57.952}},
  volume       = {{57}},
  year         = {{2010}},
}

@inproceedings{9753,
  abstract     = {{Piezoelektrische Trägheitsmotoren nutzen die Trägheit einer bewegten Masse, um diese in kleinen Schritten durch abwechselnde Haft- und Gleitphasen voranzutreiben. Eine Kernfrage bei der Entwicklung eines piezoelektrischen Trägheitsmotors ist, welches elektrische Ansteuersignal für das gewünschte Motorverhalten optimal ist. Das elektrische Signal führt zu einer Bewegung des piezoelektrischen Aktors und damit der Antriebsstange, die den reibschlüssigen Vortrieb bewirkt. Entsprechend wird diese Fragestellung in zwei Teilen untersucht: Anhand eines Starrkörpermodells werden zunächst Bewegungsverläufe für die Antriebsstange ermittelt, mit denen die maximale Geschwindigkeit erreicht wird. Dabei werden drei Antriebsmodi identifiziert. Mit allen kann eine höhere Geschwindigkeit als mit der heute häufig verwendeten Sägezahnanregung erreicht werden. Anschließend wird ein einfaches dynamisches Modell eines piezoelektrischen Aktors genutzt, um die notwendigen elektrischen Ansteuersignale für die verschiedenen Antriebsmodi zu bestimmen. Es zeigt sich, dass das gewählte einfache Modell hierzu nur bedingt geeignet ist.}},
  author       = {{Hunstig, Matthias and Hemsel, Tobias and Sextro, Walter}},
  booktitle    = {{7. Paderborner Workshop Entwurf mechatronischer Systeme}},
  editor       = {{Gausemeier, Jürgen and Rammig, Franz and Schäfer, Wilhelm and Trächtler, Ansgar}},
  issn         = {{0924-4247}},
  keywords     = {{Piezoelektrischer Trägheitsmotoren}},
  pages        = {{129--141}},
  publisher    = {{Heinz Nixdorf Institut, Universität Paderborn}},
  title        = {{{Anregungskonzepte und Modellierung piezoelektrischer Trägheitsmotoren}}},
  volume       = {{272}},
  year         = {{2010}},
}

@inproceedings{9754,
  abstract     = {{A model based design approach for improved piezoelectric inertia motors is presented. Three velocityoptimized movement patterns for the driving body have been derived. The influence of the motor parameters and the process of designing an application specific motor with maximum velocity are shown. A simple dynamic model of the piezoelectric actuator is used to calculate the voltage signal for achieving the desired movement pattern. Observed distortions of the optimum pattern, their influence on the motion of the driven body and different methods to reduce them are discussed.}},
  author       = {{Hunstig, Matthias and Hemsel, Tobias and Sextro, Walter}},
  booktitle    = {{ACTUATOR 2010 Conference Proceedings}},
  issn         = {{0924-4247}},
  pages        = {{657--661}},
  title        = {{{Improving the Performance of Piezoelectric Inertia Motors}}},
  year         = {{2010}},
}

