microtechnology and mems microtechnology and mems SeriesEditor:H.Fujita D.Liepmann TheseriesMicrotechnologyandMEMScomprisestextbooks,monographs,and state-of-the-art reports in the very active field of microsystems and microtech- nology.Writtenbyleadingphysicistsandengineers,thebooksdescribethebasic science, device design, and applications. They will appeal to researchers, engi- neers,andadvancedstudents. PleaseviewavailabletitlesinMicrotechnologyandMems onserieshomepagehttp://www.springer.com/series/4526 Arno Lenk Rüdiger G. Ballas Roland Werthschützky Günther Pfeifer Electromechanical Systems in Microtechnology and Mechatronics Electrical, Mechanical and Acoustic Networks, their Interactions and Applications With313Figures 123 ProfessorDr.-InghabilArnoLenk Dr.-IngRüdigerG.Ballas DresdenUniversityofTechnology KarlMayer FacultyofElectricalandComputerEngineering TextileMachinery Helmholtzstraße10 Bruehlstr.25 01069Dresden 63179Obertshausen Germany Germany [email protected] ProfessorDr.-InghabilRolandWerthschützky ProfessorDr.-InghabilGüntherPfeifer DarmstadtUniversityofTechnology DresdenUniversityofTechnology InstituteforElectromechanicalDesign FacultyofElectricaland Merckstr.25 ComputerEngineering 64283Darmstadt Helmholtzstraße10 Germany 01069Dresden [email protected] Germany ISSN1615-8326 ISBN978-3-642-10805-1 e-ISBN978-3-642-10806-8 DOI10.1007/978-3-642-10806-8 SpringerHeidelbergDordrechtLondonNewYork LibraryofCongressControlNumber:2010936071 (cid:2)c Springer-VerlagBerlinHeidelberg2011 Thisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerial isconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broad- casting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.Duplicationof thispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLaw ofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfrom Springer.ViolationsareliabletoprosecutionundertheGermanCopyrightLaw. Theuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnot imply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantpro- tectivelawsandregulationsandthereforefreeforgeneraluse. Coverdesign:WMXDesignGmbH,Heidelberg Printedonacid-freepaper SpringerispartofSpringerScience+BusinessMedia(www.springer.com) Preface Within the wide field of technical information processing, electromechanical systems consisting of coupled electrical and mechanical functional elements have a significant importance. Both the design of interfaces between human and information processing mechanisms and the design of interfaces with the materialprocessduringmetrologicaldataacquisitionandactuatoryinfluence of process variables is made possible by these electromechanical systems. Ex- amples for realization of electromechanical systems in the form of devices, assemblies or components are: peripheral devices of data processing systems like printers, scanners, disk • drives and data memories, electroacousticdeviceslikeloudspeakers,microphonesandultrasonictrans- • ducers, sensors for medicine, automotive and process measurement engineering, • actuators in the form of small drives and precision positioning systems. • The list mentioned above is increasingly extended by direct coupled sensor- actuator-systemswithintegrateddataprocessing.Thus,theresultisasmooth transition to more complex electromechanical systems of mechatronics. The production of electromechanical systems results from enhanced preci- sion engineering methods and modern technologies of microtechnology and microsystems technology. In addition, used materials like high-grade steels, ceramics, glasses, silicon and quartz, are subjected to continuous further de- velopment. In the phase of industrial development of electromechanical systems, the de- sign process based on a solution concept provides a fundamental stage. Here, geometrical, electrical and technological system parameters are defined being vi Preface based on a physical model considering special design criteria and technologi- callimitations.Thecloseddynamicdesignoftheoverallsystemismademore difficult by different subsystems consisting of electronic, mechanical, acoustic and fluid elements. The main objective of this book is the obtaining of a physically clear design method for complex electromechanical systems. This design method is based on the network theory, electrical engineers and engineers of information tech- nology are familiar with. The total electromechanical system is described in theformof a common technical circuit representation ofdifferent subsystems including their interactions by means of network theory. Clear physical func- tions are assigned to either lumped or distributed elements of the network. The advantages of this design method are the application of clear analytical methodsofelectricalnetworks,thepossibilityofthecloseddesignofphysically different subsystems and the use of existing circuit simulation software. The structuring of electromechanical systems according to electrical, mechanical andacousticelementarynetworksandtheintroductionofpassivetransducers as two-port networks which describe the loss-free linear interactions between thesubsystems,arethefundamentalconditionsfortheapplicationofnetwork theory. The main features of this book are based on the structure-oriented theory of electromechanical systems developed by Arno Lenk in the 60s to 90s. The resultsweresummarizedinthebooks ElektromechanischeSysteme—Systeme ” mit konzentrierten Parametern” [1], Elektromechanische Systeme — Systeme ” mit verteilten Parametern” [2] and Elektromechanische Systeme — Systeme ” mit Hilfsenergie” [3] which were published in the 70s in the Verlag Technik. Thebookissuitableforstudentsofinformationtechnology,measurementand automationengineering,mechatronics,technicalacousticsaswellasmicrosys- tems technology and precision engineering. The book enables the electrical engineer being familiar with network theory to get started quickly with the solution of many dynamic problems concerning the design of coupled elec- trical, mechanical, acoustic and fluid systems. In addition, this book is also suitableformechanicalengineersinordertogetstartedwiththeefficientand practice-orienteddesignmethodformechatronicsystems.Thenecessarybasic knowledge of network theory is summarized in an extra chapter. We gratefully acknowledge Stephan Sindlinger, Stefan Leschka, Eric Starke and Uwe Marschner, whose current research results are presented in the sec- tions concerning the finite network elements (Leschka, Sect. 6.3.1 and Sin- dlinger, Sect. 6.3.2), the combination of FEA and network theory (Starke, Sect. 6.4)and theapplication ofelectrodynamicandpiezomagneticactuators (Marschner, Sect. 8.1.2, Sect. 8.3.3 and Sect. 8.3.4). Preface vii Finally, our thanks go to Eva Hestermann-Beyerle and Birgit Kollmar-Thoni of Springer-Verlag, who offered an excellent cooperation and continuous sup- port while we were writing this book. Dresden and Darmstadt, July 2010 Arno Lenk, Ru¨diger G. Ballas, Roland Werthschu¨tzky, Gu¨nther Pfeifer Contents List of Symbols ................................................ xv Part I Focus of the Book 1 Introduction .............................................. 3 1.1 Focus of the Book ...................................... 4 1.2 Fields of Application and Examples for Electromechanical Systems ............................................... 6 1.3 Design of Electromechanical Systems ...................... 9 1.4 Simulation Methods for Electromechanical Systems ......... 10 1.4.1 Historical Overview................................ 10 1.4.2 Design Methods................................... 13 2 Electromechanical Networks and Interactions ............. 15 2.1 Signal Description and Signal Transmission in Linear Networks .............................................. 16 2.1.1 The Circular Function as Basic Module for Time Functions of Linear Networks ...................... 16 2.1.2 Fourier Expansion of Time Functions ................ 20 2.1.3 The Fourier Transform ............................ 25 2.1.4 The Laplace Transform ............................ 33 2.2 Electrical Networks ..................................... 36 2.3 Mechanical Networks .................................... 40 2.4 Interactions ............................................ 44 2.4.1 Mechanical Interactions ........................... 44 2.4.2 Electromechanical Interactions ..................... 46 2.5 Structured Network Representation of Linear Dynamic Systems ............................................... 56 2.6 Basic Equations of Linear Networks ....................... 58
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