Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Bücher
Zeitschriften
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
SLX-Digitalkonferenz: Zukunftswerkstatt 2024

Mehr Umsatz mit Top-Kontakten

Am 7. Mai erfahren Sie, wie Vertriebsteams Leadgenerierung, Leadnurturing und Leadstrategien effizient steuern können.
Erweiterte Suche
Anmelden
nach oben
Structural and Multidisciplinary Optimization
Erschienen in: Structural and Multidisciplinary Optimization 3/2011

01.03.2011 | Research Paper

On the effect of self-penalization of piezoelectric composites in topology optimization

verfasst von: Fabian Wein, Manfred Kaltenbacher, Barbara Kaltenbacher, Günter Leugering, Eberhard Bänsch, Fabian Schury

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 3/2011

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

We investigate the occurrence of self-penalization in topology optimization problems for piezoceramic-mechanical composites. Our main goal is to give physical interpretations for this phenomenon, i.e., to study the question why for various problems intermediate material values are not optimal in the absence of explicit penalization of the pseudo densities. In order to investigate this effect numerical experiments for several static and/or dynamic actuator and sensor objective functions are performed and their respective results are compared. The objective functions are mean transduction, displacement, sound power, electric potential, electric energy, energy conversion and electric power.
Vorheriger Artikel A two phase approach based on skeleton convergence and geometric variables for topology optimization using genetic algorithm
Nächster Artikel Adaptive-sparse polynomial chaos expansion for reliability analysis and design of complex engineering systems

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Jetzt informieren
Anhänge
Nur mit Berechtigung zugänglich
Fußnoten
1
Solid Isotropic Material with Penalization
 
2
With imaginary unit j and ω = 2 πf.
 
Literatur
Bendsøe MP (1989) Optimal shape design as a material distribution problem. Struct Multidisc Optim 1:193−202
Bendsøe MP, Sigmund O (2003) Topology optimization: theory, method and applications, 2nd edn. Springer
Diaz AR, Sigmund O (1995) Checkerboard patterns in layout optimization. Struct Multidisc Optim 10:40−45
Donoso A, Bellido J (2009) Systematic design of distributed piezoelectric modal sensors/actuators for rectangular plates by optimizing the polarization profile. Struct Multidisc Optim 38(4):347−356MathSciNetCrossRef
Dühring MB (2009) Design of acousto-optical devices by topology optimization. In: Proceedings WCSMO-08, 1−5 June 2009. Lisbon, Portugal
Erturk A, Tarazaga P, Farmer J, Inman D (2009) Effect of strain nodes and electrode configuration on piezoelectric energy harvesting from cantilevered beams. Vibr Acoust 131(1):011010 (11 pages). doi:10.​1115/​1.​2981094 CrossRef
Jensen JS (2007a) A note on sensitivity analysis of linear dynamic systems with harmonic excitation. Handout at DCAMM Advanced School, 20−26 June 2007 at DTU in Lyngby, Denmark
Jensen JS (2007b) Topology optimization of dynamics problems with Padé approximants. Int J Numer Methods Eng 72:1605−1630MATHCrossRef
Kaltenbacher M (2007) Numerical simulation of mechatronic sensors and actuators, 2nd edn. Springer, Berlin
Kaltenbacher B, Lahmer T, Mohr M, Kaltenbacher M (2006) PDE based determination of piezoelectric material tensors. Eur J Appl Math 17:383−416MathSciNetMATHCrossRef
Kögl M, Silva ECN (2005) Topology optimization of smart structures: design of piezoelectric plate and shell actuators. Smart Mater Struct 14(2):387−399CrossRef
Rupitsch SJ, Lerch R (2009) Inverse method to estimate material parameters for piezoceramic disc actuators. Appl Phys A, Mater Sci Process 97(4):735−740CrossRef
Rupp CJ, Evgrafov A, Dunn ML, Maute K (2009a) Topology optimization of piezoelectric energy harvesting structures and circuits. In: Proceedings WCSMO-08, 1−5 June 2009. Lisbon, Portugal
Rupp CJ, Evgrafov A, Maute K, Dunn ML (2009b) Design of piezoelectric energy harvesting systems: a topology optimization approach based on multilayer plates and shells. J Intell Mat Syst Str 20(16):1923−1939CrossRef
Sigmund O (1994) Design of material structures using topology optimization. PhD thesis, Department of Solid Mechanics, Technical University of Denmark
Sigmund O (1997) On the design of compliant mechanisms using topology optimization. Mech Struct Mach 25(4):493−524CrossRef
Sigmund O (2007) Morphology-based black and white filters for topology optimization. Struct Multidisc Optim 33(4):401−424CrossRef
Sigmund O, Jensen JS (2003) Systematic design of phononic band-gap materials and structures by topology optimization. Philos Trans—Royal Soc, Math Phys Eng Sci 361(1806):1001−1019MathSciNetMATHCrossRef
Sigmund O, Petersson J (1998) Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, mesh-dependencies and local minima. Struct Multidisc Optim 16:68−75
Silva ECN, Kikuchi N (1999) Design of piezoelectric transducers using topology optimization. Smart Mater Struct 8(3):350−364MathSciNetCrossRef
Stainko R (2006) An adaptive multilevel approach to the minimal compliance problem in topology optimization. Commun Numer Methods Eng 22(2):109−118MathSciNetMATHCrossRef
Wang J, Ostergaard D, Inc A, Canonsburg P (1999) A finite element-electric circuit coupled simulation method forpiezoelectric transducer. In: Proceedings IEEE ultrasonics symposium, vol 2
Wein F, Kaltenbacher M, Schury F, Leugering G, Bänsch E (2008) Topology optimization of piezoelectric actuators using the SIMP method. In: Proceedings OIPE, 14−16 September 2009. TU Ilmenau, Germany, pp 46−47
Wein F, Kaltenbacher M, Leugering G, Bänsch E, Schury F (2009a) Topology optimization of a piezoelectric-mechanical actuator with single- and multiple-frequency excitation. Int J Appl Electromagn Mech 30(3−4):201−221
Wein F, Kaltenbacher M, Schury F, Bänsch E, Leugering G (2009b) Topology optimization of a piezoelectric loudspeaker coupled with the acoustic domain. In: Proceedings WCSMO-08, 1−5 June 2009. Lisbon, Portugal
Wein F, Weller E, Albach T, Sutor A, Lerch R (2009c) Topology optimization of a piezoelectric energy harvester. In: Proceedings sensor 2009, vol II
Weller E (2009) Topology optimization of a piezoelectric energy harvester. Master’s thesis, University of Erlangen-Nuremberg, Germany. In German
Zheng B, Chang CJ, Gea HC (2008) Topology optimization of energy harvesting devices using piezoelectric materials. Struct Multidisc Optim 38(1):17−23CrossRef
Metadaten
Titel
On the effect of self-penalization of piezoelectric composites in topology optimization
verfasst von
Fabian Wein
Manfred Kaltenbacher
Barbara Kaltenbacher
Günter Leugering
Eberhard Bänsch
Fabian Schury
Publikationsdatum
01.03.2011
Verlag
Springer-Verlag
Erschienen in
Structural and Multidisciplinary Optimization / Ausgabe 3/2011
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-010-0570-2

Weitere Artikel der Ausgabe 3/2011

Structural and Multidisciplinary Optimization 3/2011 Zur Ausgabe

Review Article

On symmetry and non-uniqueness in exact topology optimization

Review Article

Technical overview of the equivalent static loads method for non-linear static response structural optimization

Research Paper

Adaptive-sparse polynomial chaos expansion for reliability analysis and design of complex engineering systems

Research Paper

Topology optimization of continuum structures with different tensile and compressive properties in bridge layout design

Research Paper

An enhanced charged system search for configuration optimization using the concept of fields of forces

Research Paper

A two phase approach based on skeleton convergence and geometric variables for topology optimization using genetic algorithm

Premium Partner

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen. 

    Zur Marktübersicht
    Bildnachweise