{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,30]],"date-time":"2025-09-30T00:23:30Z","timestamp":1759191810693,"version":"3.40.3"},"publisher-location":"Basel","reference-count":44,"publisher":"Springer Basel","isbn-type":[{"type":"print","value":"9783034801324"},{"type":"electronic","value":"9783034801331"}],"license":[{"start":{"date-parts":[[2011,10,28]],"date-time":"2011-10-28T00:00:00Z","timestamp":1319760000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2011,10,28]],"date-time":"2011-10-28T00:00:00Z","timestamp":1319760000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2012]]},"DOI":"10.1007\/978-3-0348-0133-1_26","type":"book-chapter","created":{"date-parts":[[2012,1,2]],"date-time":"2012-01-02T10:34:06Z","timestamp":1325500446000},"page":"501-519","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Optimization of Electro-mechanical Smart Structures"],"prefix":"10.1007","author":[{"given":"Eberhard","family":"B\u00e4nsch","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Manfred","family":"Kaltenbacher","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"G\u00fcnter","family":"Leugering","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fabian","family":"Schury","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fabian","family":"Wein","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2011,10,28]]},"reference":[{"key":"26_CR1","doi-asserted-by":"publisher","first-page":"363","DOI":"10.1016\/j.jcp.2003.09.032","volume":"194","author":"G Allaire","year":"2004","unstructured":"G. Allaire, F. Jouve, and A.-M. Toader. Structural optimization using sensitivity analysis and a level-set method. J. Comp. Physics, 194:363\u2013393, 2004.","journal-title":"J. Comp. Physics"},{"key":"26_CR2","doi-asserted-by":"publisher","first-page":"197","DOI":"10.1016\/0045-7825(88)90086-2","volume":"71","author":"Martin P Bends\u00f8e","year":"1988","unstructured":"Martin P. Bends\u00f8e and N. Kikuchi. Generating optimal topologies in optimal design using a homogenization method. Comp. Meth. Appl. Mech. Engn., 71:197\u2013224, 1988.","journal-title":"Comp. Meth. Appl. Mech. Engn."},{"key":"26_CR3","unstructured":"Martin P. Bends\u00f8e and Ole Sigmund. Topology Optimization: Theory, Methods and Applications. Springer-Verlag, 2002."},{"key":"26_CR4","doi-asserted-by":"crossref","unstructured":"J.P. Berenger. A Perfectly Matched Layer for the Absorption of Electromagnetic Waves. Journal of Computational Physics, 1994.","DOI":"10.1006\/jcph.1994.1159"},{"issue":"5","key":"26_CR5","doi-asserted-by":"publisher","first-page":"1627","DOI":"10.1137\/040608374","volume":"27","author":"Matthias Bollh\u00f6fer","year":"2006","unstructured":"Matthias Bollh\u00f6fer and Yousef Saad. Multilevel preconditioners constructed from inverse-based ilus. SIAM Journal on Scientific Computing, 27(5):1627\u20131650, 2006.","journal-title":"SIAM Journal on Scientific Computing"},{"key":"26_CR6","doi-asserted-by":"publisher","first-page":"147","DOI":"10.1002\/nme.2060","volume":"73","author":"D Braess","year":"2008","unstructured":"D. Braess and Manfred Kaltenbacher. Efficient 3D-Finite-Element-Formulation for Thin Mechanical and Piezoelectric Structures. Int. J. Numer. Meth. Engng., 73:147\u2013161, 2008.","journal-title":"Int. J. Numer. Meth. Engng."},{"issue":"6","key":"26_CR7","doi-asserted-by":"publisher","first-page":"1431","DOI":"10.1088\/0964-1726\/14\/6\/036","volume":"14","author":"RC Carbonari","year":"2005","unstructured":"R.C. Carbonari, E.C.N. Silva, and S. Nishiwaki. Design of piezoelectric multiactuated microtools using topology optimization. Smart Materials and Structures, 14(6):1431, 2005.","journal-title":"Smart Materials and Structures"},{"issue":"6","key":"26_CR8","doi-asserted-by":"publisher","first-page":"2605","DOI":"10.1088\/0964-1726\/16\/6\/065","volume":"16","author":"RC Carbonari","year":"2007","unstructured":"R.C. Carbonari, E.C.N. Silva, and G.H. Paulino. Topology optimization design of functionally graded bimorph-type piezoelectric actuators. Smart Materials and Structures, 16(6):2605, 2007.","journal-title":"Smart Materials and Structures"},{"key":"26_CR9","unstructured":"G. Cardone, S.A. Nazarov, and Jan Soko\u0142owski. Topological derivatives in piezoelectricity. Preprint, 2008."},{"issue":"4","key":"26_CR10","doi-asserted-by":"publisher","first-page":"713","DOI":"10.1016\/S0045-7825(99)00357-6","volume":"188","author":"Jean C\u00e9a","year":"2000","unstructured":"Jean C\u00e9a, St\u00e9phane Garreau, Philippe Guillaume, and Mohamed Masmoudi. The shape and topological optimizations\u2019 connection. Comput. Methods Appl. Mech. Eng., 188(4):713\u2013726, 2000.","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"26_CR11","unstructured":"P.W. Christensen and A. Klarbring. An Introduction to Structural Optimization. Springer Verlag, 2008."},{"key":"26_CR12","unstructured":"J. Diaz and J. Joly. A time domain analysis of pml models in acoustics. Comput. Meth. Appl. Mech. Engrg., 2005."},{"key":"26_CR13","unstructured":"Maria B. D\u00f6hring, Jakob S. Jensen, and Ole Sigmund. Acoustic design by topology optimization. submitted, 2008."},{"key":"26_CR14","unstructured":"A. Donoso and J.C. Bellido. Distributed piezoelectric modal sensors for circular plates. Journal of Sound and Vibration, 2008."},{"key":"26_CR15","doi-asserted-by":"crossref","unstructured":"A. Donoso and J.C. Bellido. Systematic design of distributed piezoelectric modal sensors\/actuators for rectangular plates by optimizing the polarization profile. Structural and Multidisciplinary Optimization, 2008.","DOI":"10.1007\/s00158-008-0279-7"},{"key":"26_CR16","doi-asserted-by":"crossref","unstructured":"A. Donoso and Ole Sigmund. Optimization of piezoelectric bimorph actuators with active damping for static and dynamic loads. Structural and Multidisciplinary Optimization, 2008.","DOI":"10.1007\/s00158-008-0273-0"},{"issue":"6","key":"26_CR17","doi-asserted-by":"publisher","first-page":"788","DOI":"10.1088\/0964-1726\/9\/6\/308","volume":"9","author":"H Du","year":"2000","unstructured":"H. Du, G.K. Lau, M.K. Lim, and J. Qiu. Topological optimization of mechanical amplifiers for piezoelectric actuators under dynamic motion. Smart Materials and Structures, 9(6):788\u2013800, 2000.","journal-title":"Smart Materials and Structures"},{"issue":"4","key":"26_CR18","doi-asserted-by":"publisher","first-page":"305","DOI":"10.1007\/s00158-006-0088-9","volume":"33","author":"J Du","year":"2007","unstructured":"J. Du and N. Olhoff. Minimization of sound radiation from vibrating bi-material structures using topology optimization. Structural and Multidisciplinary Optimization, 33(4):305\u2013321, 2007.","journal-title":"Structural and Multidisciplinary Optimization"},{"issue":"13","key":"26_CR19","doi-asserted-by":"publisher","first-page":"1791","DOI":"10.1002\/nme.1669","volume":"67","author":"B Flemisch","year":"2006","unstructured":"B. Flemisch, M. Kaltenbacher, and B.I. Wohlmuth. Elasto-Acoustic and Acoustic-Acoustic Coupling on Nonmatching Grids. Int. J. Numer. Meth. Engng., 67(13): 1791\u20131810, 2006.","journal-title":"Int. J. Numer. Meth. Engng."},{"issue":"3","key":"26_CR20","doi-asserted-by":"publisher","first-page":"413","DOI":"10.2478\/v10006-007-0034-z","volume":"17","author":"Piotr Fulmanski","year":"2007","unstructured":"Piotr Fulmanski, Antoine Laurain, Jean-Fran\u00e7ois Scheid, and Jan Soko\u0142owski. A level set method in shape and topology optimization for variational inequalities. Int. J. Appl. Math. Comput. Sci., 17(3):413\u2013430, 2007.","journal-title":"Int. J. Appl. Math. Comput. Sci."},{"key":"26_CR21","unstructured":"M. Hinterm\u00fcller. A combined shape-Newton topology optimization technique in realtime image segmentation. Technical report, University of Graz, 2004. Preprint."},{"key":"26_CR22","unstructured":"Jakob S. Jensen. A note on sensitivity analysis of linear dynamic systems with harmonic excitation. Handout at DCAMM advanced school June 20\u201326, 2007 at DTU in Lyngby, Denmark, June 2007."},{"key":"26_CR23","doi-asserted-by":"publisher","first-page":"1605","DOI":"10.1002\/nme.2065","volume":"72","author":"Jakob S Jensen","year":"2007","unstructured":"Jakob S. Jensen. Topology optimization of dynamics problems with pade approximants. Int. J. Numer. Meth. Engng., 72:1605\u20131630, 2007.","journal-title":"Int. J. Numer. Meth. Engng."},{"key":"26_CR24","unstructured":"M. Kaltenbacher. Numerical Simulation of Mechatronic Sensors and Actuators. Springer Berlin-Heidelberg-New York, 2nd edition, 2007. ISBN: 978-3-540-71359-3."},{"key":"26_CR25","doi-asserted-by":"crossref","unstructured":"Manfred Kaltenbacher. Advanced Simulation Tool for the Design of Sensors and Actuators. In Proc. Eurosensors XXIV, Linz, Austria, September 2010.","DOI":"10.1016\/j.proeng.2010.09.180"},{"issue":"3","key":"26_CR26","doi-asserted-by":"publisher","first-page":"1080","DOI":"10.1137\/050629884","volume":"46","author":"B Kapitonov","year":"2007","unstructured":"B. Kapitonov, B. Miara, and G. Perla-Menzala. Boundary observation and exact control of a quasi-electrostatic piezoelectric system in multilayered media. SIAM J. CONTROL OPTIM., 46(3):1080\u20131097, 2007.","journal-title":"SIAM J. CONTROL OPTIM."},{"key":"26_CR27","doi-asserted-by":"publisher","first-page":"387","DOI":"10.1088\/0964-1726\/14\/2\/013","volume":"14","author":"M K\u00f6gl","year":"2005","unstructured":"M. K\u00f6gl and E.C.N. Silva. Toplogy optimization of smart structures: design of piezoelectric plate and shell actuators. Smart Mater. Struct., 14:387\u2013399, 2005.","journal-title":"Smart Mater. Struct."},{"key":"26_CR28","unstructured":"G\u00fcnter Leugering and Jan Soko\u0142owski. Topological derivatives for elliptic problems on graphs. Variational Formulations in Mechanics: Theory and Application, 2006."},{"key":"26_CR29","first-page":"2006","volume":"2007","author":"J Lieneman","year":"2008","unstructured":"J. Lieneman, A. Greiner, J.G. Korvink, and Ole Sigmund. Optimization of integrated magnetic field sensors. ORBIT, 2007:2006, 2008.","journal-title":"ORBIT"},{"key":"26_CR30","unstructured":"P.H. Nakasone and C.N.S. Silva. Design of dynamic laminate piezoelectric sensors and actuators using topology optimization. In Proceedings of the 6th International Conference on Computation of Shell and Spatial Structures. IASS-IACM 2008, May 2008."},{"key":"26_CR31","doi-asserted-by":"crossref","unstructured":"P.H. Nakasone, C.Y. Kiyono, and E.C.N. Silva. Design of piezoelectric sensors, actuators, and energy harvesting devices using topology optimization. In Proceedings of SPIE, volume 6932, page 69322W. SPIE, 2008.","DOI":"10.1117\/12.776357"},{"key":"26_CR32","doi-asserted-by":"publisher","first-page":"375","DOI":"10.1007\/s00158-007-0094-6","volume":"33","author":"Julian A Norato","year":"2007","unstructured":"Julian A. Norato, Martin P. Bendsoe, Robert B. Haber, and Daniel A. Tortorelli. A topological derivative method for topology optimization. Struct. Multidisc. Optim., 33:375\u2013386, 2007.","journal-title":"Struct. Multidisc. Optim."},{"key":"26_CR33","unstructured":"G. Perla-Menzala, A. Feij\u2019oo Novotny, G\u00fcnter Leugering, and Jan Soko\u0142owski. Wellposedness of a dynamic wave-propagation problem in a coupled piezoelectric-elasticacoustic structure. Preprint, 2008."},{"issue":"3","key":"26_CR34","doi-asserted-by":"publisher","first-page":"475","DOI":"10.1016\/j.future.2003.07.011","volume":"20","author":"O Schenk","year":"2004","unstructured":"O. Schenk and K. G\u00f6rtner. Solving unsymmetric sparse systems of linear equations with PARDISO. Journal of Future Generation Computer Systems, 20(3):475\u2013487, 2004.","journal-title":"Journal of Future Generation Computer Systems"},{"key":"26_CR35","doi-asserted-by":"publisher","first-page":"120","DOI":"10.1007\/s001580050176","volume":"21","author":"Ole Sigmund","year":"2001","unstructured":"Ole Sigmund. A 99 Line topology optimization code written in MATLAB. J. Struct. Multidiscip. Optim., 21:120\u2013127, 2001.","journal-title":"J. Struct. Multidiscip. Optim."},{"key":"26_CR36","doi-asserted-by":"publisher","first-page":"350","DOI":"10.1088\/0964-1726\/8\/3\/307","volume":"8","author":"ECN Silva","year":"1999","unstructured":"E.C.N. Silva and N. Kikuchi. Design of piezoelectric transducers using topology optimization. Smart Mater. Struct., 8:350\u2013364, 1999.","journal-title":"Smart Mater. Struct."},{"issue":"3","key":"26_CR37","doi-asserted-by":"publisher","first-page":"657","DOI":"10.1109\/58.842054","volume":"47","author":"ECN Silva","year":"2000","unstructured":"E.C. N. Silva, N. Kikuchi, and S. Nishiwaki. Topology optimization design of flextensional actuators. IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 47(3):657\u2013671, 2000.","journal-title":"IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control"},{"key":"26_CR38","unstructured":"F. Wein, M. Kaltenbacher, F. Schury, G. Leugering, and E. B\u00f6nsch. Topology Optimization of Piezoelectric Actuators using the SIMP Method. In Proceedings of the 10th Workshop on Optimization and Inverse Problems in Electromagnetism \u2013 OIPE 2008, pages 46\u201347, September 2008. TU Ilmenau, 14.\u201317.09.2008."},{"key":"26_CR39","unstructured":"Fabian Wein. C++SCPIP, a C++ wrapper for SCPIP. Online, August 2007. http:\/\/cppmath.sourceforge.net ."},{"key":"26_CR40","unstructured":"Fabian Wein, Manfred Kaltenbacher, Barbara Kaltenbacher, G\u00fcnter Leugering, Eberhard B\u00e4nsch, and Fabian Schury. Topology optimization of piezoelectric layers using the simp method. Submitted for review, July 2008."},{"key":"26_CR41","unstructured":"Fabian Wein, Manfred Kaltenbacher, G\u00fcnter Leugering, Eberhard B\u00e4nsch, and Fabian Schury. Topology optimization of a piezoelectric-mechanical actuator with single- and multiple-frequency excitation. Submitted for review, October 2008."},{"key":"26_CR42","doi-asserted-by":"publisher","first-page":"1049","DOI":"10.1002\/nme.1900","volume":"70","author":"Gil Ho Yoon","year":"2006","unstructured":"Gil Ho Yoon, Jakob S. Jensen, and Ole Sigmund. Topology optimization of acousticstructure interaction problems using a mixed finite element formulation. International Journal for Numerical Methods in Engineering, 70:1049\u20131075, 2006.","journal-title":"International Journal for Numerical Methods in Engineering"},{"key":"26_CR43","doi-asserted-by":"crossref","unstructured":"Bin Zheng, Ching-Jui Chang, and Hae Chang Gea. Topology optimization of energy harvesting devices using piezoelectric materials. Structural and Multidisciplinary Optimization, 2008.","DOI":"10.1007\/s00158-008-0265-0"},{"issue":"5","key":"26_CR44","doi-asserted-by":"publisher","first-page":"362","DOI":"10.1007\/s00158-002-0248-5","volume":"24","author":"Ch Zillober","year":"2002","unstructured":"Ch. Zillober. SCPIP \u2013 an efficient software tool for the solution of structural optimization problems. Structural and Multidisciplinary Optimization, 24(5):362\u2013371, 2002.","journal-title":"Structural and Multidisciplinary Optimization"}],"container-title":["International Series of Numerical Mathematics","Constrained Optimization and Optimal Control for Partial Differential Equations"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-0348-0133-1_26","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,4,16]],"date-time":"2024-04-16T22:46:53Z","timestamp":1713307613000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-0348-0133-1_26"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,10,28]]},"ISBN":["9783034801324","9783034801331"],"references-count":44,"URL":"https:\/\/doi.org\/10.1007\/978-3-0348-0133-1_26","relation":{},"ISSN":["0373-3149","2296-6072"],"issn-type":[{"type":"print","value":"0373-3149"},{"type":"electronic","value":"2296-6072"}],"subject":[],"published":{"date-parts":[[2011,10,28]]},"assertion":[{"value":"28 October 2011","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}