{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,18]],"date-time":"2025-11-18T12:12:34Z","timestamp":1763467954974,"version":"3.41.0"},"reference-count":48,"publisher":"Association for Computing Machinery (ACM)","issue":"5","license":[{"start":{"date-parts":[[2009,12,1]],"date-time":"2009-12-01T00:00:00Z","timestamp":1259625600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["CAREER-0430528HCC-0905506"],"award-info":[{"award-number":["CAREER-0430528HCC-0905506"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000145","name":"Division of Information and Intelligent Systems","doi-asserted-by":"publisher","award":["CAREER-0430528HCC-0905506"],"award-info":[{"award-number":["CAREER-0430528HCC-0905506"]}],"id":[{"id":"10.13039\/100000145","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["ACM Trans. Graph."],"published-print":{"date-parts":[[2009,12]]},"abstract":"<jats:p>\n            We propose a procedural method for synthesizing realistic sounds due to nonlinear thin-shell vibrations. We use linear modal analysis to generate a small-deformation displacement basis, then couple the modes together using nonlinear thin-shell forces. To enable audio-rate time-stepping of mode amplitudes with mesh-independent cost, we propose a reduced-order dynamics model based on a thin-shell cubature scheme. Limitations such as mode locking and pitch glide are addressed. To support fast evaluation of mid-frequency mode-based sound radiation for detailed meshes, we propose\n            <jats:italic>far-field acoustic transfer maps<\/jats:italic>\n            (FFAT maps) which can be precomputed using state-of-the-art fast Helmholtz multipole methods. Familiar examples are presented including rumbling trash cans and plastic bottles, crashing cymbals, and noisy sheet metal objects, each with increased richness over linear modal sound models.\n          <\/jats:p>","DOI":"10.1145\/1618452.1618465","type":"journal-article","created":{"date-parts":[[2009,12,8]],"date-time":"2009-12-08T20:53:14Z","timestamp":1260305594000},"page":"1-10","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":51,"title":["Harmonic shells"],"prefix":"10.1145","volume":"28","author":[{"given":"Jeffrey N.","family":"Chadwick","sequence":"first","affiliation":[{"name":"Cornell University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Steven S.","family":"An","sequence":"additional","affiliation":[{"name":"Cornell University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Doug L.","family":"James","sequence":"additional","affiliation":[{"name":"Cornell University"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2009,12]]},"reference":[{"volume-title":"Representations of musical signals","author":"Adrien J.-M.","key":"e_1_2_1_1_1"},{"key":"e_1_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.1145\/1409060.1409118"},{"key":"e_1_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1145\/280814.280821"},{"key":"e_1_2_1_4_1","unstructured":"Bathe K.-J. 1996. Finite Element Procedures second ed. Prentice Hall.  Bathe K.-J. 1996. Finite Element Procedures second ed. Prentice Hall."},{"volume-title":"Eurographics Symposium on Geometry Processing, 227--230","author":"Bergou M.","key":"e_1_2_1_5_1"},{"key":"e_1_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1002\/num.20260"},{"key":"e_1_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1145\/1360612.1360623"},{"volume-title":"2003 ACM SIGGRAPH\/Eurographics Symposium on Computer Animation, 28--36","author":"Bridson R.","key":"e_1_2_1_8_1"},{"key":"e_1_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.1109\/89.709673"},{"key":"e_1_2_1_10_1","doi-asserted-by":"publisher","DOI":"10.1250\/ast.26.403"},{"key":"e_1_2_1_11_1","doi-asserted-by":"crossref","unstructured":"Chapelle D. and Bathe K. 2003. The finite element analysis of shells. Springer.  Chapelle D. and Bathe K. 2003. The finite element analysis of shells . Springer.","DOI":"10.1007\/978-3-662-05229-7"},{"volume":"26","volume-title":"Real-Time Simulation of Thin Shells. In Computer Graphics Forum","author":"Choi M.","key":"e_1_2_1_12_1"},{"key":"e_1_2_1_13_1","doi-asserted-by":"publisher","DOI":"10.1002\/nme.182.abs"},{"key":"e_1_2_1_14_1","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1097-0207(20000430)47:12<2039::AID-NME872>3.0.CO;2-1"},{"key":"e_1_2_1_15_1","doi-asserted-by":"crossref","unstructured":"Cook P. 2002. Real Sound Synthesis for Interactive Applications. A. K. Peters.   Cook P. 2002. Real Sound Synthesis for Interactive Applications . A. K. Peters.","DOI":"10.1201\/b19597"},{"key":"e_1_2_1_16_1","unstructured":"Cremer L. Heckl M. and Ungar E. 1990. Structure Borne Sound: Structural Vibrations and Sound Radiation at Audio Frequencies 2nd ed. Springer January.  Cremer L. Heckl M. and Ungar E. 1990. Structure Borne Sound: Structural Vibrations and Sound Radiation at Audio Frequencies 2nd ed. Springer January."},{"volume-title":"Proceedings of ISMA","year":"2002","author":"Desmet W.","key":"e_1_2_1_17_1"},{"key":"e_1_2_1_18_1","doi-asserted-by":"publisher","DOI":"10.1088\/0034-4885\/62\/5\/202"},{"key":"e_1_2_1_19_1","doi-asserted-by":"publisher","DOI":"10.1006\/jsvi.1994.1428"},{"volume-title":"ACM SIGGRAPH Symposium on Computer Animation, 91--98","author":"Garg A.","key":"e_1_2_1_20_1"},{"key":"e_1_2_1_21_1","unstructured":"Gingold Y. Secord A. Han J. Y. Grinspun E. and Zorin D. 2004. A Discrete Model for Inelastic Deformation of Thin Shells. Tech. rep. Courant Institute of Mathematical Sciences New York University Aug.  Gingold Y. Secord A. Han J. Y. Grinspun E. and Zorin D. 2004. A Discrete Model for Inelastic Deformation of Thin Shells. Tech. rep. Courant Institute of Mathematical Sciences New York University Aug."},{"key":"e_1_2_1_22_1","doi-asserted-by":"publisher","DOI":"10.1145\/566282.566321"},{"volume-title":"ACM SIGGRAPH Symposium on Computer Animation, 62--67","author":"Grinspun E.","key":"e_1_2_1_23_1"},{"key":"e_1_2_1_24_1","doi-asserted-by":"crossref","unstructured":"Gumerov N. and Duraiswami R. 2005. Fast Multipole Methods for the Helmholtz Equation in Three Dimensions. Elsevier Science.  Gumerov N. and Duraiswami R. 2005. Fast Multipole Methods for the Helmholtz Equation in Three Dimensions . Elsevier Science.","DOI":"10.1016\/B978-008044371-3\/50009-0"},{"key":"e_1_2_1_25_1","unstructured":"Hamming R. W. 1983. Digital Filters. Prentice-Hall Englewood Cliffs NJ.  Hamming R. W. 1983. Digital Filters . Prentice-Hall Englewood Cliffs NJ."},{"key":"e_1_2_1_26_1","doi-asserted-by":"publisher","DOI":"10.1145\/566654.566621"},{"key":"e_1_2_1_27_1","doi-asserted-by":"publisher","DOI":"10.1145\/1015706.1015735"},{"key":"e_1_2_1_28_1","doi-asserted-by":"publisher","DOI":"10.1145\/1141911.1141983"},{"key":"e_1_2_1_29_1","doi-asserted-by":"publisher","DOI":"10.1002\/nme.167"},{"key":"e_1_2_1_30_1","doi-asserted-by":"crossref","unstructured":"Liu Y. J. 2009. Fast Multipole Boundary Element Method: Theory and Applications in Engineering. Cambridge University Press Cambridge.  Liu Y. J. 2009. Fast Multipole Boundary Element Method: Theory and Applications in Engineering . Cambridge University Press Cambridge.","DOI":"10.1017\/CBO9780511605345"},{"key":"e_1_2_1_31_1","unstructured":"Malatkar P. 2003. Nonlinear vibrations of cantilever beams and plates. PhD thesis Virginia Polytechnic Institute and State University Blacksburg VA USA.  Malatkar P. 2003. Nonlinear vibrations of cantilever beams and plates . PhD thesis Virginia Polytechnic Institute and State University Blacksburg VA USA."},{"key":"e_1_2_1_32_1","doi-asserted-by":"publisher","DOI":"10.1006\/jsvi.2001.4146"},{"key":"e_1_2_1_33_1","unstructured":"Nayfeh A. and Mook D. 1979. Nonlinear oscillations. Wiley-Interscience.  Nayfeh A. and Mook D. 1979. Nonlinear oscillations . Wiley-Interscience."},{"key":"e_1_2_1_34_1","doi-asserted-by":"publisher","DOI":"10.1115\/1.2873898"},{"key":"e_1_2_1_35_1","doi-asserted-by":"publisher","DOI":"10.1145\/383259.383321"},{"key":"e_1_2_1_36_1","doi-asserted-by":"publisher","DOI":"10.1145\/545261.545290"},{"key":"e_1_2_1_37_1","doi-asserted-by":"publisher","DOI":"10.1145\/74333.74355"},{"key":"e_1_2_1_38_1","doi-asserted-by":"publisher","DOI":"10.1121\/1.418017"},{"key":"e_1_2_1_39_1","doi-asserted-by":"publisher","DOI":"10.1145\/1111411.1111429"},{"key":"e_1_2_1_40_1","unstructured":"Shabana A. A. 1990. Theory of Vibration Volume II: Discrete and Continuous Systems. Springer--Verlag New York NY.  Shabana A. A. 1990. Theory of Vibration Volume II: Discrete and Continuous Systems . Springer--Verlag New York NY."},{"key":"e_1_2_1_41_1","doi-asserted-by":"crossref","unstructured":"Shabana A. 2005. Dynamics of Multibody Systems 3rd ed. Cambridge.  Shabana A. 2005. Dynamics of Multibody Systems 3rd ed. Cambridge.","DOI":"10.1017\/CBO9780511610523"},{"key":"e_1_2_1_42_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00466-006-0121-2"},{"key":"e_1_2_1_43_1","doi-asserted-by":"publisher","DOI":"10.1145\/37401.37427"},{"key":"e_1_2_1_44_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsv.2003.04.005"},{"volume-title":"Intl Conf. on Auditory Display.","author":"van den Doel K.","key":"e_1_2_1_45_1"},{"key":"e_1_2_1_46_1","doi-asserted-by":"publisher","DOI":"10.1145\/383259.383322"},{"volume-title":"Auralization: Fundamentals of Acoustics, Modelling, Simulation, Algorithms and Acoustic Virtual Reality","year":"2007","author":"Vorlander M.","key":"e_1_2_1_47_1"},{"key":"e_1_2_1_48_1","doi-asserted-by":"publisher","DOI":"10.1121\/1.2977731"}],"container-title":["ACM Transactions on Graphics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1618452.1618465","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/dl.acm.org\/doi\/pdf\/10.1145\/1618452.1618465","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/1618452.1618465","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T12:18:06Z","timestamp":1750249086000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1618452.1618465"}},"subtitle":["a practical nonlinear sound model for near-rigid thin shells"],"short-title":[],"issued":{"date-parts":[[2009,12]]},"references-count":48,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2009,12]]}},"alternative-id":["10.1145\/1618452.1618465"],"URL":"https:\/\/doi.org\/10.1145\/1618452.1618465","relation":{},"ISSN":["0730-0301","1557-7368"],"issn-type":[{"type":"print","value":"0730-0301"},{"type":"electronic","value":"1557-7368"}],"subject":[],"published":{"date-parts":[[2009,12]]},"assertion":[{"value":"2009-12-01","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}