Publication:
A new concept of modal participation factor for numerical instability in the dual BEM for exterior acoustics

cris.lastimport.scopus2025-04-29T21:42:17Z
cris.virtual.departmentCivil Engineeringen_US
cris.virtual.orcid0000-0001-6576-8297en_US
cris.virtualsource.department3d2bff6d-275d-46f4-a40f-001fb5603b12
cris.virtualsource.orcid3d2bff6d-275d-46f4-a40f-001fb5603b12
dc.contributor.authorChen J.Ten_US
dc.contributor.authorChen K.Hen_US
dc.contributor.authorChen I.Len_US
dc.contributor.authorLiu L.W.en_US
dc.contributor.authorLI-WEI LIUen_US
dc.creatorChen J.T;Chen K.H;Chen I.L;Liu L.W.
dc.date.accessioned2022-11-11T03:00:15Z
dc.date.available2022-11-11T03:00:15Z
dc.date.issued2003
dc.description.abstractThis paper presents the occurring mechanism why irregular frequencies are imbedded in the exterior acoustics using the dual boundary element method (BEM). The modal participation factor which dominates the numerical instability is derived for continuous and discrete systems. In addition, the irregular (fictitious) frequencies embedded in the singular or hypersingular integral equations are discussed, respectively. It is found that the irregular values depend on the kernels in the integral representation for the solution. A two-dimensional dual BEM program for the exterior acoustics was developed. Numerical experiments are conducted to verify the concept of modal participation factor. © 2002 Elsevier Science Ltd. All rights reserved.
dc.identifier.doi10.1016/S0093-6413(02)00351-8
dc.identifier.issn00936413
dc.identifier.scopus2-s2.0-0037366865
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-0037366865&doi=10.1016%2fS0093-6413%2802%2900351-8&partnerID=40&md5=3f92662f01e0c3ed91d55c9eaf78e36f
dc.identifier.urihttps://scholars.lib.ntu.edu.tw/handle/123456789/624863
dc.relation.ispartofMechanics Research Communications
dc.relation.journalissue2
dc.relation.journalvolume30
dc.relation.pages161-174
dc.subjectDual BEM; Exterior acoustics; Fictitious frequency; Modal participation factor; Scattering
dc.subject.otherBoundary element method; Frequencies; Integral equations; Modal analysis; Numerical methods; Exterior acoustics; Acoustics
dc.titleA new concept of modal participation factor for numerical instability in the dual BEM for exterior acousticsen_US
dc.typejournal articleen
dspace.entity.typePublication

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