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Eigenfrequency Computation of Beam/Plate Carrying Concentrated Mass/Spring
Zhang Y(张吟); Zhang, Y (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China
Source PublicationJournal of Vibration and Acoustics-Transactions of The Asme
2011
Volume133Issue:2Pages:21006
ISSN1048-9002
AbstractWith the adsorption of analyte on the resonator mass sensor, the system eigenfrequencies will shift due to the changes of inertial mass and structural rigidity. How to model those changes and formulate the eigenfrequency computation is very important to the mass sensor application, which results in different accuracies and requires different amounts of computation. Different methods on the eigenfrequency computation of a beam and a plate carrying arbitrary number of concentrated mass/spring are presented and compared. The advantages and disadvantages of these methods are analyzed and discussed. A new method called finite mode transform method (FMTM) is shown to have good convergence and require much less computation for a beam carrying concentrated mass/spring. Because the previous finite sine transform method (FSTM) has only been applied to compute the eigenfrequency of the plate with four edges simply supported carrying a single concentrated mass, here a generalized FSTM is also presented for the case of the same plate carrying arbitrary number of concentrated mass and spring. When the total number of concentrated mass and spring is small, FMTM and FSTM are demonstrated to be very efficient. [DOI: 10.1115/1.4002121]
KeywordEigenfrequency Beam Plate Concentrated Mass/spring Vibration Resonator Free-vibration Analysis Translational Springs Rectangular Plate Mass Detection Sensor Arrays Beams Resonator Frequency Devices System
Subject AreaAcoustics ; Engineering ; Mechanics
DOI10.1115/1.4002121
URL查看原文
Indexed BySCI ; EI
Language英语
WOS IDWOS:000288707600006
WOS KeywordFREE-VIBRATION ANALYSIS ; TRANSLATIONAL SPRINGS ; RECTANGULAR PLATE ; MASS DETECTION ; SENSOR ARRAYS ; BEAMS ; RESONATOR ; FREQUENCY ; DEVICES ; SYSTEM
WOS Research AreaAcoustics ; Engineering ; Mechanics
WOS SubjectAcoustics ; Engineering, Mechanical ; Mechanics
Funding OrganizationThis work is supported by the National Natural Science Foundation of China (NSFC) (Grant No. 10721202) and the LNM initial funding for young investigators.
DepartmentLNM纳/微系统力学与物理力学
Classification二类/Q2
Citation statistics
Cited Times:16[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/44939
Collection非线性力学国家重点实验室
Corresponding AuthorZhang, Y (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Zhang Y,Zhang, Y . Eigenfrequency Computation of Beam/Plate Carrying Concentrated Mass/Spring[J]. Journal of Vibration and Acoustics-Transactions of The Asme,2011,133(2):21006
APA 张吟,&Zhang, Y .(2011).Eigenfrequency Computation of Beam/Plate Carrying Concentrated Mass/Spring.Journal of Vibration and Acoustics-Transactions of The Asme,133(2),21006.
MLA 张吟,et al."Eigenfrequency Computation of Beam/Plate Carrying Concentrated Mass/Spring".Journal of Vibration and Acoustics-Transactions of The Asme 133.2(2011):21006.
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