| 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
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| Source Publication | Journal of Vibration and Acoustics-Transactions of The Asme
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| 2011 | |
| Volume | 133Issue:2Pages:21006 |
| ISSN | 1048-9002 |
| Abstract | With 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] |
| Keyword | Eigenfrequency Beam Plate Concentrated Mass/spring Vibration Resonator Free-vibration Analysis Translational Springs Rectangular Plate Mass Detection Sensor Arrays Beams Resonator Frequency Devices System |
| Subject Area | Acoustics ; Engineering ; Mechanics |
| DOI | 10.1115/1.4002121 |
| URL | 查看原文 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000288707600006 |
| WOS Keyword | FREE-VIBRATION ANALYSIS ; TRANSLATIONAL SPRINGS ; RECTANGULAR PLATE ; MASS DETECTION ; SENSOR ARRAYS ; BEAMS ; RESONATOR ; FREQUENCY ; DEVICES ; SYSTEM |
| WOS Research Area | Acoustics ; Engineering ; Mechanics |
| WOS Subject | Acoustics ; Engineering, Mechanical ; Mechanics |
| Funding Organization | This work is supported by the National Natural Science Foundation of China (NSFC) (Grant No. 10721202) and the LNM initial funding for young investigators. |
| Department | LNM纳/微系统力学与物理力学 |
| Classification | 二类/Q2 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/44939 |
| Collection | 非线性力学国家重点实验室 |
| Corresponding Author | Zhang, 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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