Eigenfrequency Computation of Beam/Plate Carrying Concentrated Mass/Spring

doi:10.1115/1.4002121

IMECH-IR > 非线性力学国家重点实验室

	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
发表期刊	Journal of Vibration and Acoustics-Transactions of The Asme
	2011
卷号	133 期号:2 页码:21006
ISSN	1048-9002
摘要	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]
关键词	Eigenfrequency Beam Plate Concentrated Mass/spring Vibration Resonator Free-vibration Analysis Translational Springs Rectangular Plate Mass Detection Sensor Arrays Beams Resonator Frequency Devices System
学科领域	Acoustics ; Engineering ; Mechanics
DOI	10.1115/1.4002121
URL	查看原文
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000288707600006
关键词[WOS]	FREE-VIBRATION ANALYSIS ; TRANSLATIONAL SPRINGS ; RECTANGULAR PLATE ; MASS DETECTION ; SENSOR ARRAYS ; BEAMS ; RESONATOR ; FREQUENCY ; DEVICES ; SYSTEM
WOS研究方向	Acoustics ; Engineering ; Mechanics
WOS类目	Acoustics ; Engineering, Mechanical ; Mechanics
项目资助者	This work is supported by the National Natural Science Foundation of China (NSFC) (Grant No. 10721202) and the LNM initial funding for young investigators.
课题组名称	LNM纳/微系统力学与物理力学
论文分区	二类/Q2
引用统计	被引频次：20[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/44939
专题	非线性力学国家重点实验室
通讯作者	Zhang, Y (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China
推荐引用方式 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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