Support loss in the radial bulk-mode vibrations of center-supported micromechanical disk resonators

被引:55
作者
Hao, Zhili [1 ]
Ayazi, Farrokh [1 ]
机构
[1] Georgia Inst Technol, Sch Elect & Comp Engn, Atlanta, GA 30332 USA
基金
美国国家科学基金会;
关键词
disk resonators; radial bulk-mode; support loss; quality factor (Q); elastic waves; semi-infinite medium;
D O I
10.1016/j.sna.2006.05.020
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This paper presents a comprehensive analysis of support loss, the dominant loss mechanism, in center-supported micromechanical disk resonators operating in their radial bulk-modes. Through separation and coupling between the three components (disk, support beam, and support structure) of a disk resonator, support loss is evaluated quantitatively and the closed-form expression is obtained for support quality factor (Q(support)) of a center-supported disk resonator. The comparison between theoretical analysis and experimental data shows good agreement. This work provides significant insights into the geometrical design and choice of materials in high-Q center-supported disk resonant structures. To minimize support loss, a quarter wavelength rule exists for the height of the support beam in a center-supported disk resonator, similar to the length of torsion support beams of a free-free flexural beam resonator. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:582 / 593
页数:12
相关论文
共 10 条
[1]  
Clark JR, 2003, P IEEE INT FREQ CONT, P802
[2]   Support loss in micromechanical disk resonators [J].
Hao, ZL ;
Ayazi, F .
MEMS 2005 Miami: Technical Digest, 2005, :137-141
[3]   An analytical model for support loss in micromachined beam resonators with in-plane flexural vibrations [J].
Hao, ZL ;
Erbil, A ;
Ayazi, F .
SENSORS AND ACTUATORS A-PHYSICAL, 2003, 109 (1-2) :156-164
[4]  
Hsu WT, 2000, INTERNATIONAL ELECTRON DEVICES MEETING 2000, TECHNICAL DIGEST, P399, DOI 10.1109/IEDM.2000.904340
[5]   THE FIELD AND RADIATION IMPEDANCE OF MECHANICAL RADIATORS ON THE FREE SURFACE OF A SEMI-INFINITE ISOTROPIC SOLID [J].
MILLER, GF ;
PURSEY, H .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1954, 223 (1155) :521-541
[6]   Elastic, mechanical, and thermal properties of nanocrystalline diamond films [J].
Philip, J ;
Hess, P ;
Feygelson, T ;
Butler, JE ;
Chattopadhyay, S ;
Chen, KH ;
Chen, LC .
JOURNAL OF APPLIED PHYSICS, 2003, 93 (04) :2164-2171
[7]   1.51-GHz nanocrystalline diamond micromechanical disk resonator with material-mismatched isolating support [J].
Wang, J ;
Butler, JE ;
Feygelson, T ;
Nguyen, CTC .
MEMS 2004: 17TH IEEE INTERNATIONAL CONFERENCE ON MICRO ELECTRO MECHANICAL SYSTEMS, TECHNICAL DIGEST, 2004, :641-644
[8]  
Wang J, 2003, IEEE RAD FREQ INTEGR, P335, DOI 10.1109/RFIC.2003.1213956
[9]   VHF free-free beam high-Q micromechanical resonators [J].
Wang, K ;
Wong, AC ;
Nguyen, CTC .
JOURNAL OF MICROELECTROMECHANICAL SYSTEMS, 2000, 9 (03) :347-360
[10]  
Yong Warren C., 1989, ROARKS FORMULAS STRE