Nonlinear forced oscillations of piezoelectric resonators

被引:2
作者
Li, H [1 ]
Preidikman, S [1 ]
Balachandran, B [1 ]
机构
[1] Univ Maryland, Dept Mech Engn, College Pk, MD 20742 USA
来源
SMART STRUCTURES AND MATERIALS 2005: MODELING, SIGNAL PROCESSING, AND CONTROL | 2005年 / 5757卷
关键词
clamped-clamped resonator structure; piezoelectric actuation; MEMS resonator; multiple scales method; stepwise varying properties; dynamic buckling; SYSTEMS;
D O I
10.1117/12.597950
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Forced oscillations of piezoelectric, micro-electromechanical (MEMS) resonators fabricated as clamped-clamped composite structures are studied in this effort. Piezoelectric actuation is used to excite these structures on the input side and piezoelectric sensing is carried out on the output side. Each resonator structure is modeled as an Euler-Bernoulli beam with axially varying properties across the length and distributed actuation. A nonlinear integro-partial differential system is derived to describe the micro-resonator. For weak damping and weak forcing, the method of multiple scales is used to obtain an approximate solution of the system about a post-buckling position. The different modeling assumptions are presented and discussed, and the analytical prediction is compared with experimental observation.
引用
收藏
页码:30 / 41
页数:12
相关论文
共 19 条
[1]   Self-buckling of micromachined beams under resistive heating [J].
Chiao, M ;
Lin, LW .
JOURNAL OF MICROELECTROMECHANICAL SYSTEMS, 2000, 9 (01) :146-151
[2]  
CURRANO L, 2002, THESIS U MARYLAND CO
[3]   Piezoelectric thin film micromechanical beam resonators [J].
DeVoe, DL .
SENSORS AND ACTUATORS A-PHYSICAL, 2001, 88 (03) :263-272
[4]  
Fang W., 1994, Proceedings IEEE Micro Electro Mechanical Systems. An Investigation of Micro Structures, Sensors, Actuators, Machines and Robotic Systems (Cat. No.94CH3404-1), P182, DOI 10.1109/MEMSYS.1994.555620
[5]   Experimental validation of reduction methods for nonlinear vibrations of distributed-parameter systems: Analysis of a buckled beam [J].
Lacarbonara, W ;
Nayfeh, AH ;
Kreider, W .
NONLINEAR DYNAMICS, 1998, 17 (02) :95-117
[6]  
LI H, 2002, P ASME INT MECH ENG
[7]  
LI H, 2003, P ASME INT DES ENG T
[8]  
LIN LW, 1992, IEEE MICRO ELECTRO MECHANICAL SYSTEMS : AN INVESTIGATION OF MICRO STRUCTURES, SENSORS, ACTUATORS, MACHINES AND ROBOTS, P226
[9]  
Lindberg U, 1993, J MICROMECH MICROENG, V3, P183
[10]  
MURDOCK JA, 1991, PERTURBATIONS, P227