摘要
基于Euler-Bernoulli理论,提出了非线性静电力和压膜阻尼效应下裂纹微悬臂梁的动力学模型与分析方法,研究了耦合作用下裂纹微悬臂梁结构的振动特性。模型中裂纹采用转动弹簧模拟,该模型引起位移一阶导数不连续,不连续度与二阶导数成比例。结果表明,裂纹位置、裂纹开裂程度、非线性静电力以及非线性压膜阻尼效应对裂纹微悬臂梁结构的振动特性都有着较大影响。研究结果可用于微器件的设计、性能改进及健康检测。
Based on Euler-Bernoulli beam theory, the dynamic model and analysis method for a cracked micro-cantilever beam under coupling action of nonlinear electrostatic force and squeeze film damping effect were proposed. The dynamic behavior of the cracked micro-cantilever beam structure was studied under coupling action of nonlinear electrostatic force and squeeze film damping effect. The cracked beam model was established using the classical cracked beam theory, the cracked element was divided into two segments connected with a rotational spring located at the cracked cross-section. This model brought a discontinuity of bending slope, it was proportional to the second derivative of deflection. Results indicated that crack position and severity, nonlinear electrostatic force and squeeze film damping have important effects on the vibration behavior of the beam structure. The study results were useful for design, performance improvement and health monitoring of micro-devices.
出处
《振动与冲击》
EI
CSCD
北大核心
2013年第17期41-45,63,共6页
Journal of Vibration and Shock
基金
国家自然科学基金(11072147)
上海市青年科技启明星计划(11QA1403400)
关键词
微悬臂梁
静电驱动
裂纹
振动分析
Cantilever beams
Damping
Electrostatic actuators
Electrostatic devices
Electrostatic force
Prestressed beams and girders
Vibration analysis
