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1Static and dynamic responses of a microcantilever with a T-shaped tip mass to an electrostatic actuation显示文摘In this study, nonlinear static and dynamic responses of a microcantilever with a T-shaped tip mass excited by electrostatic actuations are investigated. The electrostatic force is generated by applying an electric voltage between the horizontal part of T-shaped tip mass and an opposite electrode plate. The cantilever microbeam is modeled as an Euler–Bernoulli beam. The T-shaped tip mass is assumed to be a rigid body and the nonlinear effect of electrostatic force is considered. An equation of motion and its associated boundary conditions are derived by the aid of combining the Hamilton principle and Newton's method.An exact solution is obtained for static deflection and mode shape of vibration around the static position. The differential equation of nonlinear vibration around the static position is discretized using the Galerkin method. The system mode shapes are used as its related comparison functions. The discretized equations are solved by the perturbation theory in the neighborhood of primary and subharmonic resonances.In addition, effects of mass inertia, mass moment of inertia as well as rotation of the T-shaped mass, which were ignored in previous works, are considered in the analysis. It is shown that by increasing the length of the horizontal part of the T-shaped mass, the amount of static deflection increases,natural frequency decreases and nonlinear shift of the resonance frequency increases. It is concluded that attaching an electrode plate with a T-shaped configuration to the end of the cantilever microbeam results in a configuration with larger pull-in voltage and smaller nonlinear shift of the reso-nance frequency compared to the configuration in which the electrode plate is directly attached to it.B.Firouzi M.Zamanian S.A.A.Hosseini 2016Acta Mechanica Sinica2016,32,6:2
2Non-contact evaluation of the resonant frequency of a microstructure using ultrasonic wave显示文摘这份报纸为评估微观结构的反响的频率论述一个新奇非接触方法。第一,在测试下面的微观结构被超声的波浪激动。这个刺激方法不在这是的象静电的刺激一样并且也的标本上强加任何未定义的负担为在文学使微观结构激动的超声的波浪的第一实际使用。第二,微观结构的振幅被图象边察觉在微观结构的颤动的图象上用墨西哥帽子小浪变换决定。当微观结构被超声的波浪在一系列分离高频率颤动时,颤动的图象被一个电荷耦合器件照相机捕获(> 30 kHz ) 。在处理颤动的图象之上,在各种各样的刺激频率的振幅被获得,一个振幅频率系列从反响的频率随后从哪个被评估被获得。由一个穿孔盘子组成的微硅结构(192 脳 192 渭 m ) 并且二根伸臂横梁(76 脳 43 渭 m ) 它是大约 4 渭 m 厚度被测试。一个测试目标上的后来,激光 interferometry 没被要求的、热效果能被避免。因此,安装相对简单。结果证明建议方法是为评估微观结构的动态特征的一条简单、有效的途径。关键词非接触 - 微观结构 - 反响的频率 - 超声的波浪 - 处理工程的图象由中国(10772086 和 10727201 ) 和新加坡(R-265-000-140-112 ) 的国家大学的国家自然科学基础支持了。X. Kang X. Y. He C.J. Tay C. Quan 2010Acta Mechanica Sinica2010,26,2:1
3热电耦合场中压电粘弹性微梁的静力坍塌分析显示文摘基于粘弹性理论、欧拉-伯努利梁理论以及压电理论,在考虑微结构蠕变现象的情况下,建立了热电耦合场中压电粘弹性微梁的静力坍塌模型及控制方程,研究了压电粘弹性微梁的静力坍塌临界条件,计算和分析了压电层控制电压和温度等参数对微梁结构静力坍塌的影响。研究结果表明:持久坍塌电压可作为压电粘弹性微梁静力坍塌失稳的临界条件,并且温度和压电层控制电压均会对坍塌失稳的临界值造成影响。该文的研究可为MEMS中梁式微结构的设计与优化提供理论参考。陈昌萍 胡海涛 2016工程力学2016,33,4:0
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