journal article·2015-11-01Open access

Effects of Van der Waals force on natural frequency for micro cantilever

Lizhong Xu, Fengqiang Qian, Yulei Liu

AIP Advances· Volume 5· Issue 11

Abstract

In this paper, a dynamics equation of the micro cantilever is presented which includes Van der Waals force. Using the equation, the effects of the Van der Waals force on the natural frequency for the micro cantilever is investigated. Results show that Van der Waals force should be considered for small initial clearance between the micro cantilever and base plate, small cantilever thickness and large cantilever length. To illustrate the analysis, a micro Si cantilever is fabricated and a test of the natural frequencies is done which illustrates the calculative results in this paper.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Advanced MEMS and NEMS Technologies · Mechanical and Optical Resonators · Experimental and Theoretical Physics Studies

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Yanshan University School of Mechanical Engineering, , Qinhuangdao 066004, China

Funding

Key Basic Research Foundation in Hebei Province of China

References (14)

Show source-provided references
1. Microactuators and their technologies10.1016/S0957-4158(99)00063-X ↗
2. AC transfer function of electrostatic capacitive sensors based on the 1-D equivalent model: application to silicon microphones10.1109/JMEMS.2003.820290 ↗
3. Microstructure grooves with a width of less than 50 µm cut with ground hard metal micro end mills10.1016/S0141-6359(99)00011-2 ↗
4. Silicon monolithic micromechanical gyroscope
5. Silicon rate sensor using anisotropic etching technology
6. AC transfer function of electrostatic capacitive sensors based on the 1-D equivalent model: application to silicon microphones10.1109/JMEMS.2003.820290 ↗
7. Electromechanical coupled dynamics for micro beams10.1142/S0219455406001939 ↗
8. Closed-form approximation and numerical validation of the influence of van der Waals force on electrostatic cantilevers at nano-scale separations10.1088/0957-4484/19/01/015501 ↗
9. Closed-form approximations of the pull-in parameters and stress field of electrostatic cantilever nano-actuators considering van der Waals attraction10.1016/j.proeng.2011.04.613 ↗
10. Modeling the influence of surface effect on instability of nano-cantilever in presence of Van der Waals force
11. Dynamic pull-in instability of electrostatically actuated beams incorporating Casimir and van der Waals forces10.1243/09544062JMES1716 ↗
12. Modeling the effect of Van der Waals attraction on the instability of electrostatic cantilever and doubly-supported nano-beams using modified adomian method10.1142/S0219455412500368 ↗
13. Accurate electrostatic and van der Waals pull-in prediction for fully clamped nano/micro-beams using linear universal graphs of pull-in instability10.1016/j.physe.2014.05.023 ↗
14. 2011