Next Article in Journal
Ultra-Sensitive Flexible Tactile Sensor Based on Graphene Film
Previous Article in Journal
Squeezing Dynamic Mechanism of High-Viscosity Droplet and its Application for Adhesive Dispensing in Sub-Nanoliter Resolution
Open AccessArticle

Nonlinear Coupled Vibration of Electrically Actuated Arch with Flexible Supports

School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an 710129, Shaanxi Province, China
*
Author to whom correspondence should be addressed.
Micromachines 2019, 10(11), 729; https://doi.org/10.3390/mi10110729
Received: 29 September 2019 / Revised: 18 October 2019 / Accepted: 24 October 2019 / Published: 28 October 2019
The nonlinear coupled vibration of an electrically actuated arch microbeam has attracted wide attention. In this paper, we studied the nonlinear dynamics of an electrically actuated arch microbeam with flexible supports. The two-to-one internal resonance between the first and second modes is considered. The multiple scales method is used to solve the governing equation. Four first-order ordinary differential equation describing the modulation of the amplitudes and phase angles were obtained. The equilibrium solution and its stability are determined. In the case of the primary resonance of the first mode, stable periodic motions and modulated motions are determined. The double-jumping phenomenon may occur. In the case of the primary resonance of the second mode, single-mode and two-mode solutions are possible. Moreover, double-jumping, hysteresis, and saturation phenomena were found. In addition, the approximate analytical results are supported by the numerical results. View Full-Text
Keywords: electrically actuated arch microbeam; flexible support; two-to-one internal resonance; nonlinear vibration electrically actuated arch microbeam; flexible support; two-to-one internal resonance; nonlinear vibration
Show Figures

Figure 1

MDPI and ACS Style

Wang, Z.; Ren, J. Nonlinear Coupled Vibration of Electrically Actuated Arch with Flexible Supports. Micromachines 2019, 10, 729.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop