Nonlinear mechanism of pull-in and snap-through in microbeam due to asymmetric bias voltages

Han, Jianxin; Li, Lei; Jin, Gang; Li, Baizhou; Wang, Wei; Zhang, Qichang

doi:10.1007/s11071-020-05883-1

Cited by 3 publications

(2 citation statements)

References 56 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this work, only the unfolding analysis of singularity theory is used to derive the bifurcation of the dynamic response. The concrete process can be found in Han et al [ 38 ].…”

Section: Dynamic Analyze and Bifurcation Investigationmentioning

confidence: 99%

Dynamic Design of a Quad-Stable Piezoelectric Energy Harvester via Bifurcation Theory

Zhang

Yan

Han

et al. 2022

Sensors

Self Cite

View full text Add to dashboard Cite

The parameter tuning of a multi-stable energy harvester is crucial to enhancing harvesting efficiency. In this paper, the bifurcation theory is applied to quantitatively reveal the effects of structural parameters on the statics and dynamics of a quad-stable energy harvester (QEH). Firstly, a novel QEH system utilizing the geometric nonlinearity of springs is proposed. Static bifurcation analysis is carried out to design quad-stable working conditions. To investigate the cross-well and high-energy vibration, the complex dynamic frequency (CDF) method, suitable for both weakly and strongly nonlinear dynamic problems, is then applied to deduce the primary response solution. By using the unfolding analysis in singularity theory, four steady-state properties and dozens of primary resonance modes are demonstrated. Based on the transition set, the effective bandwidth for energy harvesting can be customized to adapt well to various vibration environments by parametric adjustment. Finally, the experimental tests verify that the output power can reach up to 1 mW. The proposed QEH and its mechanics optimization can guide energy supply for next-generation wireless systems and low-power sensors under magnetic forbidding environments.

show abstract

“…In this work, only the unfolding analysis of singularity theory is used to derive the bifurcation of the dynamic response. The concrete process can be found in Han et al [ 38 ].…”

Section: Dynamic Analyze and Bifurcation Investigationmentioning

confidence: 99%

Dynamic Design of a Quad-Stable Piezoelectric Energy Harvester via Bifurcation Theory

Zhang

Yan

Han

et al. 2022

Sensors

Self Cite

View full text Add to dashboard Cite

show abstract

“…Furter [10] studied bifurcation problems using singularity theory introducing preserving path formulation. Han et al [11] studied nonlinear mechanism of microbeam, especially static analysis via singularity theory. The bifurcation of symmetric system modelled by a class of two degree-of-freedom piecewise smooth system remains to be analysed.…”

Section: Introductionmentioning

confidence: 99%

Bifurcation Analysis of a Four-Dimensional System of Two Symmetric Coupled Nonlinear Oscillators with Clearance

Guo

Zhu

et al. 2022

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

The research gradually highlights vibration and dynamical analysis of symmetric coupled nonlinear oscillators model with clearance. The aim of this paper is the bifurcation analysis of the symmetric coupled nonlinear oscillators modeled by a four-dimensional nonsmooth system. The approximate solution of this system is obtained with aid of averaging method and Krylov-Bogoliubov (KB) transformation presented by new notations of matrices. The bifurcation function is derived to investigate its dynamic behaviour by singularity theory. The results obtained provide guidance for the nonlinear vibration of symmetric coupled nonlinear oscillators model with clearance.

show abstract

Dynamic Responses and High-Energy Vibration Analysis of Flexible Resonant Curved Microbeam on a Soft Substrate

Zhao

Liu

et al. 2022

J. Vib. Eng. Technol.

View full text Add to dashboard Cite

Nonlinear mechanism of pull-in and snap-through in microbeam due to asymmetric bias voltages

Cited by 3 publications

References 56 publications

Dynamic Design of a Quad-Stable Piezoelectric Energy Harvester via Bifurcation Theory

Dynamic Design of a Quad-Stable Piezoelectric Energy Harvester via Bifurcation Theory

Bifurcation Analysis of a Four-Dimensional System of Two Symmetric Coupled Nonlinear Oscillators with Clearance

Dynamic Responses and High-Energy Vibration Analysis of Flexible Resonant Curved Microbeam on a Soft Substrate

Contact Info

Product

Resources

About