Nonlinear Vibration Analysis of MEMS Micro-Beam Structure Acting by Multi-Couplings Factors

2011 ◽  
Author(s):  
Dengwei Huang ◽  
Shoujian Li ◽  
Changping Chen ◽  
Liming Dai
Keyword(s):  
Frequency Response ◽  
Nonlinear Vibration ◽  
Geometric Nonlinearity ◽  
Harmonic Balance Method ◽  
Beam Theory ◽  
Response Characteristic ◽  
Frequency Response Characteristic ◽  
Beam Structure ◽  
Damping Force ◽  
Air Damping

In this paper, the nonlinear vibration characteristics of the micro-beam structure acting by multi-couplings factors are investigated. Taking the nonlinear air damping force, alternating voltage excitation as well as the geometric nonlinearity of the micro-beam into account, the nonlinear vibration governing equations of the micro-beam are derived on the basis of the Euler-Bernoulli beam theory. The Galerkin method and harmonic balance method are adopted to obtain the amplitude-frequency response characteristic and phase-frequency response characteristic of the micro-beam structure. Then the effects of the nonlinear air damping force and the geometric nonlinearity on the resonance frequency and stiffness of micro-beam structure are analyzed.

scholarly journals Nonlinear vibration of knitted spacer fabric under harmonic excitation

2020 ◽  
Vol 15 ◽  
pp. 155892502098356
Author(s):  
Fuxing Chen ◽  
Hong Hu
Keyword(s):  
Nonlinear Vibration ◽  
Harmonic Balance Method ◽  
Harmonic Excitation ◽  
Polyurethane Foams ◽  
Excitation Level ◽  
Harmonic Amplitude ◽  
Damping Force ◽  
Spacer Fabric ◽  
Fabric System ◽  
Quadratic Stiffness

Knitted spacer fabrics can be an alternative material to typical rubber sponges and polyurethane foams for the protection of the human body from vibration exposure, such as automotive seat cushions and anti-vibration gloves. To provide a theoretical basis for the understanding of the nonlinear vibration behavior of the mass-spacer fabric system under harmonic excitation, experimental, analytical and numerical methods are used. Different from a linear mass-spring-damper vibration model, this study builds a phenomenological model with the asymmetric elastic force and the fractional derivative damping force to describe the periodic solution of the mass-spacer fabric system under harmonic excitation. Mathematical expression of the harmonic amplitude versus frequency response curve (FRC) is obtained using the harmonic balance method (HBM) to solve the equation of motion of the system. Parameter values in the model are estimated by performing curve fit between the modeled FRC and the experimental data of acceleration transmissibility. Theoretical analysis concerning the influence of varying excitation level on the FRCs is carried out, showing that nonlinear softening resonance turns into nonlinear hardening resonance with the increase of excitation level, due to the quadratic stiffness term and the cubic stiffness term in the model, respectively. The quadratic stiffness term also results in biased vibration response and causes an even order harmonic distortion. Besides, the increase of excitation level also results in elevated peak transmissibility at resonance.

scholarly journals Frequency Response Characteristic (FRC) Curve and Fast Frequency Response Assessment in High Renewable Power Systems

2020 ◽  
Author(s):  
Shutang You
Keyword(s):  
Power Systems ◽  
Frequency Response ◽  
Real Time ◽  
Response Assessment ◽  
Response Characteristic ◽  
Assessment Method ◽  
Frequency Response Characteristic ◽  
Dynamic Simulations ◽  
Renewable Power ◽  
Response Performance

This letter introduces a frequency response characteristic (FRC) curve and its application in high renewable power systems. In addition, the letter presents a method for fast frequency response assessment and frequency nadir prediction without performing dynamic simulations using detailed models. The proposed FRC curve and fast frequency response assessment method are useful for operators to understand frequency response performance of high renewable systems in real time.

scholarly journals Nonlinear Vibration Analysis of Damaged Microplate considering Size Effect

2020 ◽  
Vol 2020 ◽  
pp. 1-13
Author(s):  
Jihai Yuan ◽  
Xiangmin Zhang ◽  
Changping Chen
Keyword(s):  
Size Effect ◽  
Frequency Response ◽  
Nonlinear Vibration ◽  
Vibration Analysis ◽  
Couple Stress Theory ◽  
Harmonic Balance Method ◽  
Damage Effect ◽  
Physical Parameters ◽  
Response Curves ◽  
Electrically Actuated

Since microplates are extensively used in MEMS devices such as microbumps, micromirrors, and microphones, this work aims to study nonlinear vibration of an electrically actuated microplate whose four edges are clamped. Based on the modified couple stress theory (MCST) and strain equivalent assumption, size effect and damage are taken into consideration in the present model. The dynamic governing partial differential equations of the microplate system were obtained using Hamilton’s principle and solved using the harmonic balance method after they are transformed into ordinary differential equation with regard to time. Size effect and damage effect on nonlinear free vibration of the microplate under DC voltage are discussed using frequency-response curve. In the forced vibration analysis, the frequency-response curves were also employed for the purpose of highlighting the influence of different physical parameters such as external excitation, damping coefficient, material length scale parameter, and damage variable when the system is under AC voltage. The results presented in this study may be helpful and useful for the dynamic stability of a electrically actuated microplate system.

Design and Analysis of Compound Multilayer Metamaterial Filter in THz Region

2017 ◽  
Vol 872 ◽  
pp. 293-299 ◽  
Author(s):  
Wu Pan ◽  
Jun Zhang ◽  
Xuan Yu ◽  
Wei Zeng
Keyword(s):  
Frequency Response ◽  
Incident Angle ◽  
Metal Layer ◽  
Near Field ◽  
Response Characteristic ◽  
Center Frequency ◽  
Pass Band ◽  
Frequency Response Characteristic ◽  
Two Factors ◽  
Metal Layers

A periodic microstructure with dielectric and metal layers is proposed to obtain a bandpass filter. The multilayer microstructure is compounded of ring cross slot and cross slot. The center frequency of the filter is 0.338THz with a 3dB bandwidth of 75.62GHz. The maximum insertion loss in the pass band reaches 0.60dB. The bandedge transitions of the rejection bands are 232dB/THz and 176dB/THz, respectively. Furthermore, the physical mechanism of near field distribution and the influence of two factors (the number of metal layer and dielectric layer) on the passband have been studied. Meanwhile, the frequency response is analyzed for different incident angles and polarizations. The frequency response characteristic is insensitive to the polarization, and a good performance for incident angle of the transmission is obtained. It can be applied to THz atmospheric communication system.

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