Vibration analysis of an elastically restrained microcantilever beam under electrostatic loading using wavelet‐based finite element method

Bashmal, Salem; Oke, Wasiu Adeyemi; Khulief, Y. A.

doi:10.1049/mnl.2014.0306

Cited by 4 publications

(2 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In Pallay and Towfighian's literature [29], a MEMS-parametric resonator was introduced, which used nonideal supports and electrostatic edge fields to achieve an innovative design of energy-efficient resonators. Bashma et al [36] used the finite element method based on wavelet transform to obtain the influence of nonideal support and edge effect on static attraction voltage and first-order natural frequency of the microcantilever beam. Chuang et al [37] obtained an approximate analytical solution to the pull-in voltage of a microcurled cantilever beam considering the nonideal boundary and edge effect.…”

Section: Introductionmentioning

confidence: 99%

Mechanical Behaviors of Electrostatic Microbeams with Nonideal Supports

Chang

Zhang

Wang

et al. 2020

Shock and Vibration

View full text Add to dashboard Cite

Deviation of the actual system from the ideal supporting conditions caused by micromachining errors and manufacturing defects or the requirement of innovative design and optimization of microelectromechanical systems (MEMS) make the nonideal boundary in the micro-/nanoresonator system receive wide attention. In this paper, we consider the neutral plane tension, fringing field, and nonideal boundary factors to establish a continuum model of electrostatically driven microbeam resonators. The convergent static solution with nine-order Galerkin decomposition is calculated. Then, based on the static solution, a 1-DOF dynamic equation of up to the fifth-order of the dynamic displacement using a Taylor expansion is derived. The method of multiple scales is used to study the effect of spring stiffness coefficients on the primary frequency response characteristics and hardening-softening conversion phenomena in four cases. The various law of the system’s static and dynamic performances with the spring stiffness coefficients is obtained. The conditions for judging the hardening-softening transition are derived. So, adjusting the support stiffness values can be a measure of optimizing the resonator performance.

show abstract

Section: Introductionmentioning

confidence: 99%

Mechanical Behaviors of Electrostatic Microbeams with Nonideal Supports

Chang

Zhang

Wang

et al. 2020

Shock and Vibration

View full text Add to dashboard Cite

show abstract

“…They could be designed as sensing structures where the variation in capacitance represents different external physical parameters; examples include humidity sensors [1], vibration sensors [2], strain sensors [3], pressure sensors [4], gyroscopes [5] and accelerometers [6]. On the other hand, electrostatic actuators also include time‐variant capacitors, which are the key components in many applications such as resonators [7, 8], micro mirrors [8], series switches [9], compliant structures [10] and RF devices [11, 12].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear circuit analysis technique for microelectromechanical systems with a time‐variant capacitor and an AC power source

Dean

Flowers

2015

Micro & Nano Letters

View full text Add to dashboard Cite

Microelectromechanical systems (MEMS) utilise time-variant capacitors as transducers in many applications. However, this kind of component can introduce harmonics and disturbances into the circuit with an AC power source, which is difficult to evaluate through closed-form solutions. This Letter proposes an iterative solution to analyse the dynamics of MEMS devices which contain a time-variant capacitor and an AC source. First, the expressions of the time-variant capacitor, AC source and their derivatives with respect to time are determined. Then, an initial solution that is sufficiently close to the actual solution is determined using linear circuit analysis. On the basis of the previous steps and the principles of the iterative method, an approximated solution combining the initial solution and its iterativelyderived higher-order terms is reached. Adding additional higher-order terms can improve the accuracy of the solution. A case study considering a MEMS device which has an AC power source and sinusoidal motion was performed using MATLAB Simulink. The simulation study further demonstrated that: (i) this iterative solution can effectively analyse the dynamics of MEMS devices with a timevariant capacitor and an AC power source; and (ii) computing additional higher-order terms derived from the initial solution can further improve the solution's accuracy.

show abstract

B-Spline Wavelet-Based Finite Element Vibration Analysis of Composite Pipes with Internal Surface Defects of Different Geometries

Oke

Khulief

2017

Int. J. Str. Stab. Dyn.

View full text Add to dashboard Cite

The vibration analysis of composite pipes with internal wall defects due to erosion-induced surface degradation is investigated. The surface defects are treated as discontinuities. The geometry of the discontinuity is permitted to vary within the cross-section both in the angular and radial directions, and to occupy any length of the pipe span. A B-spline wavelet-based finite element method (BWFEM) that takes advantage of the localization properties of wavelets is invoked; thus utilizing its effectiveness in modeling of crack problems and local damages. The composite pipe was treated as beam elements that obey the Euler–Bernoulli beam theory. Unlike the conventional finite element method (FEM), the developed BWFEM uses fewer elements without compromising the accuracy. Numerical simulations are performed to demonstrate the accuracy and efficiency of the developed element through comparison with available results in the literature, as well as results obtained using ANSYS. Some benchmark solutions are obtained for the composite pipe with internal surface defects of different geometries.

show abstract

Vibration analysis of an elastically restrained microcantilever beam under electrostatic loading using wavelet‐based finite element method

Cited by 4 publications

References 31 publications

Mechanical Behaviors of Electrostatic Microbeams with Nonideal Supports

Mechanical Behaviors of Electrostatic Microbeams with Nonideal Supports

Nonlinear circuit analysis technique for microelectromechanical systems with a time‐variant capacitor and an AC power source

B-Spline Wavelet-Based Finite Element Vibration Analysis of Composite Pipes with Internal Surface Defects of Different Geometries

Contact Info

Product

Resources

About