Numerical Study for Shape Oscillation of Free Viscoelastic Drop Using the Arbitrary Lagrangian-Eulerian Method

2015 ◽  
Vol 789-790 ◽  
pp. 316-323
Author(s):  
Zhong Liu ◽  
Shan Wen Tan ◽  
G. Brenn
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Linear Theory ◽  
Small Amplitude ◽  
Free Oscillation ◽  
Numerical Study ◽  
Liquid Droplet ◽  
Linear Method ◽  
The Finite Element Method ◽  
Element Method

The free oscillation of liquid droplet is one of the classical questions in science research, liquid drops play important role in a lot of engineering applications. Theory study of droplet oscillation mainly based on the linear method, this method is only adapted to the small-amplitude oscillatory motion of drops. Except the linear method used in this study, numerical method have been successfully applied in simulation of the free oscillation of liquid droplet. In this paper, the finite element method is used to investigate numerically the influence of viscoelasticity on the small-amplitude oscillation of drop of polymer solutions. A spatial discretization is accomplished by the finite element method, the time descretization is carried by the Crank-Nicolson method, and the arbitrary Lagangian-Eulerian (ALE) method is used to track the change of the interface. Numerical results are compared with the ones of linear theory. The behaviors of oscillation are found to depend on the viscosity and the stress relaxation time of viscoelastic fluid, the results of numerical simulation and linear theory are identical.

Analysis of Aerodynamic Journal Bearings With Small Number of Herringbone Grooves by Finite Element Method

1994 ◽  
Vol 116 (4) ◽  
pp. 698-704 ◽  
Author(s):  
D. Bonneau ◽  
J. Absi
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Study ◽  
Load Capacity ◽  
Journal Bearings ◽  
The Finite Element Method ◽  
Bearing Number ◽  
Comparison Of The Results ◽  
Herringbone Grooves ◽  
Element Method

A numerical study of gas herringbone grooved journal bearings is presented for small number of grooves. The compressible Reynolds equation is solved by use of the Finite Element Method. The nonlinearity of the discretized equations is treated with the Newton-Raphson procedure. A comparison of the results for a smooth bearing with previously published results is made and the domain of validity of the Narrow Groove Theory is analyzed. Load capacity, attitude angle, and stiffness coefficients are given for various configurations: groove angle and thickness of grooves, bearing number, and that for both smooth and grooved member rotating.

An analytical approach to evaluate effective coefficients of 1–3 piezoelectric composites

2021 ◽  
Author(s):  
Sanjeev Kumar Singh ◽  
Saroja Kanta Panda
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Volume Fraction ◽  
Numerical Study ◽  
The Finite Element Method ◽  
Effective Coefficients ◽  
Square Packing ◽  
Packing Arrangement ◽  
Piezoelectric Fiber ◽  
Element Method

In this paper, a micromechanics method is developed to evaluate effective coefficients of piezoelectric fiber-reinforced composites. An exact solution is derived for effective elastic, piezoelectric and dielectric coefficients of such piezocomposites subjected to the applied load in the direction transverse to the fiber orientation. Simultaneously, based on finite element method, a numerical study is performed on a representative volume element of such piezo composite containing fiber in square packing arrangement. The finite element method provides a numerical solution to evaluate effective elastic, piezoelectric and dielectric coefficients for discrete volume fraction of fiber, the range being 0.1–0.6 for this study. The results are interpolated to understand the overall behavior of such piezocomposites. The results obtained from the micromechanics method and the finite element method are compared with the results obtained from other models based on strength of materials method given in the literature. It is observed that the method developed in this study provides better results for effective coefficients susceptible to fiber packing arrangements.

scholarly journals The oscillating and electrostatic characteristics of microelectromechanical system cantilever structure analyzed based on the air gap domain

2018 ◽  
Vol 37 (4) ◽  
pp. 725-747 ◽  
Author(s):  
Jianlian Cheng ◽  
Kai Li ◽  
Zhuang Zhang ◽  
Yufeng Gu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Study ◽  
Damping Ratio ◽  
Electrostatic Actuation ◽  
Compact Model ◽  
Squeeze Film ◽  
The Finite Element Method ◽  
Cantilever Structure ◽  
Element Method

Extensive modeling and simulation of the damping phenomenon, electrostatic actuation, and structural vibration analysis are performed. The governing partial differential equations of cantilever plate are obtained, and the resonant frequencies are calculated from the equilibrium equations. The damping forces of squeeze film are analyzed by obtaining the damping ratio and spring constant. Electrostatic actuation is applied to oscillate the cantilever to ensure that the displacement of the plate is above the thermal noise floor. Electrostatic actuating forces, displacement, and capacitance are calculated both numerically and analytically from the Poisson’s equations. Squeeze film damping effects naturally occur if structures are subjected to loading situations such that a very thin film of fluid is trapped within structural joints, interfaces, etc. An accurate estimate of squeeze film effects is important to predict the performance of dynamic structures. Squeeze film effects are simulated by the finite element method. The accuracy of the compact model is studied by comparing its response to the numerical results calculated with the finite element method. The agreement is very good in a wide frequency band. The numerical study and the compact model are directly applicable in predicting the damping force and damping factors of squeeze film.

Numerical study of hydrogmagnetic stability using the finite-element method

1973 ◽  
Vol 13 (5) ◽  
pp. 764-766 ◽  
Author(s):  
T.J.M. Boyd ◽  
G.A. Gardner ◽  
L.R.T. Gardner
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Study ◽  
The Finite Element Method ◽  
Element Method
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