Numerical Modeling of a Nonlinear MEMS Membrane

2004 ◽  
Author(s):  
Owen I. Crabtree ◽  
Sinisa Dj. Mesarovic ◽  
Ismail Demir ◽  
Robert F. Richards ◽  
David F. Bahr ◽  
...  
Keyword(s):  
Residual Stress ◽  
Numerical Modeling ◽  
Numerical Model ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Empirical Data ◽  
Geometrically Nonlinear ◽  
Mems Device ◽  
The Finite Difference Method ◽  
Stress Layer

A numerical model is developed to understand the behavior of a laminated, piezoelectric, geometrically nonlinear MEMS device. The finite difference method is chosen, along with the Newmark technique to model the static and vibrational behavior. This technique is validated by comparison to empirical data. The developed model is exercised to understand and optimize the device by studying residual stress, layer thicknesses, and electrode sizes with the goal of reduction of fundamental frequency and increase of charge output.

scholarly journals Deformations of Mining Terrain Caused by the Partial Exploitation in the Aspect of Measurements and Numerical Modeling

2020 ◽  
Vol 12 (12) ◽  
pp. 5072
Author(s):  
Jan Białek ◽  
Marek Wesołowski ◽  
Ryszard Mielimąka ◽  
Paweł Sikora
Keyword(s):  
Numerical Modeling ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Coal Mine ◽  
Software Package ◽  
Mining Area ◽  
Lagrangian Analysis ◽  
Planning Stage ◽  
Geodetic Measurements ◽  
The Finite Difference Method

The article presents the results of geodetic measurements and numerical modeling of mining area deformations in the partial exploitation area of the 712/1-2 seam at the Marcel Coal Mine. An important element in this exploitation is the limitation of the length of longwalls with cavings to 130 m and 150 m, leaving an unextracted 70 m wide coal solid belt between them. Leaving the belts aimed to reduce deformations of the mining terrain, with relatively limited deposit losses. The numerical modeling of mining terrain deformations was performed using the Fast Lagrangian Analysis of Continua (FLAC) software package based on the finite difference method. The results of the geodetic measurements and computer simulations presented in the article confirm the assumption adopted during the planning stage of this exploitation about the possible significant reduction of mining terrain deformations caused by leaving the unextracted belts of coal solid between successive longwall panels.

scholarly journals Numerical Modeling of Water Table Fluctuation in Unconfined Sloping Aquifer in Response to Multiple Localized Recharge

2021 ◽  
pp. 13-23
Author(s):  
Shikha Saxena ◽  
Rajeev Kumar Bansal ◽  
Basant Singh
Keyword(s):  
Numerical Modeling ◽  
Porous Media ◽  
Numerical Model ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Water Table ◽  
Boussinesq Equation ◽  
Water Table Fluctuation ◽  
Aquifer Parameters ◽  
Sloping Aquifer

Numerical modeling for the variations of water table fluctuation in response to subsurface seepage and downwards recharge is an important aspect in the estimation of surface-groundwater interaction. In this work, a numerical model is developed for the approximation of water table variation in an unconfined sloping aquifer subjected to the multiple localized recharge and seepage from the adjacent water body. The Boussinesq equation characterizing the flow of groundwater in unconfined sloping porous media is solved numerically using Du Fort Frankel finite difference method. The application of the result is demonstrated with illustrative examples using varying aquifer parameters. The results indicated that the water table form groundwater mound beneath recharge basins due to continuous recharge.

Sign in / Sign up

Export Citation Format

Share Document