A reproducing kernel particle method for meshless analysis of microelectromechanical systems

1999 ◽  
Vol 23 (4) ◽  
pp. 324-338 ◽  
Author(s):  
N. R. Aluru
Keyword(s):  
Reproducing Kernel ◽  
Microelectromechanical Systems ◽  
Particle Method ◽  
Reproducing Kernel Particle Method ◽  
Reproducing Kernel Particle

Analysis of Microelectromechanical Systems Using the Meshless Random Differential Quadrature Method

2009 ◽  
Vol 74 ◽  
pp. 29-32 ◽  
Author(s):  
Shantanu Mulay ◽  
Hua Li
Keyword(s):  
Reproducing Kernel ◽  
Microelectromechanical Systems ◽  
Electrostatic Force ◽  
Differential Quadrature Method ◽  
Particle Method ◽  
Differential Quadrature ◽  
Reproducing Kernel Particle Method ◽  
Mems Devices ◽  
Irregular Domain ◽  
Reproducing Kernel Particle

Several devices of microelectromechanical systems (MEMS) are analyzed in the presented work, using a novel numerical meshless method called the random differential quadrature (RDQ) method. The differential quadrature (DQ) is an effective derivative discretization technique but it requires all the field nodes to be arranged in a collinear manner with a pre-defined pattern. This limitation of the DQ method is overcome in the RDQ method using the interpolation function by the fixed reproducing kernel particle method (fixed RKPM). The RDQ method extends the applicability of the DQ method over a regular as well as an irregular domain discretized by uniform or randomly distributed field nodes. Due to the strong-form nature, RDQ method captures well the local high gradients. These features of the RDQ method enable it to efficiently solve the MEMS problems with different boundary conditions. In the presented work, several MEMS devices that are governed by the nonlinear electrostatic force are analyzed using the RDQ method, and their results are compared with the other simulation results presented in the existing literature. It is seen that the RDQ method effectively and accurately solves the MEMS devices problems.

scholarly journals Level set topology optimization with nodally integrated reproducing kernel particle method

2021 ◽  
Vol 385 ◽  
pp. 114016
Author(s):  
Andreas Neofytou ◽  
Tsung-Hui Huang ◽  
Sandilya Kambampati ◽  
Renato Picelli ◽  
Jiun-Shyan Chen ◽  
...  
Keyword(s):  
Topology Optimization ◽  
Level Set ◽  
Reproducing Kernel ◽  
Particle Method ◽  
Reproducing Kernel Particle Method ◽  
Reproducing Kernel Particle
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