Topographic mask modeling with reduced basis finite element method

2013 ◽  
Author(s):  
Jacek K. Tyminski ◽  
Jan Pomplun ◽  
Lin Zschiedrich ◽  
Donis Flagello ◽  
Tomiyuki Matsuyama
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Reduced Basis ◽  
Element Method

A Unified Development of Basis Reduction Methods for Rotor Blades

2001 ◽  
Author(s):  
Gene C. Ruzicka ◽  
Dewey H. Hodges
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Rotor Blade ◽  
Mixed Finite Element ◽  
Mixed Finite Element Method ◽  
Rotor Blades ◽  
Reduced Basis ◽  
Axial Elongation ◽  
Elongation Method ◽  
Element Method

Abstract The axial foreshortening effect plays a key role in rotor blade dynamics, but approximating it accurately in reduced basis models has long posed a difficult problem for analysts. Recently, though, several methods have been shown to be effective in obtaining accurate, reduced basis models for rotor blades. These methods are the axial elongation method, the mixed finite element method, and the nonlinear normal mode method. The main objective of this paper is to demonstrate the close relationships among these methods, which are seemingly disparate at first glance. First, the difficulties inherent in obtaining reduced basis models of rotor blades are illustrated by examining the modal reduction accuracy of several blade analysis formulations. It is shown that classical, displacement-based finite elements are ill-suited for rotor blade analysis because they cannot accurately represent the axial strain in modal space, and that this problem may be solved by employing the axial force as a variable in the analysis. It is shown that the mixed finite element method is a convenient means for accomplishing this, and the derivation of a mixed finite element for rotor blade analysis is outlined. A shortcoming of the mixed finite element method is that it increases the number of variables in the analysis. It is demonstrated that this problem may be rectified by solving for the axial displacements in terms of the axial forces and the bending displacements. Effectively, this procedure constitutes a generalization of the widely used axial elongation method to blades of arbitrary topology. The procedure is developed first for a single element, and then extended to an arbitrary assemblage of elements of arbitrary type. Finally, it is shown that the generalized axial elongation method is essentially an approximate solution for an invariant manifold that can be used as the basis for a nonlinear normal mode.

scholarly journals An Enhanced Reduced Basis Method for Wideband Finite Element Method Simulations

IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 60877-60884 ◽  
Author(s):  
Damian Szypulski ◽  
Grzegorz Fotyga ◽  
Michal Mrozowski
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Reduced Basis Method ◽  
Reduced Basis ◽  
Basis Method ◽  
Element Method

Simulation of tuning graphene plasmonic behaviors by ferroelectric domains for self-driven infrared photodetector applications

Nanoscale ◽  
2019 ◽  
Vol 11 (43) ◽  
pp. 20868-20875 ◽  
Author(s):  
Junxiong Guo ◽  
Yu Liu ◽  
Yuan Lin ◽  
Yu Tian ◽  
Jinxing Zhang ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Interfacial Effect ◽  
Infrared Photodetector ◽  
The Finite Element Method ◽  
Ferroelectric Domains ◽  
Element Method

We propose a graphene plasmonic infrared photodetector tuned by ferroelectric domains and investigate the interfacial effect using the finite element method.

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