Finite-element time-domain solver for axisymmetric devices based on discrete exterior calculus and transformation optics

2017 ◽  
Author(s):  
D.-Y. Na ◽  
F. L. Teixeira ◽  
B.-H. V. Borges
Keyword(s):  
Finite Element ◽  
Time Domain ◽  
Transformation Optics ◽  
Discrete Exterior Calculus ◽  
Exterior Calculus

Mimetic Interpolation of Vector Fields on Arakawa C/D Grids

2019 ◽  
Vol 147 (1) ◽  
pp. 3-16
Author(s):  
Alexander Pletzer ◽  
Wolfgang Hayek
Keyword(s):  
Finite Element ◽  
Vector Fields ◽  
Total Flux ◽  
Machine Accuracy ◽  
Weighted Interpolation ◽  
Discretization Methods ◽  
Finite Element Exterior Calculus ◽  
Interpolation Methods ◽  
Discrete Exterior Calculus ◽  
Exterior Calculus

Interpolation methods for vector fields whose components are staggered on horizontal Arakawa C or D grids are presented. The interpolation methods extend bilinear and area-weighted interpolation, which are widely used in Earth sciences, to work with vector fields (essentially discretized versions of differential 1-forms and 2-forms). The interpolation methods, which conserve the total flux and enforce Stokes’ theorem to near-machine accuracy, are a natural complement to discrete exterior calculus and finite element exterior calculus discretization methods.

Design and Analysis of Viscoelastic Seismic Dampers

2002 ◽  
Author(s):  
N. Shimizu ◽  
H. Nasuno ◽  
T. Yazaki ◽  
K. Sunakoda
Keyword(s):  
Finite Element ◽  
Constitutive Relation ◽  
Time Domain ◽  
Dynamic Properties ◽  
Design Procedure ◽  
Fe Analysis ◽  
Damping Capacity ◽  
Element Formulation ◽  
Element Analysis ◽  
Equivalent Viscous Damping

This paper describes a methodology of design and analysis of viscoelastic seismic dampers by means of the time domain finite element analysis. The viscoelastic constitutive relation of material incorporating with the fractional calculus has been derived and the finite element formulation based on the constitutive relation has been developed to analyze the dynamic property of seismic damper. A time domain computer program was developed by using the formulation. Dynamic properties of hysteresis loop, damping capacity, equivalent viscous damping coefficient, and equivalent spring constant are calculated and compared with the experimental results. Remarkable correlation between the FE analysis and the experiment is gained, and consequently the design procedure with the help of the FE analysis has been established.

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