Frequency domain Bernstein-Bézier finite element solver for modelling short waves in elastodynamics

2022 ◽  
Vol 102 ◽  
pp. 115-136
Author(s):  
N. Benatia ◽  
A. El Kacimi ◽  
O. Laghrouche ◽  
M. El Alaoui Talibi ◽  
J. Trevelyan
Keyword(s):  
Finite Element ◽  
Frequency Domain ◽  
Short Waves

Research on 3D Finite-element Forward Modeling for Frequency-Domain Airborne EM Using Octree mesh

2021 ◽  
Author(s):  
X. Han ◽  
C. Yin ◽  
Y. Su ◽  
B. Zhang ◽  
Y. Liu ◽  
...  
Keyword(s):  
Finite Element ◽  
Frequency Domain ◽  
Forward Modeling ◽  
3D Finite Element ◽  
Airborne Em ◽  
Octree Mesh

scholarly journals Optimal implementation of frequency domain impedances in time domain simulations of building structures on embedded foundations

2020 ◽  
Author(s):  
Danilo S. Kusanovic ◽  
Elnaz E. Seylabi ◽  
Domniki Asimaki
Keyword(s):  
Finite Element ◽  
Frequency Domain ◽  
Time Domain ◽  
Response Spectrum ◽  
Free Field ◽  
Domain Analysis ◽  
Shallow Foundation ◽  
Rigid Base ◽  
Dimensionless Frequency ◽  
Building Structures

Soil-Structure Interaction (SSI) have been studied the last decades, and proper analysis for the linear elastic case in frequency domain has been established successfully. However, SSI is rarely considered in the seismic design of building structures. Regardless of its importance as a significant source of flexibility and energy dissipation, buildings are analyzed using a rigid base assumption, and the design is based on a response spectrum analysis, for which not only the soil, but also time are totally ignored. In a first attempt to improve and to incentivize time domain analyzes compatible with standard finite element packages for the engineering community, the state-of-practice introduces two major simplifications to transform the frequency domain analysis into a time domain analysis: (a) it assumes the frequency at which the impedance value should be read is the flexible-base frequency, and (b) it also assumes that the foundation input motion preserves the phase of the free field motion. Upon these simplifications, the following questions may arise: How does NIST recommendations perform in overall against a full finite element model? Are the embedment effects for shallow foundation not important so that the phase angle can be neglected? What is the best dimensionless frequency to estimate the soil impedance? Is it possible to make a better estimation of the dimensionless frequency to increase the NIST accuracy? In this study, we attempt to address these questions by using an inverse problem formulation.

scholarly journals A finite element frequency domain method for 2D photonic crystals

2012 ◽  
Vol 236 (16) ◽  
pp. 3956-3966 ◽  
Author(s):  
Pietro Contu ◽  
Cornelis van der Mee ◽  
Sebastiano Seatzu
Keyword(s):  
Finite Element ◽  
Photonic Crystals ◽  
Frequency Domain ◽  
Frequency Domain Method ◽  
Domain Method
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