Frequency‐domain analysis of time‐integration methods for semidiscrete finite element equations—part I: Parabolic problems

2001 ◽  
Vol 51 (3) ◽  
pp. 333-350 ◽  
Author(s):  
Ata Mu??an ◽  
Gregory M. Hulbert
Keyword(s):  
Finite Element ◽  
Frequency Domain ◽  
Time Integration ◽  
Domain Analysis ◽  
Frequency Domain Analysis ◽  
Parabolic Problems ◽  
Integration Methods ◽  
Time Integration Methods

Modelling of Seabed Interaction in Frequency Domain Analysis of Mooring Cables

2003 ◽  
Author(s):  
Paul P. A. Ong ◽  
Sergio Pellegrino
Keyword(s):  
Frequency Domain ◽  
Equations Of Motion ◽  
Time Integration ◽  
Domain Analysis ◽  
Frequency Domain Analysis ◽  
Wave Loading ◽  
Computational Overhead ◽  
Spring System ◽  
Seabed Interaction ◽  
Domain Integration

Mooring cables under wave loading interact dynamically with the seabed; this interaction is nonlinear and can be modelled in full only by performing lengthy time integration of the equations of motion. However, time domain integration is far too computationally expensive to be carried out for all load cases. A new method of modelling the interaction between a cable and the seabed in the frequency domain, but without considering frictional effects and impact, is therefore proposed. The section of cable interacting with the seabed is truncated and replaced with a system of coupled linear springs, with stiffnesses linearised from static catenary equations. These springs would model the behaviour of the truncated cable and hence the time-varying boundary condition at the touchdown. The entire cable-spring system is then analysed in the frequency domain with a centred finite difference scheme. The proposed method has shown to increase the accuracy of frequency domain analysis in certain cases with affordable computational overhead.

Finite-Element Modeling and Frequency-Domain Analysis of Liquid-Propulsion Launch Vehicle

AIAA Journal ◽  
2015 ◽  
Vol 53 (11) ◽  
pp. 3297-3304 ◽  
Author(s):  
Yu Hao ◽  
Guo-an Tang ◽  
Deyuan Xu ◽  
Qiongliang Yang
Keyword(s):  
Finite Element ◽  
Finite Element Modeling ◽  
Frequency Domain ◽  
Domain Analysis ◽  
Launch Vehicle ◽  
Frequency Domain Analysis ◽  
Element Modeling
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