Simulation of in-plane vibrations of 2D structural solids with singularities using an efficient wave based prediction technique
Journal Title: Computer Assisted Methods in Engineering and Science - Year 2012, Vol 19, Issue 2
Abstract
This paper proposes the wave based method for the steady-state dynamic analysis of the in-plane behaviour of 2D structural solids. This novel prediction technique relaxes the frequency limitations of the commonly used finite element method through an improved computational efficiency. This efficiency is obtained by selecting basis functions which satisfy the governing equations a priori, in accordance with the indirect Trefftz approach. Special attention is paid to problems in which singularities appear in the problem solution. For these problems, the conventional set of basis functions is extended with functions which can represent the singularity accurately. The capabilities of this novel method for mid-frequency applications, as compared to the standard finite element method, are demonstrated by means of two numerical examples.
Authors and Affiliations
Caroline Vanmaele, Karel Vergote, Dirk Vandepitte, Wim Desmet
Keywords
Related Articles
- EP ID EP73927
- DOI -
- Views 134
- Downloads 0
Regularization using truncated singular value decomposition for estimating the Fourier spectrum of a noised space distribution over an extended support
This paper is devoted to a theoretical and numerical study of different ways of calculating the Fourier transform of a noisy signal where the boundary conditions at the lateral boundaries of the measurement interval are...
Homogenization of composites with interfacial debonding using duality-based solver and micromechanics. (Received in the final form February 13, 2009).
One of the key aspects governing the mechanical performance of composite materials is debonding: the local separation of reinforcing constituents from matrix when the interfacial strength is exceeded. In this contributio...
Efficient Markov chain Monte Carlo sampling for electrical impedance tomography
This paper studies electrical impedance tomography (EIT) using Bayesian inference [1]. The resulting posterior distribution is sampled by Markov chain Monte Carlo (MCMC) [2]. This paper studies a toy model of EIT as the...
Modelling of concrete cover degradation caused by rebar?s corrosion- multicomponent media theory approach. (Received in the final form January 23, 2010)
This paper presents the model based on the theory of multicomponent media that allows modelling of rebar corrosion processes. The presented model extends and consolidates the dissertations that have been described in the...
Application of the Strongin-Sergeyev global optimization method in the compliance minimization of latticed shells. (Received in the final form January 18, 2010)
The aim of the present paper is to revisit some known truss optimization problems by applying the genuine Strongin and Sergeyev's algorithm of the global search [8]. By employing the space-filling Hilbert-Peanotype curve...