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 130
- Downloads 0
Validation problems in computational fluid mechanics
Recent developments in Computational Fluid Dynamics (CFD) increased interest in quantifying quality of the numerical models. One of the necessary steps is the so-called code validation procedure, an assessment of a numer...
Numerical investigations of the convergence of a remeshing algorithm on an example of subsonic flow
The main goal of the paper is to analyze convergence of a remeshing scheme evaluated by the author [8] on the example of a potential flow around a profile. It is assumed that flow is stationary, irrotational, inviscid an...
Mesh-free methods and time integrations for transient heat conduction
The paper deals with transient heat conduction in functionally gradient materials. The spatial variation of the temperature field is approximated by using alternatively two various mesh free approximations, while the tim...
Application of sensitivity analysis in microscale heat transfer
In the paper, the thin metal film subjected to the ultrashort laser pulse has been analyzed. The heat conduction in the domain considered has been described by two-temperature model consisting of the system of two couple...
Transient heat conduction by different versions of the Method of Fundamental Solutions - a comparison study. (Received in the final form September 14, 2010)
The computational accuracy of three versions of the method of fundamental solutions (MFS) is compared. The first version of MFS is based on the Laplace transformation of the governing differential equations and of the bo...