Isogeometric analysis of free vibration of simple shaped elastic samples

Radek Kolman*, Sergey Sorokin, Bohumír Bastl, Ján Kopačka, Jiří Plešek

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

12 Citations (Scopus)

Abstract

The paper is devoted to numerical solution of free vibration problems for elastic bodies of canonical shapes by means of a spline based finite element method (FEM), called Isogeometric Analysis (IGA). It has an advantage that the geometry is described exactly and the approximation of unknown quantities is smooth due to higher-order continuous shape functions. IGA exhibits very convenient convergence rates and small frequency errors for higher frequency spectrum. In this paper, the IGA strategy is used in computation of eigen-frequencies of a block and cylinder as benchmark tests. Results are compared with the standard FEM, the Rayleigh-Ritz method, and available experimental data. The main attention is paid to the comparison of convergence rate, accuracy, and time-consumption of IGA against FEM and also to show a spline order and parameterization effects. In addition, the potential of IGA in Resonant Ultrasound Spectroscopy measurements of elastic properties of general anisotropy solids is discussed.

Original languageEnglish
JournalJournal of the Acoustical Society of America
Volume137
Issue number4
Pages (from-to)2089-2100
Number of pages12
ISSN0001-4966
DOIs
Publication statusPublished - 1 Apr 2015

Fingerprint

Dive into the research topics of 'Isogeometric analysis of free vibration of simple shaped elastic samples'. Together they form a unique fingerprint.

Cite this