Non-linear normal modes in dynamics-continuous systems
Result description
The paper presents a continuation of an effort started last year, when the authors briefly informed about the Non-linear normal modes (NNM) concerning the version dealing with discrete systems. Although many features of the continuous formulation from the mathematical viewpoint are similar to the discrete case, a couple of specifics should be highlighted from the viewpoint of a real applicability of this tool to investigate particular dynamic systems. Three approaches are mentioned in the paper and the Galerkin-Petrov based procedure is outlined in more details. As a particular subject the cantilever prismatic beam is discussed. Non-linear normal modes for several amplitudes are shown to demonstrate the dependence of their shapes on the actual effective amplitude. Comparison with adequate linear counterpart is done.
Keywords
nonlinear dynamic systemsnon-linear normal modesdiscretizationmulti-scale method
The result's identifiers
Result code in IS VaVaI
Result on the web
—
DOI - Digital Object Identifier
—
Alternative languages
Result language
angličtina
Original language name
Non-linear normal modes in dynamics-continuous systems
Original language description
The paper presents a continuation of an effort started last year, when the authors briefly informed about the Non-linear normal modes (NNM) concerning the version dealing with discrete systems. Although many features of the continuous formulation from the mathematical viewpoint are similar to the discrete case, a couple of specifics should be highlighted from the viewpoint of a real applicability of this tool to investigate particular dynamic systems. Three approaches are mentioned in the paper and the Galerkin-Petrov based procedure is outlined in more details. As a particular subject the cantilever prismatic beam is discussed. Non-linear normal modes for several amplitudes are shown to demonstrate the dependence of their shapes on the actual effective amplitude. Comparison with adequate linear counterpart is done.
Czech name
—
Czech description
—
Classification
Type
D - Article in proceedings
CEP classification
JM - Structural engineering
OECD FORD branch
—
Result continuities
Project
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Engineering Mechanics 2016
ISBN
978-80-87012-59-8
ISSN
1805-8248
e-ISSN
—
Number of pages
4
Pages from-to
414-417
Publisher name
Institute of Thermomechanics CAS, v. v. i.
Place of publication
Prague
Event location
Svratka
Event date
May 9, 2016
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
000379986700100
Basic information
Result type
D - Article in proceedings
CEP
JM - Structural engineering
Year of implementation
2016