dc.contributor.author |
Blekhman, II |
en |
dc.contributor.author |
Sorokin, Vladislav |
en |
dc.coverage.spatial |
Frankfurt. Germany |
en |
dc.date.accessioned |
2017-08-01T03:06:38Z |
en |
dc.date.issued |
2016 |
en |
dc.identifier.citation |
IUTAM Symposium Analytical Methods in Nonlinear Dynamics, Frankfurt. Germany, 06 Jul 2015 - 09 Jul 2015. Procedia IUTAM. Elsevier. 19: 75-82. 2016 |
en |
dc.identifier.issn |
2210-9838 |
en |
dc.identifier.uri |
http://hdl.handle.net/2292/34657 |
en |
dc.description.abstract |
A general approach to study oscillating action on nonlinear dynamical systems is developed. It implies a transition from initial governing equations of motion to much more simple equations describing only the main slow component of motions (the vibro-transformed dynamics equations). The approach is named as the Oscillatory Strobodynamics, since motions are perceived as under a stroboscopic light. The vibro-transformed dynamics equations comprise terms that represent the averaged effect of the oscillating action. The method of direct separation of motions (MDSM) appears to be an efficient and simple tool to derive these equations. A modification of the method applicable to study problems that do not imply restrictions on the spectrum of excitation frequencies is proposed. It allows also to abandon other restrictions usually introduced when employing the classical asymptotic methods, e.g. the requirement for the involved nonlinearities to be weak. Several relevant examples from Mechanics, Physics, Chemistry, and Biophysics are considered by means of the conventional MDSM and, in more details, by the modified MDSM, illustrating the efficiency the methods. |
en |
dc.publisher |
Elsevier |
en |
dc.relation.ispartof |
IUTAM Symposium Analytical Methods in Nonlinear Dynamics |
en |
dc.relation.ispartofseries |
Procedia IUTAM |
en |
dc.rights |
Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. Details obtained from http://www.sherpa.ac.uk/romeo/issn/2210-9838/ |
en |
dc.rights.uri |
https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm |
en |
dc.rights.uri |
https://creativecommons.org/licenses/by-nc-nd/4.0/ |
en |
dc.title |
Extension of the Method of Direct Separation of Motions for Problems of Oscillating Action on Dynamical Systems |
en |
dc.type |
Conference Item |
en |
dc.identifier.doi |
10.1016/j.piutam.2016.03.011 |
en |
pubs.begin-page |
75 |
en |
pubs.volume |
19 |
en |
dc.description.version |
VoR - Version of Record |
en |
dc.rights.holder |
Copyright: The authors |
en |
pubs.end-page |
82 |
en |
pubs.finish-date |
2015-07-09 |
en |
pubs.publication-status |
Published |
en |
pubs.start-date |
2015-07-06 |
en |
dc.rights.accessrights |
http://purl.org/eprint/accessRights/OpenAccess |
en |
pubs.subtype |
Proceedings |
en |
pubs.elements-id |
625632 |
en |
pubs.org-id |
Engineering |
en |
pubs.org-id |
Mechanical Engineering |
en |
pubs.record-created-at-source-date |
2017-08-01 |
en |