Out-of-plane vibrations of curved nonprismatic beam under a moving load
The forced vibrations of a curved-in-plane nonprismatic beam with a variable cross section and any curvature, generated by a load moving at a variable velocity are analyzed. Approximation with Chebyshev series and a generalized eigentransformation were used to solve the system of the partial differ...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Vilnius Gediminas Technical University
2012-11-01
|
| Series: | Journal of Civil Engineering and Management |
| Subjects: | |
| Online Access: | http://journals.vgtu.lt/index.php/JCEM/article/view/4525 |
| id |
doaj-b381b64443344501b45c8a2cfca92dc7 |
|---|---|
| record_format |
Article |
| spelling |
doaj-b381b64443344501b45c8a2cfca92dc72021-07-02T04:18:09ZengVilnius Gediminas Technical UniversityJournal of Civil Engineering and Management1392-37301822-36052012-11-0118610.3846/13923730.2012.720937Out-of-plane vibrations of curved nonprismatic beam under a moving loadMałgorzata Meissner0Piotr Ruta1Wrocław University of Technology, Wybrzeze Wyspianskiego 27, 50-370 Wrocław, PolandWrocław University of Technology, Wybrzeze Wyspianskiego 27, 50-370 Wrocław, Poland The forced vibrations of a curved-in-plane nonprismatic beam with a variable cross section and any curvature, generated by a load moving at a variable velocity are analyzed. Approximation with Chebyshev series and a generalized eigentransformation were used to solve the system of the partial differential equations describing the considered problem. The derived equations in their final form enable one to determine displacement and rotation functions for any beam. In order to verify the derived formulas the eigenproblem solution (used in the eigentransformation method) was compared with the one obtained by the finite element method. First published online: 12 Oct 2012 http://journals.vgtu.lt/index.php/JCEM/article/view/4525curved beamnonprismatic beamout-of-plane vibrationsmoving load |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Małgorzata Meissner Piotr Ruta |
| spellingShingle |
Małgorzata Meissner Piotr Ruta Out-of-plane vibrations of curved nonprismatic beam under a moving load Journal of Civil Engineering and Management curved beam nonprismatic beam out-of-plane vibrations moving load |
| author_facet |
Małgorzata Meissner Piotr Ruta |
| author_sort |
Małgorzata Meissner |
| title |
Out-of-plane vibrations of curved nonprismatic beam under a moving load |
| title_short |
Out-of-plane vibrations of curved nonprismatic beam under a moving load |
| title_full |
Out-of-plane vibrations of curved nonprismatic beam under a moving load |
| title_fullStr |
Out-of-plane vibrations of curved nonprismatic beam under a moving load |
| title_full_unstemmed |
Out-of-plane vibrations of curved nonprismatic beam under a moving load |
| title_sort |
out-of-plane vibrations of curved nonprismatic beam under a moving load |
| publisher |
Vilnius Gediminas Technical University |
| series |
Journal of Civil Engineering and Management |
| issn |
1392-3730 1822-3605 |
| publishDate |
2012-11-01 |
| description |
The forced vibrations of a curved-in-plane nonprismatic beam with a variable cross section and any curvature, generated by a load moving at a variable velocity are analyzed. Approximation with Chebyshev series and a generalized eigentransformation were used to solve the system of the partial differential equations describing the considered problem. The derived equations in their final form enable one to determine displacement and rotation functions for any beam. In order to verify the derived formulas the eigenproblem solution (used in the eigentransformation method) was compared with the one obtained by the finite element method.
First published online: 12 Oct 2012
|
| topic |
curved beam nonprismatic beam out-of-plane vibrations moving load |
| url |
http://journals.vgtu.lt/index.php/JCEM/article/view/4525 |
| work_keys_str_mv |
AT małgorzatameissner outofplanevibrationsofcurvednonprismaticbeamunderamovingload AT piotrruta outofplanevibrationsofcurvednonprismaticbeamunderamovingload |
| _version_ |
1721340382031118336 |