Comparison of 1D and 2D solutions for a beam under transverse impact
The problem of non-stationary vibration of an elastic beam caused by a transverse impact loading is studied in this work. In particular, two different approaches to the derivation of analytical solution of the problem are compared. The first one is based on the Timoshenko beam theory, the latter one...
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EDP Sciences
2018-01-01
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| Series: | MATEC Web of Conferences |
| Online Access: | https://doi.org/10.1051/matecconf/201814805005 |
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doaj-04ca57f643b94d199b1d760aa88020572021-04-02T15:32:28ZengEDP SciencesMATEC Web of Conferences2261-236X2018-01-011480500510.1051/matecconf/201814805005matecconf_icoev2018_05005Comparison of 1D and 2D solutions for a beam under transverse impactAdámek VítězslavThe problem of non-stationary vibration of an elastic beam caused by a transverse impact loading is studied in this work. In particular, two different approaches to the derivation of analytical solution of the problem are compared. The first one is based on the Timoshenko beam theory, the latter one follows the exact two-dimensional theory. Both mentioned methods are used for finding the response of an infinite homogeneous isotropic beam. The obtained analytical results are then compared and their agreement is discussed in relation to main factors, i.e. the beam geometry, the character of loading and times and points at which the beams responses are studied.https://doi.org/10.1051/matecconf/201814805005 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Adámek Vítězslav |
| spellingShingle |
Adámek Vítězslav Comparison of 1D and 2D solutions for a beam under transverse impact MATEC Web of Conferences |
| author_facet |
Adámek Vítězslav |
| author_sort |
Adámek Vítězslav |
| title |
Comparison of 1D and 2D solutions for a beam under transverse
impact |
| title_short |
Comparison of 1D and 2D solutions for a beam under transverse
impact |
| title_full |
Comparison of 1D and 2D solutions for a beam under transverse
impact |
| title_fullStr |
Comparison of 1D and 2D solutions for a beam under transverse
impact |
| title_full_unstemmed |
Comparison of 1D and 2D solutions for a beam under transverse
impact |
| title_sort |
comparison of 1d and 2d solutions for a beam under transverse
impact |
| publisher |
EDP Sciences |
| series |
MATEC Web of Conferences |
| issn |
2261-236X |
| publishDate |
2018-01-01 |
| description |
The problem of non-stationary vibration of an elastic beam caused by a transverse impact loading is studied in this work. In particular, two different approaches to the derivation of analytical solution of the problem are compared. The first one is based on the Timoshenko beam theory, the latter one follows the exact two-dimensional theory. Both mentioned methods are used for finding the response of an infinite homogeneous isotropic beam. The obtained analytical results are then compared and their agreement is discussed in relation to main factors, i.e. the beam geometry, the character of loading and times and points at which the beams responses are studied. |
| url |
https://doi.org/10.1051/matecconf/201814805005 |
| work_keys_str_mv |
AT adamekvitezslav comparisonof1dand2dsolutionsforabeamundertransverseimpact |
| _version_ |
1721559739055210496 |