Vibrations of a Beam Moving Over Supports with Clearance
The transverse vibration of a beam moving over two supports with clearance is analyzed using Euler beam theory. The equations of motion are formulated based on a Lagrangian approach and the assumed mode method. The supports with clearance are modeled as frictionless supports with piecewise-linear st...
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| Format: | Article |
| Language: | English |
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Wiley
1994-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-1994-1605 |
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| _version_ | 1849686382322122752 |
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| author | H.P. Lee |
| author_facet | H.P. Lee |
| author_sort | H.P. Lee |
| collection | DOAJ |
| description | The transverse vibration of a beam moving over two supports with clearance is analyzed using Euler beam theory. The equations of motion are formulated based on a Lagrangian approach and the assumed mode method. The supports with clearance are modeled as frictionless supports with piecewise-linear stiffness. A feature of the present formulation is that its complexity does not increase with increased number of supports. Results of numerical simulations are presented for various prescribed motions of the beam. The effect of support clearance on the stability of the beam is investigated. |
| format | Article |
| id | doaj-art-c5beac4e11f34eda86d97b7baa826f1f |
| institution | DOAJ |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 1994-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-c5beac4e11f34eda86d97b7baa826f1f2025-08-20T03:22:42ZengWileyShock and Vibration1070-96221875-92031994-01-011654955710.3233/SAV-1994-1605Vibrations of a Beam Moving Over Supports with ClearanceH.P. Lee0Department of Mechanical & Production Engineering, National University of Singapore, 10 Kent Ridge Crescent, 0511, SingaporeThe transverse vibration of a beam moving over two supports with clearance is analyzed using Euler beam theory. The equations of motion are formulated based on a Lagrangian approach and the assumed mode method. The supports with clearance are modeled as frictionless supports with piecewise-linear stiffness. A feature of the present formulation is that its complexity does not increase with increased number of supports. Results of numerical simulations are presented for various prescribed motions of the beam. The effect of support clearance on the stability of the beam is investigated.http://dx.doi.org/10.3233/SAV-1994-1605 |
| spellingShingle | H.P. Lee Vibrations of a Beam Moving Over Supports with Clearance Shock and Vibration |
| title | Vibrations of a Beam Moving Over Supports with Clearance |
| title_full | Vibrations of a Beam Moving Over Supports with Clearance |
| title_fullStr | Vibrations of a Beam Moving Over Supports with Clearance |
| title_full_unstemmed | Vibrations of a Beam Moving Over Supports with Clearance |
| title_short | Vibrations of a Beam Moving Over Supports with Clearance |
| title_sort | vibrations of a beam moving over supports with clearance |
| url | http://dx.doi.org/10.3233/SAV-1994-1605 |
| work_keys_str_mv | AT hplee vibrationsofabeammovingoversupportswithclearance |