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Amplification Factors in the Case of Beam Under Moving Force – Theoretical Analysis
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Zeitschriftentitel: | Archives of Civil Engineering |
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Personen und Körperschaften: | |
In: | Archives of Civil Engineering, 65, 2019, 1, S. 83-96 |
Format: | E-Article |
Sprache: | Unbestimmt |
veröffentlicht: |
Polish Academy of Sciences Chancellery
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Schlagwörter: |
author_facet |
Ataman, M. Ataman, M. |
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author |
Ataman, M. |
spellingShingle |
Ataman, M. Archives of Civil Engineering Amplification Factors in the Case of Beam Under Moving Force – Theoretical Analysis Civil and Structural Engineering |
author_sort |
ataman, m. |
spelling |
Ataman, M. 1230-2945 Polish Academy of Sciences Chancellery Civil and Structural Engineering http://dx.doi.org/10.2478/ace-2019-0006 <jats:title>Abstract</jats:title><jats:p>The impact of a moving load speed on the dynamic overload of beams, assuming that the track of the load has no unevenness, is examined. First the problem of a visco-elastic beam on a Winkler foundation subjected to a force moving at a constant speed will be solved. Using the Bubnov-Galerkin method, the deflections of the beam, and then the bending moments and shear forces will be determined. The solution of the problem will be obtained both for the case of a forced vibration and the case of a free vibration after the moving force has left the beam. Using these solutions, dynamic amplification factors will be determined for the deflections, bending moments, and shear forces, which are different for the two cases.</jats:p><jats:p>The magnitude of the amplification factors increases and decreases alternately as a function of the speed. In the case of a single force on a beam, the dynamic overloads are limited, and do not exceed 60%. There is no resonance phenomenon in the beam subjected to the single moving force. The dynamic amplification factors determined in this way can be used as correction coefficients when designing engineering structures subjected to moving loads by static methods.</jats:p> Amplification Factors in the Case of Beam Under Moving Force – Theoretical Analysis Archives of Civil Engineering |
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Polish Academy of Sciences Chancellery |
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Archives of Civil Engineering |
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title |
Amplification Factors in the Case of Beam Under Moving Force – Theoretical Analysis |
title_unstemmed |
Amplification Factors in the Case of Beam Under Moving Force – Theoretical Analysis |
title_full |
Amplification Factors in the Case of Beam Under Moving Force – Theoretical Analysis |
title_fullStr |
Amplification Factors in the Case of Beam Under Moving Force – Theoretical Analysis |
title_full_unstemmed |
Amplification Factors in the Case of Beam Under Moving Force – Theoretical Analysis |
title_short |
Amplification Factors in the Case of Beam Under Moving Force – Theoretical Analysis |
title_sort |
amplification factors in the case of beam under moving force – theoretical analysis |
topic |
Civil and Structural Engineering |
url |
http://dx.doi.org/10.2478/ace-2019-0006 |
publishDate |
2019 |
physical |
83-96 |
description |
<jats:title>Abstract</jats:title><jats:p>The impact of a moving load speed on the dynamic overload of beams, assuming that the track of the load has no unevenness, is examined. First the problem of a visco-elastic beam on a Winkler foundation subjected to a force moving at a constant speed will be solved. Using the Bubnov-Galerkin method, the deflections of the beam, and then the bending moments and shear forces will be determined. The solution of the problem will be obtained both for the case of a forced vibration and the case of a free vibration after the moving force has left the beam. Using these solutions, dynamic amplification factors will be determined for the deflections, bending moments, and shear forces, which are different for the two cases.</jats:p><jats:p>The magnitude of the amplification factors increases and decreases alternately as a function of the speed. In the case of a single force on a beam, the dynamic overloads are limited, and do not exceed 60%. There is no resonance phenomenon in the beam subjected to the single moving force. The dynamic amplification factors determined in this way can be used as correction coefficients when designing engineering structures subjected to moving loads by static methods.</jats:p> |
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author | Ataman, M. |
author_facet | Ataman, M., Ataman, M. |
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container_issue | 1 |
container_start_page | 83 |
container_title | Archives of Civil Engineering |
container_volume | 65 |
description | <jats:title>Abstract</jats:title><jats:p>The impact of a moving load speed on the dynamic overload of beams, assuming that the track of the load has no unevenness, is examined. First the problem of a visco-elastic beam on a Winkler foundation subjected to a force moving at a constant speed will be solved. Using the Bubnov-Galerkin method, the deflections of the beam, and then the bending moments and shear forces will be determined. The solution of the problem will be obtained both for the case of a forced vibration and the case of a free vibration after the moving force has left the beam. Using these solutions, dynamic amplification factors will be determined for the deflections, bending moments, and shear forces, which are different for the two cases.</jats:p><jats:p>The magnitude of the amplification factors increases and decreases alternately as a function of the speed. In the case of a single force on a beam, the dynamic overloads are limited, and do not exceed 60%. There is no resonance phenomenon in the beam subjected to the single moving force. The dynamic amplification factors determined in this way can be used as correction coefficients when designing engineering structures subjected to moving loads by static methods.</jats:p> |
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spelling | Ataman, M. 1230-2945 Polish Academy of Sciences Chancellery Civil and Structural Engineering http://dx.doi.org/10.2478/ace-2019-0006 <jats:title>Abstract</jats:title><jats:p>The impact of a moving load speed on the dynamic overload of beams, assuming that the track of the load has no unevenness, is examined. First the problem of a visco-elastic beam on a Winkler foundation subjected to a force moving at a constant speed will be solved. Using the Bubnov-Galerkin method, the deflections of the beam, and then the bending moments and shear forces will be determined. The solution of the problem will be obtained both for the case of a forced vibration and the case of a free vibration after the moving force has left the beam. Using these solutions, dynamic amplification factors will be determined for the deflections, bending moments, and shear forces, which are different for the two cases.</jats:p><jats:p>The magnitude of the amplification factors increases and decreases alternately as a function of the speed. In the case of a single force on a beam, the dynamic overloads are limited, and do not exceed 60%. There is no resonance phenomenon in the beam subjected to the single moving force. The dynamic amplification factors determined in this way can be used as correction coefficients when designing engineering structures subjected to moving loads by static methods.</jats:p> Amplification Factors in the Case of Beam Under Moving Force – Theoretical Analysis Archives of Civil Engineering |
spellingShingle | Ataman, M., Archives of Civil Engineering, Amplification Factors in the Case of Beam Under Moving Force – Theoretical Analysis, Civil and Structural Engineering |
title | Amplification Factors in the Case of Beam Under Moving Force – Theoretical Analysis |
title_full | Amplification Factors in the Case of Beam Under Moving Force – Theoretical Analysis |
title_fullStr | Amplification Factors in the Case of Beam Under Moving Force – Theoretical Analysis |
title_full_unstemmed | Amplification Factors in the Case of Beam Under Moving Force – Theoretical Analysis |
title_short | Amplification Factors in the Case of Beam Under Moving Force – Theoretical Analysis |
title_sort | amplification factors in the case of beam under moving force – theoretical analysis |
title_unstemmed | Amplification Factors in the Case of Beam Under Moving Force – Theoretical Analysis |
topic | Civil and Structural Engineering |
url | http://dx.doi.org/10.2478/ace-2019-0006 |