author_facet Ataman, M.
Ataman, M.
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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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.
author_sort ataman, m.
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