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Dynamic Analysis of an Infinitely Long Beam Resting on a Kelvin Foundation under Moving Random Loads
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| Zeitschriftentitel: | Shock and Vibration |
|---|---|
| Personen und Körperschaften: | , , |
| In: | Shock and Vibration, 2017, 2017, S. 1-13 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Hindawi Limited
|
| Schlagwörter: |
| author_facet |
Zhao, Y. Si, L. T. Ouyang, H. Zhao, Y. Si, L. T. Ouyang, H. |
|---|---|
| author |
Zhao, Y. Si, L. T. Ouyang, H. |
| spellingShingle |
Zhao, Y. Si, L. T. Ouyang, H. Shock and Vibration Dynamic Analysis of an Infinitely Long Beam Resting on a Kelvin Foundation under Moving Random Loads Mechanical Engineering Mechanics of Materials Geotechnical Engineering and Engineering Geology Condensed Matter Physics Civil and Structural Engineering |
| author_sort |
zhao, y. |
| spelling |
Zhao, Y. Si, L. T. Ouyang, H. 1070-9622 1875-9203 Hindawi Limited Mechanical Engineering Mechanics of Materials Geotechnical Engineering and Engineering Geology Condensed Matter Physics Civil and Structural Engineering http://dx.doi.org/10.1155/2017/3809415 <jats:p>Nonstationary random vibration analysis of an infinitely long beam resting on a Kelvin foundation subjected to moving random loads is studied in this paper. Based on the pseudo excitation method (PEM) combined with the Fourier transform (FT), a closed-form solution of the power spectral responses of the nonstationary random vibration of the system is derived in the frequency-wavenumber domain. On the numerical integration scheme a fast Fourier transform is developed for moving load problems through a parameter substitution, which is found to be superior to Simpson’s rule. The results obtained by using the PEM-FT method are verified using Monte Carlo method and good agreement between these two sets of results is achieved. Special attention is paid to investigation of the effects of the moving load velocity, a few key system parameters, and coherence of loads on the random vibration responses. The relationship between the critical speed and resonance is also explored.</jats:p> Dynamic Analysis of an Infinitely Long Beam Resting on a Kelvin Foundation under Moving Random Loads Shock and Vibration |
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| title |
Dynamic Analysis of an Infinitely Long Beam Resting on a Kelvin Foundation under Moving Random Loads |
| title_unstemmed |
Dynamic Analysis of an Infinitely Long Beam Resting on a Kelvin Foundation under Moving Random Loads |
| title_full |
Dynamic Analysis of an Infinitely Long Beam Resting on a Kelvin Foundation under Moving Random Loads |
| title_fullStr |
Dynamic Analysis of an Infinitely Long Beam Resting on a Kelvin Foundation under Moving Random Loads |
| title_full_unstemmed |
Dynamic Analysis of an Infinitely Long Beam Resting on a Kelvin Foundation under Moving Random Loads |
| title_short |
Dynamic Analysis of an Infinitely Long Beam Resting on a Kelvin Foundation under Moving Random Loads |
| title_sort |
dynamic analysis of an infinitely long beam resting on a kelvin foundation under moving random loads |
| topic |
Mechanical Engineering Mechanics of Materials Geotechnical Engineering and Engineering Geology Condensed Matter Physics Civil and Structural Engineering |
| url |
http://dx.doi.org/10.1155/2017/3809415 |
| publishDate |
2017 |
| physical |
1-13 |
| description |
<jats:p>Nonstationary random vibration analysis of an infinitely long beam resting on a Kelvin foundation subjected to moving random loads is studied in this paper. Based on the pseudo excitation method (PEM) combined with the Fourier transform (FT), a closed-form solution of the power spectral responses of the nonstationary random vibration of the system is derived in the frequency-wavenumber domain. On the numerical integration scheme a fast Fourier transform is developed for moving load problems through a parameter substitution, which is found to be superior to Simpson’s rule. The results obtained by using the PEM-FT method are verified using Monte Carlo method and good agreement between these two sets of results is achieved. Special attention is paid to investigation of the effects of the moving load velocity, a few key system parameters, and coherence of loads on the random vibration responses. The relationship between the critical speed and resonance is also explored.</jats:p> |
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| author | Zhao, Y., Si, L. T., Ouyang, H. |
| author_facet | Zhao, Y., Si, L. T., Ouyang, H., Zhao, Y., Si, L. T., Ouyang, H. |
| author_sort | zhao, y. |
| container_start_page | 1 |
| container_title | Shock and Vibration |
| container_volume | 2017 |
| description | <jats:p>Nonstationary random vibration analysis of an infinitely long beam resting on a Kelvin foundation subjected to moving random loads is studied in this paper. Based on the pseudo excitation method (PEM) combined with the Fourier transform (FT), a closed-form solution of the power spectral responses of the nonstationary random vibration of the system is derived in the frequency-wavenumber domain. On the numerical integration scheme a fast Fourier transform is developed for moving load problems through a parameter substitution, which is found to be superior to Simpson’s rule. The results obtained by using the PEM-FT method are verified using Monte Carlo method and good agreement between these two sets of results is achieved. Special attention is paid to investigation of the effects of the moving load velocity, a few key system parameters, and coherence of loads on the random vibration responses. The relationship between the critical speed and resonance is also explored.</jats:p> |
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| spelling | Zhao, Y. Si, L. T. Ouyang, H. 1070-9622 1875-9203 Hindawi Limited Mechanical Engineering Mechanics of Materials Geotechnical Engineering and Engineering Geology Condensed Matter Physics Civil and Structural Engineering http://dx.doi.org/10.1155/2017/3809415 <jats:p>Nonstationary random vibration analysis of an infinitely long beam resting on a Kelvin foundation subjected to moving random loads is studied in this paper. Based on the pseudo excitation method (PEM) combined with the Fourier transform (FT), a closed-form solution of the power spectral responses of the nonstationary random vibration of the system is derived in the frequency-wavenumber domain. On the numerical integration scheme a fast Fourier transform is developed for moving load problems through a parameter substitution, which is found to be superior to Simpson’s rule. The results obtained by using the PEM-FT method are verified using Monte Carlo method and good agreement between these two sets of results is achieved. Special attention is paid to investigation of the effects of the moving load velocity, a few key system parameters, and coherence of loads on the random vibration responses. The relationship between the critical speed and resonance is also explored.</jats:p> Dynamic Analysis of an Infinitely Long Beam Resting on a Kelvin Foundation under Moving Random Loads Shock and Vibration |
| spellingShingle | Zhao, Y., Si, L. T., Ouyang, H., Shock and Vibration, Dynamic Analysis of an Infinitely Long Beam Resting on a Kelvin Foundation under Moving Random Loads, Mechanical Engineering, Mechanics of Materials, Geotechnical Engineering and Engineering Geology, Condensed Matter Physics, Civil and Structural Engineering |
| title | Dynamic Analysis of an Infinitely Long Beam Resting on a Kelvin Foundation under Moving Random Loads |
| title_full | Dynamic Analysis of an Infinitely Long Beam Resting on a Kelvin Foundation under Moving Random Loads |
| title_fullStr | Dynamic Analysis of an Infinitely Long Beam Resting on a Kelvin Foundation under Moving Random Loads |
| title_full_unstemmed | Dynamic Analysis of an Infinitely Long Beam Resting on a Kelvin Foundation under Moving Random Loads |
| title_short | Dynamic Analysis of an Infinitely Long Beam Resting on a Kelvin Foundation under Moving Random Loads |
| title_sort | dynamic analysis of an infinitely long beam resting on a kelvin foundation under moving random loads |
| title_unstemmed | Dynamic Analysis of an Infinitely Long Beam Resting on a Kelvin Foundation under Moving Random Loads |
| topic | Mechanical Engineering, Mechanics of Materials, Geotechnical Engineering and Engineering Geology, Condensed Matter Physics, Civil and Structural Engineering |
| url | http://dx.doi.org/10.1155/2017/3809415 |