Dynamic Response of an Infinite BeamSource: Journal of Pressure Vessel Technology:;1975:;volume( 097 ):;issue: 002::page 107Author:H. Durlofsky
DOI: 10.1115/1.3454259Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Both the exact and an approximate solution for the dynamic response of an infinite Bernoulli-Euler beam under an instantaneously applied, concentrated load are presented in this paper. The exact solution is obtained by means of complex Fourier transforms. The approximate solution is obtained by assuming the dynamic response has the form of a deflected infinite beam on an elastic foundation, with wavelength a function of time. This assumption is motivated by the similarity between the dynamic response problem and the problem of an infinite beam on an elastic foundation. A governing equation for the wavelength in the assumed response is derived by application of the principle of conservation of energy, and solved by straightforward methods. A comparison of the two solutions shows good agreement near the point of loading. Results applicable to pipe whip problems are presented.
keyword(s): Dynamic response , Wavelength , Stress , Energy conservation , Pipes , Equations AND Fourier transforms ,
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| contributor author | H. Durlofsky | |
| date accessioned | 2017-05-08T22:59:39Z | |
| date available | 2017-05-08T22:59:39Z | |
| date copyright | May, 1975 | |
| date issued | 1975 | |
| identifier issn | 0094-9930 | |
| identifier other | JPVTAS-28118#107_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/88025 | |
| description abstract | Both the exact and an approximate solution for the dynamic response of an infinite Bernoulli-Euler beam under an instantaneously applied, concentrated load are presented in this paper. The exact solution is obtained by means of complex Fourier transforms. The approximate solution is obtained by assuming the dynamic response has the form of a deflected infinite beam on an elastic foundation, with wavelength a function of time. This assumption is motivated by the similarity between the dynamic response problem and the problem of an infinite beam on an elastic foundation. A governing equation for the wavelength in the assumed response is derived by application of the principle of conservation of energy, and solved by straightforward methods. A comparison of the two solutions shows good agreement near the point of loading. Results applicable to pipe whip problems are presented. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Dynamic Response of an Infinite Beam | |
| type | Journal Paper | |
| journal volume | 97 | |
| journal issue | 2 | |
| journal title | Journal of Pressure Vessel Technology | |
| identifier doi | 10.1115/1.3454259 | |
| journal fristpage | 107 | |
| journal lastpage | 109 | |
| identifier eissn | 1528-8978 | |
| keywords | Dynamic response | |
| keywords | Wavelength | |
| keywords | Stress | |
| keywords | Energy conservation | |
| keywords | Pipes | |
| keywords | Equations AND Fourier transforms | |
| tree | Journal of Pressure Vessel Technology:;1975:;volume( 097 ):;issue: 002 | |
| contenttype | Fulltext |