An Exact Analysis of the Transient Interaction of Acoustic Plane Waves With a Cylindrical Elastic ShellSource: Journal of Applied Mechanics:;1970:;volume( 037 ):;issue: 004::page 1091Author:H. Huang
DOI: 10.1115/1.3408664Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The governing system of differential equations for the linear problem of the transient interaction of plane acoustic waves and a submerged elastic cylindrical shell is transformed into a system of Volterra integral equations of the second kind. The integral equations are solved by a step-by-step integration scheme and numerical results to the problem are obtained exactly within the limit of series solution imposed by the Gibb’s phenomenon and within the limit of numerical truncation and roundoff errors. Detailed features of the transient response of the shell were revealed.
keyword(s): Acoustics , Waves , Shells , Volterra equations , Transients (Dynamics) , Differential equations , Pipes , Errors AND Integral equations ,
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| contributor author | H. Huang | |
| date accessioned | 2017-05-09T00:30:59Z | |
| date available | 2017-05-09T00:30:59Z | |
| date copyright | December, 1970 | |
| date issued | 1970 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25927#1091_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/139567 | |
| description abstract | The governing system of differential equations for the linear problem of the transient interaction of plane acoustic waves and a submerged elastic cylindrical shell is transformed into a system of Volterra integral equations of the second kind. The integral equations are solved by a step-by-step integration scheme and numerical results to the problem are obtained exactly within the limit of series solution imposed by the Gibb’s phenomenon and within the limit of numerical truncation and roundoff errors. Detailed features of the transient response of the shell were revealed. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | An Exact Analysis of the Transient Interaction of Acoustic Plane Waves With a Cylindrical Elastic Shell | |
| type | Journal Paper | |
| journal volume | 37 | |
| journal issue | 4 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3408664 | |
| journal fristpage | 1091 | |
| journal lastpage | 1099 | |
| identifier eissn | 1528-9036 | |
| keywords | Acoustics | |
| keywords | Waves | |
| keywords | Shells | |
| keywords | Volterra equations | |
| keywords | Transients (Dynamics) | |
| keywords | Differential equations | |
| keywords | Pipes | |
| keywords | Errors AND Integral equations | |
| tree | Journal of Applied Mechanics:;1970:;volume( 037 ):;issue: 004 | |
| contenttype | Fulltext |