A Two-Dimensional Numerical Solution for Elastic Waves in Variously Configured RodsSource: Journal of Applied Mechanics:;1971:;volume( 038 ):;issue: 001::page 62Author:J. L. Habberstad
DOI: 10.1115/1.3408768Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The exact equations of motion governing elastic, axisymmetric wave propagation in a cylindrical rod are approximated by a first-order finite-difference scheme. This difference scheme is based on a displacement rather than a velocity formulation, thereby making it unnecessary to explicitly introduce an artificial viscosity term into the finite-difference equations. The resulting difference equations are used in conjunction with the boundary and initial conditions 10 study: (a) a pressure pulse applied to the end of a semi-infinite bar, (b) a bar composed of two materials joined together at some point along its length, and (c) a bar containing a discontinuity in cross section. The numerical results so obtained are compared to available experimental data and other analytical-numerical solutions.
keyword(s): Elastic waves , Rods , Equations , Equations of motion , Displacement , Pressure , Wave propagation AND Viscosity ,
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| contributor author | J. L. Habberstad | |
| date accessioned | 2017-05-09T00:52:26Z | |
| date available | 2017-05-09T00:52:26Z | |
| date copyright | March, 1971 | |
| date issued | 1971 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25934#62_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/149523 | |
| description abstract | The exact equations of motion governing elastic, axisymmetric wave propagation in a cylindrical rod are approximated by a first-order finite-difference scheme. This difference scheme is based on a displacement rather than a velocity formulation, thereby making it unnecessary to explicitly introduce an artificial viscosity term into the finite-difference equations. The resulting difference equations are used in conjunction with the boundary and initial conditions 10 study: (a) a pressure pulse applied to the end of a semi-infinite bar, (b) a bar composed of two materials joined together at some point along its length, and (c) a bar containing a discontinuity in cross section. The numerical results so obtained are compared to available experimental data and other analytical-numerical solutions. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | A Two-Dimensional Numerical Solution for Elastic Waves in Variously Configured Rods | |
| type | Journal Paper | |
| journal volume | 38 | |
| journal issue | 1 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3408768 | |
| journal fristpage | 62 | |
| journal lastpage | 70 | |
| identifier eissn | 1528-9036 | |
| keywords | Elastic waves | |
| keywords | Rods | |
| keywords | Equations | |
| keywords | Equations of motion | |
| keywords | Displacement | |
| keywords | Pressure | |
| keywords | Wave propagation AND Viscosity | |
| tree | Journal of Applied Mechanics:;1971:;volume( 038 ):;issue: 001 | |
| contenttype | Fulltext |