Rotating Disk Shape: Is the Equation Nonlinear?Source: Journal of Vibration and Acoustics:;1989:;volume( 111 ):;issue: 004::page 456Author:R. R. Jettappa
DOI: 10.1115/1.3269882Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The determination of the shape of a rotating disk under centrifugal loading is considered. It is shown that the governing differential equation for the shape of a rotating thin disk is reducible to a linear equation of second order with variable coefficients. However, the form of this equation is such that it can be treated as an equation of first order thereby facilitating the integration by quadratures. All this is possible without any additional mathematical assumptions so that the results are exact within the limitations of the thin disk theory.
keyword(s): Equations , Rotating Disks , Shapes , Disks AND Differential equations ,
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| contributor author | R. R. Jettappa | |
| date accessioned | 2017-05-08T23:31:25Z | |
| date available | 2017-05-08T23:31:25Z | |
| date copyright | October, 1989 | |
| date issued | 1989 | |
| identifier issn | 1048-9002 | |
| identifier other | JVACEK-28983#456_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/106221 | |
| description abstract | The determination of the shape of a rotating disk under centrifugal loading is considered. It is shown that the governing differential equation for the shape of a rotating thin disk is reducible to a linear equation of second order with variable coefficients. However, the form of this equation is such that it can be treated as an equation of first order thereby facilitating the integration by quadratures. All this is possible without any additional mathematical assumptions so that the results are exact within the limitations of the thin disk theory. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Rotating Disk Shape: Is the Equation Nonlinear? | |
| type | Journal Paper | |
| journal volume | 111 | |
| journal issue | 4 | |
| journal title | Journal of Vibration and Acoustics | |
| identifier doi | 10.1115/1.3269882 | |
| journal fristpage | 456 | |
| journal lastpage | 458 | |
| identifier eissn | 1528-8927 | |
| keywords | Equations | |
| keywords | Rotating Disks | |
| keywords | Shapes | |
| keywords | Disks AND Differential equations | |
| tree | Journal of Vibration and Acoustics:;1989:;volume( 111 ):;issue: 004 | |
| contenttype | Fulltext |