A Stability Theorem for Hill’s Equation for Engineering ApplicationsSource: Journal of Vibration and Acoustics:;1995:;volume( 117 ):;issue: 3A::page 380Author:R. Bhattacharyya
DOI: 10.1115/1.2874465Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A criterion for determining the stability of solutions of Hill’s equation containing even periodic potential is developed based on Hill’s method of solution. In the special case of the Mathieu equation, the theorem is applied to generate stability maps that compares well with those obtained by existing methods. Finally, stability of Poynting oscillations of a rigid disk attached to a neo-Hookean rubber rod is briefly discussed.
keyword(s): Theorems (Mathematics) , Stability , Engineering systems and industry applications , Equations , Disks , Rubber AND Oscillations ,
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| contributor author | R. Bhattacharyya | |
| date accessioned | 2017-05-08T23:48:46Z | |
| date available | 2017-05-08T23:48:46Z | |
| date copyright | July, 1995 | |
| date issued | 1995 | |
| identifier issn | 1048-9002 | |
| identifier other | JVACEK-28821#380_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/116231 | |
| description abstract | A criterion for determining the stability of solutions of Hill’s equation containing even periodic potential is developed based on Hill’s method of solution. In the special case of the Mathieu equation, the theorem is applied to generate stability maps that compares well with those obtained by existing methods. Finally, stability of Poynting oscillations of a rigid disk attached to a neo-Hookean rubber rod is briefly discussed. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | A Stability Theorem for Hill’s Equation for Engineering Applications | |
| type | Journal Paper | |
| journal volume | 117 | |
| journal issue | 3A | |
| journal title | Journal of Vibration and Acoustics | |
| identifier doi | 10.1115/1.2874465 | |
| journal fristpage | 380 | |
| journal lastpage | 381 | |
| identifier eissn | 1528-8927 | |
| keywords | Theorems (Mathematics) | |
| keywords | Stability | |
| keywords | Engineering systems and industry applications | |
| keywords | Equations | |
| keywords | Disks | |
| keywords | Rubber AND Oscillations | |
| tree | Journal of Vibration and Acoustics:;1995:;volume( 117 ):;issue: 3A | |
| contenttype | Fulltext |