The Lie-Group Shooting Method for Estimating the Time-dependent External Forces of Inverse Vibration Problems
| Autor: | Cheng-Hsiung Chen, 陳正雄 |
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| Rok vydání: | 2008 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 96 For the inverse vibration problem, we will propose a Lie-group shooting method (LGSM) to simultaneously estimate the unknown time-dependent external forces of a generalized force vibration problem which have the time-dependent damping and stiffness coefficients by using displacements as input. First, we transform these ODEs into PDEs. Then, we formulate them as two-point boundary value problems and apply one-step group preserving schemes (one-step GPS) for the semi-discretizations of PDEs to obtain uncoupled algebraic equations, in which the estimation of the unknown time-dependent external forces can be written in a close-form. The key point of the LGSM is based on the construction of a one-step Lie group element and the establishment of a generalized mid-point Lie group element. Then, by imposing we can search of the minimum trial error to integrate by GPS, of which .From the numerical examples examined, the estimated results appear to have high efficiency and high accuracy for in the problems of the inverse forced vibration engineering. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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