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| Content Provider | Springer Nature Link |
|---|---|
| Author | Kwak, Moon K. Yang, Dong Ho |
| Copyright Year | 2013 |
| Abstract | In dealing with the dynamics of a flexible body, the rigid-body motions and elastic vibrations are analyzed separately. However, rigidbody motions cause vibrations, and elastic vibrations affect rigid-body motions, indicating the inherent coupling between rigid-body motions and elastic vibrations. The coupled equations of motion for a flexible body can be derived by means of Lagrange’s equations in terms of quasi-coordinates. The resulting equations of motion are hybrid and nonlinear. This paper proposes a unified approach for the equations of motion for a flexible body based on the perturbation method and the Lagrange’s equations of motion in terms of quasicoordinates and Euler parameters to analyze a more general case maneuvering. The resulting equations consist of zero-order nonlinear equations of motion which depict rigid-body motions and first-order time-varying linear equations of motion which depict perturbed rigid-body motions and elastic vibration. Hence, the input-shaped maneuvering can be applied to the zero-order equation considering the induced vibrations. Since the input-shaped maneuvering alone cannot achieve vibration suppression, the vibration suppression controller combined with the input-shaped maneuvering is proposed in this study. As a numerical example, a hub with elastic appendages is considered. Numerical results show that the unified modeling approach proposed in this paper is effective in numerical simulation and control design. |
| Starting Page | 657 |
| Ending Page | 671 |
| Page Count | 15 |
| File Format | |
| ISSN | 1738494X |
| Journal | Journal of Mechanical Science and Technology |
| Volume Number | 27 |
| Issue Number | 3 |
| e-ISSN | 19763824 |
| Language | English |
| Publisher | Korean Society of Mechanical Engineers |
| Publisher Date | 2013-03-22 |
| Publisher Place | Heidelberg |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Active vibration control Flexible multi body Input shaped Quasi-coordinate Mechanical Engineering Vibration, Dynamical Systems, Control Industrial and Production Engineering |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mechanics of Materials Mechanical Engineering |
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