Nonlinear Dynamics of the 3D Pendulum
β Scribed by Nalin A. Chaturvedi; Taeyoung Lee; Melvin Leok; N. Harris McClamroch
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 781 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0938-8974
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π SIMILAR VOLUMES
The formulation of dynamic procedures for three-dimensional (3-D) beams requires extensive use of the algebra pertaining to the non-linear character of the rotation group in space. The corresponding extraction procedure to obtain the rotations that span a time step has certain limitations, which can
We consider here the dynamics of a planar pendulum whose pivot points is rapidly forced with a periodic driving. We focus attention on stable 'inverted' motions which exist on, or close to, the upright position. Following earlier studies, the initial emphasis is placed on the system with vertical si