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    Rotation of Polygonal Space Structures

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    TR-90-20.pdf (688.5Kb)
    Downloads: 69
    TR number
    TR-90-20
    Date
    1990
    Author
    Wang, Chang Y.
    Watson, Layne T.
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    Abstract
    The free rotation in space of flexible polygonal structures about their axes is studied. The large deformation equations are formulated, resulting in a set of sixth order nonlinear differential equations. The governing parameter B represents the relative importance of centrifugal forces to flexural rigidity. Perturbation solutions are obtained for small B. The equations are also integrated numerically by quasi-Newton and homotopy methods. Forces, moments, and maximum deformations are determined for polygons of three to six sides and B up to 100. At very large B, the polygons deform into a circle.
    URI
    http://hdl.handle.net/10919/19603
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    • Computer Science Technical Reports [1035]

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