Computer Science Technical Reports
CS at VT

Rotation of Polygonal Space Structures

Wang, C. Y. and Watson, Layne T. (1990) Rotation of Polygonal Space Structures. Technical Report TR-90-20, Computer Science, Virginia Polytechnic Institute and State University.

Full text available as:
PDF - Requires Adobe Acrobat Reader or other PDF viewer.
TR-90-20.pdf (705068)


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.

Item Type:Departmental Technical Report
Subjects:Computer Science > Historical Collection(Till Dec 2001)
ID Code:202
Deposited By:User autouser
Deposited On:05 December 2001