Ljubica S. Velimirovic, Svetozar R. Rancic
Higher Order Infinitesimal Bending of a Class of Toroids
Preprint series:
ESI preprints
- MSC:
- 53A05 Surfaces in Euclidean space
- 53C45 Global surface theory (convex surfaces a la A. D. Aleksandrov)
- 68U05 Computer graphics; computational geometry, See also {65Y25}
Abstract: n this paper we consider higher order infinitesimal bending of a
surface in $E_3$. Sufficient condition for a toroid generated by
polygonal meridian to be non-rigid of higher order is given. This
work is an extension of the results
[1]-[7]. Examples of non-rigid surfaces, with visual presentation of
infinitesimal bending are given.
Keywords: Higher order infinitesimal bending, toroid