Linear bending of star-like pyramids |
| |
Authors: | Anatoliy D Milka |
| |
Institution: | Verkin Institute for Low Temperature Physics, 47, Lenin avenue, 61103, Kharkiv, Ukraine |
| |
Abstract: | A family of polyhedra possessing unusual deformation properties is found. On one hand, models of these polyhedra admit free continuous large reversible bending without visible distortions of the material. On the other hand, the polyhedra themselves are rigid and do not admit continuous bending in the sense of the Cauchy definition. The found polyhedra are called model flexors in order to distiguish them from theoretical flexsors of Connelly. Bendings of the models are asymptotically exactly approximated by linear bendings of polyhedra. They represent a nonrigid, soft or slow, loss of stability that corresponds to the loss of stability in small accordingly to Euler. This new phenomenon in mechanics of deformable solid bodies may be considered as an original geometric machine of catastrophe. To cite this article: A.D. Milka, C. R. Mecanique 331 (2003). |
| |
Keywords: | Dynamics of rigid or flexible systems Rigidity and bendings of polyhedra Linear bending Nonrigid soft or slow loss of stability Supercritical deformations of shellsDynamique des systè mes rigides ou flexibles Rigidité et flexions de polyè dres Flexion liné aire Perte de stabilité non-rigide douce ou ralentie Dé formations supercritiques d'enveloppes |
本文献已被 ScienceDirect 等数据库收录! |
|