Infinitesimal Rotary Deformations of Surfaces and Their Application to the Theory of Elastic Shells

• Datum: 2003
• Hauptverfasser: Leiko, S. G., Fedchenko, Yu. S., Лейко, С. Г., Федченко, Ю. С.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2003
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4031
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We present a variational generalization of the problem of infinitesimal geodesic deformations of surfaces in the Euclidean space E 3. By virtue of rotary deformation, the image of every geodesic curve is an isoperimetric extremal of rotation (in the principal approximation). The results are associat...