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

• Дата: 2003
• Автори: Leiko, S. G., Fedchenko, Yu. S., Лейко, С. Г., Федченко, Ю. С.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2003
• Онлайн доступ: 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...