Differential geometric formulation of hanging membranes: Shell membrane theory and variational principle

被引：0
|
作者：
Jikumaru, Yoshiki [1 ]
Yokosuka, Yohei [2 ]
机构：
[1] Kyushu Univ, Inst Math Ind, 744 Motooka, Nishi Ku, Fukuoka 8190395, Japan
[2] Kagoshima Univ, Fac Engn, Grad Sch Sci & Engn, Dept Architecture & Architectural Engn, 1-21-40 Korimoto, Kagoshima, Kagoshima 8900065, Japan
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS FOR INDUSTRY | 2022年 / 14卷 / 01期
关键词：
Hanging membrane forms; shell membrane theory; variational principle; isothermic surfaces;
D O I：
10.1142/S2661335222500046
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present differential geometric formulation of hanging membrane forms based on the equilibrium equations in the shell membrane theory and the geometric variational problems. We also present the equations of hanging membranes in isothermic coordinates which will be an effective representation for numerical analysis in our forthcoming paper.
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页数：7
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