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

Abstract

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.

Keywords

• Hanging membrane forms
• shell membrane theory
• variational principle
• isothermic surfaces