2 papers
math.OC2025
The Plateau Problem of Michell Trusses and Orthogonality in Springs
Chengcheng Yang
Given finitely many pointed forces in the plane. Suppose that these forces sum up to zero and their net torques also sum up to zero. One can show that there exists a system of spri…
math.OC2025
Michell Truss and From 1-beam to k-beam
Chengcheng Yang
This paper generalizes the Michell Truss problem and Gangbo's paper from 1-dimension to higher dimensions using geometric measure theory. Given an elastic surface made of $(k-1…