2018/07/14 by Bernd Schulze, Schulze, Bernd, Hattie Serocold +3
Engineering · Biochemistry, Genetics and Molecular Biology · #Structural Analysis and Optimization #Advanced Materials and Mechanics #Cellular Mechanics and Interactions
paper · doi:10.48550/arxiv.1807.05376
We develop a rigidity theory for bar-joint frameworks in Euclidean d-space in which specified classes of edges are allowed to change length in a coordinated fashion that requires differences of lengths to be preserved within each class. Rigidity for these coordinated frameworks is a generic property, and we characterize the rigid graphs in terms of redundant rigidity in the standard d-dimensional rigidity matroid. We also interpret our main results in terms of matroid unions.