title: Bounds for damping that guarantee stability in mass-spring systems.
abstract: Mass-spring systems are often used to model anatomical structures in medical simulation. They can produce plausible deformations in soft tissue, and are computationally efficient. Determining damping values for a stable mass-spring system can be difficult. Previously stable models can become unstable with topology changes, such as during cutting. In this paper, we derive bounds for the damping coefficient in a mass-spring system. Our formulation can be used to evaluate the stability for user specified damping values, or to compute values that are unconditionally stable.
authors.affiliation: The Surgical Simulation Laboratory, National Capital Area Medical Simulation Center, Uniformed Services University, USA.
authors.forename: Yogendra
authors.initials: Y
authors.lastname: Bhasin
authors.forename: Alan
authors.initials: A
authors.lastname: Liu
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D003238:Connective Tissue; D004501:Education, Medical; D008953:Models, Anatomic