Identification of Dynamic Mass Spring Parameters for Deformable Body Simulation

Abstract

Mass spring systems (MSS) are frequently used to simulate deformable objects because of their conceptual sim- plicity and computational speed. Unfortunately, the model parameters (spring coefficients, masses) are not related to material constitutive laws in an obvious way. In our earlier work we proposed a method, which can be used to relate the parameters of the MSS to constitutive models, often used in continuum mechanics. In this report we have used this strategy to develop new formulae for the dynamic MSS parameters, i.e. the masses and the damping coefficients. This is the first report which identifies the damper coefficients analytically. In this work we restrict our attention to triangular meshes. Experimental evidence is given in support of our results.