New Mass-Spring Model with Triangle Meshes and Identification of Spring Parameters

A new mass-spring model which is suitable for arbitrary triangle meshes and material properties is proposed by introducing additional nodes and springs.The analytical solutions of spring parameters and additional node locations are determined according to the condition that the stiffness matrices of the mass-spring model are accurately equal to the ones of the linear finite element model. The deformation algorithm of new mass-spring model is improved to deal with the possible springs with negative stiffness parameters.Numerical simulations of planar flexible bodies show that new mass-spring model and deformation algorithm have satisfactory accuracy, high computational efficiency and good generality.