A Mass-Spring Model for Haptic Display of Flexible Object Global Deformation

The global deformation model of virtual object by force is a key issue for haptic interaction between human and virtual reality. A discrete globe mass -spring model is proposed for flexible object deformation, and its surface is divided radially along the force center. The mass-spring system is composed of the nodes connected with radial distributed springs. Using the theory of virtual work, the relations between virtual force and nodal displacements are analyzed to get global deformations. Object globe deformation is simulated by measuring the nodal deformations based on a force equation at each node. According to the model, the deformation of the flexible object is simulated, and synchronously the real-time virtual contact force is provided with delta haptic device.