Passive Implementation of Multibody Simulations for Haptic Display 2 J. Michael Brown J. Edward Colgate Proceedings of the ASME Interational Mechanical Engineering Congress and Exhibition 1997 ASME http://lims.mech.northwestern.edu/mbrown-lib/imece97/imece97.ps This paper addresses the issue of providing stability guarantees during the implementation of multibody simulations for haptic display. It introduces the concept of a virtual coupling between the multibody simulation and haptic display hardware. This coupling separates the simulation design process from the sampled- data stability issues that arise during its implementation with a haptic display. Necessary conditions for passivity of a 1-DOF haptic display with a discrete-time passive simulation and an arbitrary virtual coupling are given. The implications of discrete-time passivity on numerical integration and collision response algorithms are also addressed.