Serpentine tracked robots -i. e., articulated multitracked vehicles -are designed to move on rough terrains and used for a variety of purposes, including search and rescue operations, planetary exploration and environmental investigations. The steerability of such vehicles depends on its posture and interaction between the vehicle and the ground. In previous research, kinematic models with slip information were derived for articulated multi-tracked vehicles. Such kinematic models, however, do not allow for the slippage of the vehicle that occurs when moving at a high speed or on a slippery surface. In this paper, we derive a dynamic model on which the frictional force is acting between the track shoes of each track of the vehicle and the ground for the slippery conditions. The frictional model neglecting static friction is given by a formula for the friction coefficient function proposed in the field of Teramechanics in order to mainly analyze slip behavior. The model is also used to analyze the steering properties, or steerability of the vehicles.
I. INTRODUCTIONSerpentine tracked robots -i. e., articulated multi-tracked vehicles composed of several serially connected mono-tread [1], dual-tread [2], [3], [4], [5] or multi-tread [6], [7] tracked vehicles and steerable mono-tread tracked vehicles with bendable [8], [9], [10], [11], [12], [13], [14] or flexible [15] configuration in order to steer -are designed to move on rough terrains and are used for a variety of purposes, including search and rescue operations, planetary exploration, and environmental investigation. We have developed the flexible mono-tread tracked vehicle [15] and are trying to clarify the steerability under various conditions in order to control the vehicle. We hereafter use the term "articulated multi-tracked vehicles" for all articulated tracked vehicles, including articulated monotread or dual-tread multi-tracked vehicles and steerable monotread tracked vehicles. The steerability of articulated multitracked vehicles depends on their posture and interaction between track shoes and the ground. A mathematical model is needed to analyse the steerability and control the vehicle. Takeuchi [16] derived a kinematic model for an articulated dual-tread dual-tracked vehicle, which Isayama [17] expanded to allow for slippage. However the kinematic models are not useful for analysis of a tracked vehicle maneuvering at a high speed or moving on slippery surface, since the slippage varies depending on the interaction. This has given rise to the need for a dynamic model that takes into consideration