the focus of studies in the field of passive walking has often been on straight walking, while less attention has been paid to the field of turning motions. in this paper, the passive motions of a finite width rimless wheel as the simplest 3d model of passive biped walkers was investigated with a focus on turning motions. for this purpose, the hybrid model of the system consisting of continuous...

Some modern walking robots are capable of walking over very rough terrain. However, these robots often require significantly more energy to do so than a human. Passive-dynamic walking robots are often quite energy-efficient, but are usually only able to walk over smooth surfaces. In this work, we examine the dynamics of a 2D rimless wheel, an often studied simple model for walking. This paper a...

The focus of studies in the field of passive walking has often been on straight walking, while less attention has been paid to the field of turning motions. In this paper, the passive motions of a finite width rimless wheel as the simplest 3D model of passive biped walkers was investigated with a focus on turning motions. For this purpose, the hybrid model of the system consisting of continuous...

This paper discusses the mechanics of a rigid rimless spoked wheel, or regular polygon, ‘rolling’ downhill. By rolling, we mean motions in which the wheel pivots on one ‘support’ spoke until another spoke collides with the ground, followed by transfer of support to that spoke, and so on. We carry out three-dimensional numerical and analytical stability studies of steady motions of this system. ...

Hybrids systems are combinations of continuous and discrete systems. The bouncing ball is an extensively studied hybrid system, for which many solid Lyapunov-based tools are now available. Toward applying these tools to walking robots, where a hybrid dynamical system framework is also a natural fit, the rimless wheel provides a salient dynamic model because it shares commonalities with both bou...

In this thesis, I present the design and motion-capture analysis of two previously well-studied dynamic-walking machines, the rimless wheel and the compass gait robot. These robots were the basis for my undergraduate research at the Computer Science/Artificial Intelligence Laboratory (CSAIL) at the Massachusetts Institute of Technology. The rimless wheel is a real-world physical realization bui...

Split-belt treadmill walking, in which the two belts move at different speeds, reveals a mechanism through energy can be extracted from environment. When person walks with positive step length asymmetry on split-belt treadmill, perform net work person. Here we use rimless wheel model to explore how people could take advantage of treadmill. We show that passively walk steadily by capturing overc...

This paper investigates the efficiency of a 2-period gait from the kinetic energy view-point. First, we formulate a steady 2-period gait for a compass-like bipedal robot by using a simple recurrence formula for the kinetic energy of an asymmetric rimless wheel. Second, we theoretically show that, in the case that the mean value of the hip angle is constant, the generated 2-period steady gait is...

Painlevé paradox occurs in rigid-body dynamics of mechanical systems with frictional contacts at configurations where the instantaneous solution is either indeterminate or inconsistent. Dynamic jamming is a scenario where the solution starts with consistent slippage and then converges in finite time to a configuration of inconsistency while the contact force grows unbounded. The goal of this pa...

Rimless wheel robots are ground whose wheels have no rims or tires but only spokes. This paper considers torso-actuated robots. Each robot considered in this is composed of a single and torso connected to the centre by an actuated revolute joint. There been proposed several controllers for rimless robots; however, their locomotion properties poorly understood. For example, similarities differen...