Differential noncircular pulleys for cable robots and static balancing

In this paper, we introduce a mechanism consisting of a pair of noncircular pulleys with a constant-length cable. While a single noncircular pulley is generally limited to continuously winding or unwinding, the differential cable routing proposed here allows to generate non-monotonic motions at the output of the arrangement, i.e. the location of the idler pulley redirecting the cable. The equations relating its motion to rotation angles of the noncircular pulleys and to the cable length are presented in the first part of this paper. Next, we introduce a graphical method allowing us to obtain the required pulley profiles for a given output function. Our approach is finally demonstrated with two application examples: the guiding of a cable-suspended robot along a complex trajectory using a single actuator, and the static balancing of a pendulum with a 360 degree rotational range of motion

Design of a partially-coupled self-adaptive robotic finger optimized for collaborative robots

This paper presents the design and optimization of a self-adaptive, a.k.a. underactuated, finger targeted to be used with collaborative robots. Typical robots, whether collaborative or not, mostly rely on standard translational grippers for pick-and-place operations. These grippers are constituted from an actuated motion platform on which a set of jaws is rigidly attached. These jaws are often designed to secure a precise and limited range of objects through the application of pinching forces. In this paper, the design of a self-adaptive robotic finger is presented which can be attached to these typical translational gripper to replace the common monolithic jaws and provide the gripper with shape-adaptation capabilities without any control or sensors. A new design is introduced here and specially optimized for collaborative robots. The kinetostatic analysis of this new design is first discussed and then followed by the optimization of relevant geometric parameters taking into account the specificities of collaborative robots. Finally, a practical prototype attached to a very common collaborative robot is demonstrated. While the resulting finger design could be attached to any translational gripper, specifically targeting collaborative robots as an application allows for more liberty in the choice of certain design parameters and more constraints for others

From flapping wings to underactuated fingers and beyond: a broad look to self-adaptive mechanisms

In this paper, the author first reviews the different terminologies used in underactuated grasping and illustrates the current increase of activity on this topic. Then, the (probably) oldest known self-adaptive mechanism is presented and its performance as an underactuated finger is discussed. Its original application, namely a flapping wing, is also shown. Finally, it is proposed that the mechanisms currently used in underactuated grasping have actually other applications similarly to the previously discussed architecture could be used for both an underactuated finger and a flapping wing

The kinematic preshaping of triggered self-adaptive linkage-driven robotic fingers

In this paper, the issue of the kinematic - as opposed to dynamic - preshaping of self-adaptive robotic fingers driven by linkages is discussed. A method to obtain designs of these fingers capable of various behaviours during their closing motions is presented. The method is based on using triggered passive elements in carefully selected joints of the finger and the selection or optimization of geometric parameters to obtain particular kinematic relationships between the motions of the phalanges. This method is very general and can be applied to any self-adaptive robotic finger in order to obtain many different types of closing motions. Examples given in this paper are focusing on two different preshaping motions, the first one aims at allowing pinch grasps while the second mimics a human finger. The fundamental aim of this paper is to show that various preshapings of self-adaptive fingers are possible, not just one, and to give two step-by-step examples

Practical considerations on proprioceptive tactile sensing for underactuated fingers

RÉSUMÉ: Les mécanismes sous-actionnés sont de plus en plus répandus dans les nouvelles mains robotisées, en raison notamment du désir de réduire la complexité et les coûts associés aux systèmes conventionnels pleinement actionnés. Avec le même objectif de réduire les coûts des composants nécessaires pour assurer un retour sensoriel, de nombreux auteurs ont travaillé sur la recherche de solutions de rechange aux capteurs tactiles externes. Cet article traite de l’une de ces méthodes, à savoir, la mesure tactile proprioceptive, spécifiquement conçue pour les doigts sous-actionnés. Une attention particulière est portée sur certaines considérations pratiques telles que l’impact de la courbure de l’objet saisi et la reconfiguration du doigt après le contact. En outre, l’analyse de leur influence sur la précision de l’algorithme est proposée. À cette fin, des simulations et des données expérimentales sont présentées pour différents scénarios de saisie. On montre que l’effet de la courbure locale reste limité par rapport à d’autres causes d’imprécision telles que le frottement dans le système. Il est également démontré que la reconfiguration, si elle se fait à l’intérieur de limites raisonnables, n’entraîne pas de variation significative sur l’estimation du point de contact. ---------- ABSTRACT: Underactuated mechanisms are becoming more prevalent in new robotic graspers, partly because of the desire to reduce the complexity and associated costs of conventional fully actuated systems. With the same objective of reducing the costs of the components needed to provide a sensory feedback, several authors have worked on finding alternatives to external tactile sensors. This paper is about one of these methods, namely proprioceptive tactile sensing, especially designed for underactuated fingers. It focuses on certain practical considerations, such as the impact of the curvature of the grasped object and the reconfiguration of the finger after the contact, and proposes the analysis of their influence on the precision of the algorithm. To this aim, simulations and experimental data are provided for different grasping scenarios. It is shown that the effect of local curvature remains limited compared with other causes of imprecision such as friction in the system. It is also demonstrated that the reconfiguration, if within reasonable limits, does not cause significant variations on the estimation of the contact location

Geometric optimization of a self-adaptive robotic leg

RÉSUMÉ: En utilisant une approche similaire aux mécanismes de doigts sous-actionnés, les capacités d’adaptation d’une architecture de jambe robotique à deux DDL de type Hoeckens-Pantographe sont optimisées dans cet article afin de lui permettre de surmonter des obstacles imprévus lors de sa phase de vol. Une optimisation multiobjective des paramètres géométriques du mécanisme a été effectuée afin de mettre en évidence l’opposition existant entre deux objectifs contradictoires et choisir un compromis. Le premier de ces objectifs mesure la capacité d’adaptation passive de la jambe en calculant le couple d’entrée requis pour amorcer le glissement désiré le long d’un obstacle. La deuxième fonction objective évalue la trajectoire de base suivie par l’extrémité de la jambe en se basant sur trois critères : linéarité, ratio de la phase de support, et rapport hauteur / largeur. En comparaison avec la géométrie initiale pasée sur le mécanisme de Hoecken, le mécanisme final trouvé sur le front de Pareto présente une amélioration marquée des capacités d’adaptation, au coût d’une légère réduction de la durée de la phase de support. Cet article étend la philosophie de l’autoadaptation mécanique, qui a récemment beaucoup attiré l’attention dans le domaine de la préhension, à celui de la marche, et ouvre la voie à une validation expérimentale de cette approche. ---------- ABSTRACT: This paper demonstrates the self-adaptive capabilities of a two-degree-of-freedom Hoeckens-pantograph robotic leg (inspired by underactuated mechanical fingers) as well as its optimization, allowing it to overcome unexpected obstacles during its swing phase. A multi-objective optimization of the mechanism’s geometric parameters is performed using a genetic algorithm to highlight the trade-off between two conflicting objectives and select an appropriate compromise. The first of those objective functions measures the leg’s passive adaptation capability through a calculation of the input torque required to initiate the desired sliding motion along an obstacle. The second objective function evaluates the free-space trajectory followed by the leg endpoint using three criteria: linearity, stance ratio, and height-to-width ratio. In comparison with the initial geometry based on the Hoecken’s linkage, the selected final mechanism chosen from the Pareto front shows an important improvement of the adaptation capabilities, at the cost of a slight decrease in the stance phase duration. This paper expands on mechanical self-adaptive design philosophy, which has recently attracted a lot of attention in the field of grasping, to legged locomotion and paves the way for subsequent experimental validation of this approach

Analysis and Optimization of a New Differentially Driven Cable Parallel Robot

In this paper, a new three degrees of freedom (DOF) differentially actuated cable parallel robot is proposed. This mechanism is driven by a prismatic actuator and three cable differentials. Through this design, the idea of using differentials in the structure of a spatial cable robot is investigated. Considering their particular properties, the kinematic analysis of the robot is presented. Then, two indices are defined to evaluate the workspaces of the robot. Using these indices, the robot is subsequently optimized. Finally, the performance of the optimized differentially driven robot is compared with fully actuated mechanisms. The results show that through a proper design methodology, the robot can have a larger workspace and better performance using differentials than the fully driven cable robots using the same number of actuators