In robotic actuators, low speeds and high torques are usually required. Small electric motors, which are more efficient at high speeds and low torques, do not fit the requirements directly. In order to transform the motor characteristics into the desired output characteristics, a transmission system is needed. Ideally, it should be optimally designed and adapted to the desired characteristics and the available space. Scaling laws can provide a way to design these desired output requirements as a function of the size parameters. These are however not yet available for transmission systems. To fill this gap, several scaling laws are developed throughout this paper for some of the most important robotic characteristics, i.e. maximum continuous output torque and reflected inertia, in function of the number of stages, the transmission ratio and the size parameters of different types of transmissions. These laws show that diameter has a much bigger influence on the characteristics of transmissions than length. All derived laws show good comparison with catalog data of manufacturers like Maxon, Moog, Neugart, Harmonic Drive , Sumitomo and SKF.
Series Elastic Actuators (SEAs) are used extensively in the field of wearable robotics because of their energy efficiency. Redundant drivetrains enable a further reduction in electrical energy consumption, as they use the actuator's motors in a more energy efficient way. In this work, we present a Series Elastic Dual-Motor Actuator (SEDMA), a kinematically redundant actuator with series elasticity. We simulate its use in an ankle prosthesis and compare its energy efficiency to that of a traditional SEA. Results indicate an energy reduction of 16% compared to the SEA.
The key component in compliant actuators is the elastic element, typically a spring. Nevertheless, different types of springs have different characteristics in terms of size, weight, maximum allowable force, maximum allowable torque and maximum allowable deflection. It is however very important to compare them on these requirements, since each application has other demands. In this paper, the energy storage capacity of different types of compliant elements are calculated using scaling laws in order to easily derive the maximum achievable energy capacity for a certain arrangement. These scaling laws are given as a function of the structural parameters and are validated with catalog data of spring manufacturers and distributors such as Alcomex, Lesjöfors and Century Spring. As such, different types of compliant elements can be compared in an easy way. To fully exploit the capabilities of compliant elements, these scaling laws are used to verify the effect of spring parallelization on mass and/or enclosed volume, which is interesting regarding redundant compliant actuation. From theoretical calculations and a case study, it follows that parallelization is beneficial, especially for mass reduction.
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