(a) The Universal Robot UR5 robot and the adopted kinematic model without and with additional joint. (b) The Panda robot from Franka Emika along with the first and the last frames, Σ 0 and Σ 7 , respectively. q = [q 1 , . . . q n ] T and ˙ q = [ ˙ q 1 , . . . ˙ q n ] T are the joint angles vector and the vector of their time derivatives, respectively. The geometric Jacobians J of the three manipulators satisfies:

(a) The Universal Robot UR5 robot and the adopted kinematic model without and with additional joint. (b) The Panda robot from Franka Emika along with the first and the last frames, Σ 0 and Σ 7 , respectively. q = [q 1 , . . . q n ] T and ˙ q = [ ˙ q 1 , . . . ˙ q n ] T are the joint angles vector and the vector of their time derivatives, respectively. The geometric Jacobians J of the three manipulators satisfies:

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Tele-examination based on robotic technologies is a promising solution to solve the current worsening shortage of physicians. Echocardiography is among the examinations that would benefit more from robotic solutions. However, most of the state-of-the-art solutions are based on the development of specific robotic arms, instead of exploiting COTS (co...

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... kinematics is similar to an anthropomorphic arm, with the noticeable difference that the last three R joints are not arranged in a spherical wrist fashion, so that all six joints contribute to both the translational and rotational motion of the end-effector [28]. A description of the kinematics of the robot is reported in Figure 3a, whereas Table 1 reports the Denavit-Hartenberg parameterization of the robot. In Figure 3a, Σ 6 and Σ 7 are the frames attached to the end-effector without and with additional joint, respectively. ...
Context 2
... description of the kinematics of the robot is reported in Figure 3a, whereas Table 1 reports the Denavit-Hartenberg parameterization of the robot. In Figure 3a, Σ 6 and Σ 7 are the frames attached to the end-effector without and with additional joint, respectively. ...
Context 3
... for the UR5, the wrist is not spherical, hence all joints contribute to both the position and orientation of the end-effector. The robot is shown in Figure 3, whereas Table 1 reports the Denavit-Hartenberg parameters as reported by the manufacturer. For the Panda robot, the same notation of the UR5 with additional DoF holds. ...
Context 4
... addition to these variables, we include the position of the patient with respect to the robot base in the optimization problem. To do that, we consider that the patient is steady with respect to the global frame Σ 0 attached to the base of the robot (see Figure 3) and that the pose of its reference frame Σ s with regard to Σ 0 is defined by To simplify the notation, when possible, we refer to x to mean the optimization array. ...

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... To reduce the cost of RUSS, commercial robotic manipulators e.g., Universal Robot (University robot, Denmark) and Franka Emika Panda (Franka Emika GmbH, Germany) are often used as PSM (Filippeschi et al., 2021;Mathiassen et al., 2016) [see Fig. 3 (b) and (c)]. It is noteworthy that another typical standard robotic arm KUKA LBR iiwa (KUKA Robotics GmbH, Germany), with integrated joint torque sensors, is also commonly employed as a PSM (Schreiter et al., 2022b,a). ...
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... Different robot design methodologies have been proposed using the combination of optimization algorithms and performance indices as objective functions. Some of them report algorithms such as MultiStart to optimize manipulability index [2], minimization of dexterity index [3], and exhaustive method to optimize volume, workspace, dexterity, and static efficiency [4]. Robot design proposals based on bio-inspired algorithms like particle swarm optimization (PSO) have been reported in the literature. ...
... From (1) L is the length sum of the links a i−1 and offsets d i−1 (2). ...
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Robotic systems are essential to technological development in the industrial, medical, and aerospace sectors. Nevertheless, their use in different applications requires that the robot have the best possible execution efficiency. For this, a robot with specific optimized characteristics is necessary to impact the performance of the specific task. Different techniques have been used in robot optimization, the most widely used being genetic algorithms (GA) and particle swarm optimization (PSO). However, there are optimization algorithms with high convergence speeds inspired by animal behavior, whose application in robot optimization has not been reported. In this work, bio-inspired algorithms Harris hawks optimization (HHO) and Grey wolf optimizer (GWO) are applied to a six-degree-of-freedom (6DOF) robot arm design through kinematic optimization. The lengths of the main robot links are optimized to improve the workspace volume and obtain a better-conditioned robot using the structural length index (SLI) and global condition index (GCI) as objective functions. A comparison is made between the proposed algorithms and GA and PSO regarding convergence speed, computational load, and optimality. Similar behavior has been found for HHO, GWO, and PSO compared to GA for both indexes. For the GCI problem, an average improvement of 14% was found when optimizing an industrial robot arm. Furthermore, multiple runs experiment is performed to test the robustness of the algorithms. The results show that HHO is the best technique to obtain an optimal robot design because it needs less than ten iterations to provide a better result despite its computational load.
... Most of the current research regarding ultrasonic robotics is in related to tele sonography (Swerdlow, 2017;Adams et al., 2021;Filippeschi et al., 2021) which is an interesting concept to consider in relation to obstetric ultrasound in cases where a distant specialist is required, but this is however not within the scope of this study. A recent study investigated multi-dimensional force and angle calibration; however, the study did not investigate forces related to obstetric US, but rather abdominal scans (Wang et al., 2021). ...
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