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International Journal of Bioprinting                                     Cellular metamaterial flexure joints


            joints and then due to the changes in the stiffness of the   5. Conclusions and future works
            joints, the trajectory of the wooden cube will change, and
            the object will move toward the finger with lower stiffness   This paper presents a heterogeneous architecture of
            joints. This example shows that more complex motions can   the cellular mechanical metamaterial for flexure-based
            be encoded in the robotic grippers with MFJs.      revolute joints using 2D-designed auxetic unit cells.
                                                               The proposed architecture enables soft flexure joint
            4.4.2. Grasping linear objects                     with large range of rotation without requiring a large
                                                               notch in the structure and also provides tunable multi-
            The second application focuses on demonstration of the   level bending stiffness behavior. These characteristics
            large bending angle of the MFJs through grasping linear
            objects with small diameters. In robotic community,   of the MFJs enable the design of soft robotic fingers
            objects such as ropes, rods, strings, and cables are referred   with complex pre-programmed motions and highly
            to as linear objects . At present, most of the robotic   functional soft robotic hands for grasping wide range of
                            [24]
            hands/grippers are using pinch-type grip for grasping and   objects without the need for bulky actuators or complex
            manipulation of the linear objects as they are not able to   control systems.
            grasp linear objects with small diameter using power grasp.   The future work will focus on inverse design of the
            As a result, a high force pinch grip is required to manipulate   MFJs to obtain the geometrical parameters of the joints
            the linear objects for performing a task, such as making a   for a desired motion of the fingers. The main challenge
            knot. Human hand uses power grasp for grasping linear   in the inverse design is developing a general model of the
            objects (Figure 5A) and due to distributed forces on the   MFJ. Since developing a theoretical model that is reliable
            objects, low force grasps are sufficient for stable grasping   is difficult because of the large deformation and large
            without slipping. This problem is more prominent in soft   number  of  self-contacts  in  the  MFJ,  data-driven  models
            robotic hands since due to the compliance of the structure,   can be developed using FE simulations or real-world
            they cannot exert a high level of pinch forces.    experiments.

              To demonstrate the advantage of the MFJs in grasping   Acknowledgments
            linear objects with small diameter, which requires large
            bending angle of the finger joint, an anthropomorphic   None.
            5-fingered soft robotic hand  is fabricated where each
                                    [5]
            finger consists of three MFJs with different tuning   Funding
            parameters. The proximal interphalangeal (PIP) joint of   This project is funded by the Valma Angliss Trust and the
            the fingers of the robotic hand has a MFJ with maximum   University of Melbourne.
            bending angle of 110° similar to human finger. The
            metacarpophalangeal (MCP) and distal interphalangeal   Conflict of Interest
            (DIP) joints of these fingers have higher stiffness in   The authors have declared that no competing interests
            comparison to the PIP joint. The resultant trajectory of   exist.
            this architecture of the finger is similar to human hand for
            grasping linear objects with small diameter, as shown in   Author Contributions
            Figure 5B and 5C.
                                                               Conceptualization: Alireza Mohammadi, Elnaz Hajizadeh
              The performance of the robotic hand in grasping three   Formal analysis: Alireza Mohammadi
            different linear objects is shown in Figure 5 and Videoclip S2,   Methodology: Alireza Mohammadi, Elnaz Hajizadeh
            including a fishing line with diameter of 0.6 mm (Figure 5D),   Supervision: Peter Choong, Denny Oetomo, Ying Tan
            blind rope with diameter of 2 mm (Figure 5E), and also a   Validation: Alireza Mohammadi
            wire with diameter of 0.3 mm (Figure 5F). Since the stiffness   Visualization: Alireza Mohammadi
            of the joint is nonlinear, the stiffness level is much higher at   Writing – original draft: Alireza Mohammadi
            the end of the range of the bending angle, which results in   Writing – review & editing: Alireza Mohammadi, Ying Tan,
            firm power grasping, and it will not be easily opened because   Denny Oetomo
            of the external force of grasping the objects. For instance, for
            pulling the rope with high force, the robotic hand should   Ethics approval and consent to participate
            be able to not only grasp the rope but also hold it with high
            force. This is demonstrated in  Figure  5G where the soft   Not applicable.
            robotic hand can hold a rope with a 1-kg weight attached   Consent for publication
            to that, showing the advantages of MFJs with large bending
            angle and variable stiffness.                      Not applicable.


            Volume 9 Issue 3 (2023)                        407                         https://doi.org/10.18063/ijb.696
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