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Materials Science in

                                                                  Additive Manufacturing



                                        ORIGINAL RESEARCH ARTICLE
                                        Investigation of reversibility and bi-stability of

                                        3D-printed compliant structures with double
                                        curved beams



                                                                                 1
                                                     1
                                        Changlang Wu , Chenxi Peng 2,3  , Phuong Tran * , and Erich Rutz 2,3,4,5,6,7 *
                                        1 RMIT Centre for  Additive Manufacturing, School of Engineering, RMIT University, Melbourne,
                                        Victoria 3000, Australia
                                        2 Department of Paediatrics, The University of Melbourne, Parkville, Victoria 3052, Australia
                                        3 Murdoch Children’s Research Institute, Parkville, Victoria 3052, Australia
                                        4 The Royal Children’s Hospital Melbourne, Parkville, Victoria 3052, Australia
                                        5 The Hugh Williamson Gait Analysis Laboratory, The Royal Children’s Hospital Melbourne, Parkville,
                                        Victoria 3052, Australia
                                        6 School of Health and Biomedical Sciences, RMIT University, Bundoora, Victoria 3083, Australia
                                        7 Medical Faculty, The University of Basel, Basel 4001, Switzerland




            *Corresponding authors:     Abstract
            Phuong Tran
            (jonathan.tran@rmit.edu.au)   Compliant mechanisms have been widely found in nature. Instead of using rigid
            Erich Rutz
            (erich.rutz@rch.org.au)     joints in conventional mechanisms, compliant mechanisms transfer motions through
                                        their flexible members. This work employs the buckling of double curved beam
            Citation: Wu C, Peng C, Tran  P,   element to design compliant structures. Three groups of structures were proposed
            Rutz E. Investigation of reversibility
            and bi-stability of 3D printed   to investigate the influence of three different design parameters on their compliant
            compliant structures with double   behaviors under quasi-static compression: h’ (the ratio of beam apex height to beam
            curved beams. Mater Sci Add   thickness), l’ (the ratio of beam span length to thickness), and g’ (the ratio of membrane
            Manuf. 2024;3(4):4960.
            doi: 10.36922/msam.4960     length to thickness). The proposed structures were fabricated by fused filament
                                        fabrication with a composite material. Experimental data, numerical simulations,
            Received: September 26, 2024
                                        and analytical results were compared and evaluated. It was demonstrated that the
            1st revised: October 24, 2024  positive structural stiffness and peak force were correlated to the design parameter
            2nd revised: November 29, 2024  l’. The higher h’ value resulted in a more pronounced negative stiffness phase. In
                                        addition, the larger g’ could provide the beams with more constraint of buckling
            Accepted: November 29, 2024
                                        Mode 2 by transferring the rotational motion of either beam center to the axial
            Published Online: December 19,   motion of the other beam more effectively. The discrepancies between theoretical
            2024                        predictions and experimental results demonstrate the importance of fixed-end
            Copyright: © 2024 Author(s).   boundary conditions in achieving bi-stability. The transitions from reversibility to
            This is an Open-Access article   bi-stability by varying different design parameters provide insight into the design
            distributed under the terms of the
            Creative Commons Attribution   of compliant mechanisms. Herein, two approaches are evident to be effective in
            License, permitting distribution,   increasing the bi-stability of the curved beams with manufacturing defects and
            and reproduction in any medium,   under undesired boundary conditions: (i) designing with a higher ‘g’’ value and (ii)
            provided the original work is
            properly cited.             increasing the number of coupling beams.
            Publisher’s Note: AccScience
            Publishing remains neutral with   Keywords: Compliant structure; Double curved beams; Negative stiffness; Additive
            regard to jurisdictional claims in
            published maps and institutional   manufacturing; Reversibility; Bi-stability
            affiliations.





            Volume 3 Issue 4 (2024)                         1                              doi: 10.36922/msam.4960
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