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Page 8 of 19                           Peng et al. Soft Sci. 2025, 5, 38  https://dx.doi.org/10.20517/ss.2025.31


















































                                                        Algorithm 2.

               distributed force of the robot needs to be calculated. The equivalent density can be expressed as


                                                                                                        (8)

               where m  and m  are the masses of the disks and backbone, respectively, and v  is the volume of the
                       d
                              b
                                                                                       r
                                                                 2
               backbone. The cross-sectional area can be defined as A = πr , where r is the radius of the backbone. Detailed
               information is listed in Table 2.
               As shown in Figure 3C and D, the continuum robot without tendon tension is positioned horizontally,
               which demonstrates a bent shape due to the weight of the robot and external load. The average error ΔE of
               point P (P , P , P ) between the simulation and experimental result is expressed as
                        X
                             Z
                           Y
                                                                                                        (9)
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