References

Mechanical Sciences

Mech. Sci.

2191-916X

Copernicus Publications

Göttingen, Germany

10.5194/ms-3-5-2012

Modeling of a compliant joint in a Magnetic Levitation System for an endoscopic camera

Simi

¹ Tolou

² Valdastri

³ Herder

J. L.

² Menciassi

¹ Dario

The BioRobotics Institute, Scuola Superiore Sant'Anna, Pisa, Italy

Department of Biomechanical Engineering, Faculty of Mechanical, Maritime and Materials Engineering, Delft University of Technology, Delft, The Netherlands

STORM Lab, Mechanical Engineering Department, Vanderbilt University, Nashville, TN, USA

18 01 2012

3 1 5 14

2012

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A novel compliant Magnetic Levitation System (MLS) for a wired miniature surgical camera robot was designed, modeled and fabricated. The robot is composed of two main parts, head and tail, linked by a compliant beam. The tail module embeds two magnets for anchoring and manual rough translation. The head module incorporates two motorized donut-shaped magnets and a miniaturized vision system at the tip. The compliant MLS can exploit the static external magnetic field to induce a smooth bending of the robotic head (0–80°), guaranteeing a wide span tilt motion of the point of view. A nonlinear mathematical model for compliant beam was developed and solved analytically in order to describe and predict the trajectory behaviour of the system for different structural parameters. The entire device is 95 mm long and 12.7 mm in diameter. Use of such a robot in single port or standard multiport laparoscopy could enable a reduction of the number or size of ancillary trocars, or increase the number of working devices that can be deployed, thus paving the way for multiple view point laparoscopy.

References 1

ANSYS Inc.: Manual of ANSYS 11, ANSYS Inc., 2008.

Belendez, T., Neipp, C., and Belendez, A.: Large and small deflections of a cantilever beam, Eur. J. Phys., 23, 371–979, 2002.

Cadeddu, J., Fernandez, R., Desai, M., Bergs, R., Tracy, C., Tang, S., Rao, P., and Scott, D.: Novel magnetically guided intra-abdominal camera to facilitate laparoendoscopic single-site surgery: initial human experience, Surgical Endoscopy, 23, 1894–1899, 2009.

Cahill, R. A., Lewin, R. P., Mortensen, N. J., and Jones, H.: The principles and pratice of magnetic instrumentation for natural orifice transluminal endoscopic surgery and other limited access surgical operation, Proc. IMechE, J. Mech. Eng. Sci., 224C, 1455–1461, 2009.

Gere, J. M. and Timoshenko, S. P.: Mechanics of Materials, PWS Engineering Publishers, Boston, 1985.

He, J. H.: Homotopy perturbation technique, Comput. Methods Appl. Mech. Eng., 178, 257–262, 1999.

Howell, L.: Compliant mechanics, Wiley & Sons, New York, 2001.

Hu, Y., Allen, P., Hongle, N., and Fowler, D.: Insertable surgical imaging device with pan, tilt, zoom, and lighting, Journal of Robotic Research, 28, 1373–1386, 2009.

Kota, S., Lu, K., Kreiner, Z., Trease, B., Arenas, J., and Geiger, J.: Design and application of compliant mechanism for surgical tools, J. Biomech. Eng.-T. ASME, 127, 981–989, 2005.

Lehman, A., Berg, K., Dumpoert, J., Wood, N., Visty, A., Rentschler, M., Platt, S., Farritor, S., and Oleynikov, D.: Surgery with cooperative robots, Comput. Aided Surg., 13, 95–105, 2008.

Loring, S., Brown, R., Gouldstone, A., and Butler, J.: Lubrication regimes in mesothelial sliding, J. Biomech., 38, 2390–2396, 2005.

Morsch, F., Tolou, N., and Herder, J. L.: Comparison of Methods for Large Deflection Analysis of a Cantilever Beam Under Free End Point Load Cases, in: Proceeding of ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, 30 August–2 September, San Diego, CA, USA, Vol. 7, 33rd Mechanisms and Robotics Conference, Parts A and B, Paper no. DETC2009-86754, 183–191, <a href="http://dx.doi.org/10.1115/DETC2009-86754">https://doi.org/10.1115/DETC2009-86754</a>, 2009.

Park, S., Bergs, R. A., Eberhart, R., Baker, L., Fernandez, R., and Cadeddu, J.: Trocar-less instrumentation for laparoscopy: magnetic positioning of intra-abdominal camera and retractor, Ann. Surg., 245, 379–384, 2007.

Ponsky, L. E., Cherullo, E. E., Sawyer, M., and Hartke, D.: Single access site laparoscopic radical nephrectomy: initial clinical experience, J. Endourol., 22, 663–666, 2008.

Raman, J. D., Bensalah, K., Bagrodia, A., Stern, J., and Cadeddu, J.: Laboratory and clinical development of single keyhole umbilical nephrectomy, Urology, 70, 1039–1042, 2007.

Rané, A. and Rao, P.: Single-port-access nephrectomy and other laparoscopic urologic procedures using a novel laparoscopic port (R-port), Urology, 72, 260–263, 2008.

Romanelli, J. R. and Earle, D. B.: Single-port laparoscopic surgery: an overview, Surgical Endoscopy, 23, 1419–1427, 2009.

Simi, M., Ciuti, G., Tognarelli, S., Valdastri, P., Menciassi, A., and Dario, P.: Magnetic link design for a robotic laparoscopic camera, J. Appl. Phys., 107, 09B302, 1–3, 2010.

Simi, M., Valdastri, P., Di Lorenzo, N., Basili, G., Menciassi, A., and Dario, P.: Preliminary in-vivo Tests with a Magnetic Levitation Camera Robot for Laparoscopic Surgery, in: Proc. of Hamlyn Symposium on Medical Robotics, London, 25–26, 19–20 June 2011.

Simi, M., Silvestri, M., Cavallotti, C., Vatteroni, M., Valdastri, P., Menciassi, A., and Dario, P.: Magnetically Activated Stereoscopic Vision System for Laparoendoscopic Single Site Surgery, IEEE/ASME Transactions on Mechatronics, in press, 2012.

Song, C., Alijani, A., Frank, T., Hanna, G., and Cuschieri, A.: Mechanical properties of the human abdominal wall measured in vivo during insufflation for laparoscopic surgery, Surgical Endoscopy, 20, 987–990, 2006.

Swain, P., Austin, R., Bally, K., and Trusty, R.: Development and testing of a tethered, independent camera for notes and sigle-site laparoscopic procedures, Surgical Endoscopy, 24, 2013–2021, 2010.

Tolou, N., Khiat, A., Zhang, G. Q., and Herder, J. L.: Analytical Method for Determination of Young's Modulus of Large Deflection Carbon Nanotube, Int. J. Nonlin. Sci. Num., <a href="http://dx.doi.org/10.1515/IJNSNS.2011.300">https://doi.org/10.1515/IJNSNS.2011.300</a>, in press, 2012.

Valdastri, P., Quaglia, C., Buselli, E., Arezzo, A., Di Lorenzo, N., Morino, M., Menciassi, A., and Dario, P.: A magnetic internal mechanism for precise orientation of the camera in wireless endoluminal applications, Endoscopy, 42, 481–486, 2010.

Wang, J., Chena, J., and Liaob, S.: An explicit solution of the large deformation of a cantilever beam under point load at the free tip, J. Comput. Appl. Math., 212, 320–330, 2008.

Zeltser, I. S. and Cadeddu, J. A.: A novel magnetic anchoring and guidance system to facilitate single trocar laparoscopic nephrectomy, Curr. Urol. Rep., 9, 62–64, 2008.

Zeltser, I. S., Bergs, R., Fernandez, R., Baker, L., Eberhart, R., and Cadeddu, J.: Single trocar laparoscopic nephrectomy using magnetic anchoring and guidance system in the porcine model, J. Urol., 178, 288–291, 2007.