Abstract
We develop a learning algorithm for complex spring networks, aimed at adjusting their physical parameters so as to ensure a desired mechanical behaviour in response to physical input (control) stimuli. The algorithm is based on the gradient descent paradigm and has been tested on our computer implementation. The systems output by our software conform to real-world physics and thus are also suitable for hardware implementation.
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References
Connelly, R., Whiteley, W.: Second-Order Rigidity and Prestress Stability for Tensegrity Frameworks. SIAM Journal of Discrete Mathematics 9, 453–491 (1996)
Connelly, R.: Rigidity and energy. Inventiones Mathematicae 66, 11–33 (1982)
Gusev, A.A.: Finite Element Mapping for Spring Network Representations of the Mechanics of Solids. Phys. Rev. Lett. 93, 034302 (2004)
Jagota, A., Bennison, S.J.: Spring–Network and Finite–Element Models for Elasticity and Fracture. In: Bardhan, K.K., Chakrabarti, B.K., Hansen, A. (eds.) Proceedings of a Workshop on Breakdown and Non-Linearity in Soft Condensed Matter. Lecture Notes in Physics. Springer, Heidelberg (1994); conference held at the Saha Institute for Nuclear Physics, Calcutta, India, December 1-9 (1993), pp. 186–201, vol. 437. Springer, Heidelberg (1994)
Kanellos, A.: Topological Self-Organisation: Using a particle-spring system simulation to generate structural space-filling lattices. Masters thesis, UCL (University College London) (2007)
Kellomäki, M., Aström, J., Timonen, J.: Rigidity and Dynamics of Random Spring Networks. Phys. Rev. Lett. 77, 2730 (1996)
Kidwell, P.A., Williams, M.R.: The Calculating Machines: Their history and development. Massachusetts Institute of Technology and Tomash Publishers, USA (1992); Translated and edited from Martin, E.: Die Rechenmaschinen und ihre Entwicklungsgeschichte. Pappenheim, Germany (1925)
Kilian, A., Ochsendorf, J.: Particle–Spring Systems for Structural Form Finding. Journal of the International Association for Shell and Spatial Structures: IASS 46 (2005)
Olfati-Saber, R., Murray, R.M.: Graph Rigidity and Distributed Formation Stabilization of Multi-Vehicle Systems. In: Proc. of the 41st IEEE Conf. on Decision and Control, Las Vegas, Nevada, (2002)
Ostoja–Starzewski, M.: Lattice Models in Micromechanics. Appl. Mech. Rev. 55, 35–60 (2002)
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Czoków, M., Schreiber, T. (2010). Adaptive Spring Systems for Shape Programming. In: Rutkowski, L., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds) Artifical Intelligence and Soft Computing. ICAISC 2010. Lecture Notes in Computer Science(), vol 6114. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13232-2_51
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DOI: https://doi.org/10.1007/978-3-642-13232-2_51
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-13231-5
Online ISBN: 978-3-642-13232-2
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