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The Computational Power of Frictional Mechanical Systems  (Make Corrections)  
John Reif Zheng Sun



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Abstract: In this paper we de ne a class of mechanical systems consisting of rigid objects (de ned by linear or quadratic surface patches) connected by frictional contact linkages between surfaces. (This class of mechanisms is similar to the Analytical Engine developed by Babbage in 1800s except that we assume frictional surfaces instead of toothed gears.) We prove that a universal Turing Machine (TM) can be simulated by a (universal) frictional mechanical system in this class consisting of a constant... (Update)

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BibTeX entry:   (Update)

@misc{ zheng-computational,
  author = "John Reif Zheng",
  title = "The Computational Power of Frictional Mechanical Systems",
  url = "citeseer.ist.psu.edu/585577.html" }
Citations (may not include all citations):
113   New lower bound techniques for robot motion planning problem.. (context) - Canny, Reif - 1987
90   Complexity of the mover's problem and generalizations (context) - Reif - 1979
79   Motion planning in the presence of moving obstacles - Reif, Sharir - 1985
57   Some algebraic and geometric computations in PSPACE (context) - Canny - 1988
37   Motion planning in the presence of movable obstacles (context) - Wilfong - 1988
21   the complexity of motion planning for multiple independent o.. (context) - Hopcroft, Schwartz et al. - 1984
19   Movement problems for 2-dimensional linkages (context) - Hopcroft, Joseph et al. - 1984
8   optimal motion for a rod (context) - Asano, Kirkpatrick et al. - 1996
5   Motion planning for a robot and a movable object amidst poly.. (context) - Dacre-Wright, Laumond et al. - 1992
5   Strong NP-hardness of moving many discs (context) - Spirakis, Yap - 1984
5   Lower bounds for geometrical and physical problems - Sellen - 1996
4   Practical path planning among movable obstacles (context) - Chen, Hwang - 1991
2   a representation of friction in con guration space (context) - Erdmann - 1994

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