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2016 | OriginalPaper | Chapter

37. Contact Modeling and Manipulation

Authors : Imin Kao, Kevin M. Lynch, Joel W. Burdick

Published in: Springer Handbook of Robotics

Publisher: Springer International Publishing

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Abstract

Robotic manipulators use contact forces to grasp and manipulate objects in their environments. Fixtures rely on contacts to immobilize workpieces. Mobile robots and humanoids use wheels or feet to generate the contact forces that allow them to locomote. Modeling of the contact interface, therefore, is fundamental to analysis, design, planning, and control of many robotic tasks.
This chapter presents an overview of the modeling of contact interfaces, with a particular focus on their use in manipulation tasks, including graspless or nonprehensile manipulation modes such as pushing. Analysis and design of grasps and fixtures also depends on contact modeling, and these are discussed in more detail in Chap. 38. Sections 37.237.5 focus on rigid-body models of contact. Section 37.2 describes the kinematic constraints caused by contact, and Sect. 37.3 describes the contact forces that may arise with Coulomb friction. Section 37.4 provides examples of analysis of multicontact manipulation tasks with rigid bodies and Coulomb friction. Section 37.5 extends the analysis to manipulation by pushing. Section 37.6 introduces modeling of contact interfaces, kinematic duality, and pressure distribution and soft contact interface. Section 37.7 describes the concept of the friction limit surface and illustrates it with an example demonstrating the construction of a limit surface for a soft contact. Finally, Sect. 37.8 discusses how these more accurate models can be used in fixture analysis and design.

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Appendix
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Literature
37.1
go back to reference A. Bicchi: On the problem of decomposing grasp and manipulation forces in multiple whole-limb manipulation, Int. J. Robotics Auton. Syst. 13, 127–147 (1994)CrossRef A. Bicchi: On the problem of decomposing grasp and manipulation forces in multiple whole-limb manipulation, Int. J. Robotics Auton. Syst. 13, 127–147 (1994)CrossRef
37.2
go back to reference K. Harada, M. Kaneko, T. Tsuji: Rolling based manipulation for multiple objects, Proc. IEEE Int. Conf. Robotics Autom. (ICRA), San Francisco (2000) pp. 3888–3895 K. Harada, M. Kaneko, T. Tsuji: Rolling based manipulation for multiple objects, Proc. IEEE Int. Conf. Robotics Autom. (ICRA), San Francisco (2000) pp. 3888–3895
37.3
go back to reference M.R. Cutkosky, I. Kao: Computing and controlling the compliance of a robotic hand, IEEE Trans. Robotics Autom. 5(2), 151–165 (1989)CrossRef M.R. Cutkosky, I. Kao: Computing and controlling the compliance of a robotic hand, IEEE Trans. Robotics Autom. 5(2), 151–165 (1989)CrossRef
37.4
go back to reference M.R. Cutkosky, S.-H. Lee: Fixture planning with friction for concurrent product/process design, Proc. NSF Eng. Des. Res. Conf. (1989) M.R. Cutkosky, S.-H. Lee: Fixture planning with friction for concurrent product/process design, Proc. NSF Eng. Des. Res. Conf. (1989)
37.5
go back to reference S.-H. Lee, M. Cutkosky: Fixture planning with friction, ASME J. Eng. Ind. 113(3), 320–327 (1991)CrossRef S.-H. Lee, M. Cutkosky: Fixture planning with friction, ASME J. Eng. Ind. 113(3), 320–327 (1991)CrossRef
37.6
go back to reference Q. Lin, J.W. Burdick, E. Rimon: A stiffness-based quality measure for compliant grasps and fixtures, IEEE Trans. Robotics Autom. 16(6), 675–688 (2000)CrossRef Q. Lin, J.W. Burdick, E. Rimon: A stiffness-based quality measure for compliant grasps and fixtures, IEEE Trans. Robotics Autom. 16(6), 675–688 (2000)CrossRef
37.7
37.8
go back to reference P. Lötstedt: Mechanical systems of rigid bodies subject to unilateral constraints, SIAM J. Appl. Math. 42(2), 281–296 (1982)MathSciNetCrossRef P. Lötstedt: Mechanical systems of rigid bodies subject to unilateral constraints, SIAM J. Appl. Math. 42(2), 281–296 (1982)MathSciNetCrossRef
37.9
go back to reference P.E. Dupont: The effect of Coulomb friction on the existence and uniqueness of the forward dynamics problem, Proc. IEEE Int. Conf. Robotics Autom. (ICRA), Nice (1992) pp. 1442–1447 P.E. Dupont: The effect of Coulomb friction on the existence and uniqueness of the forward dynamics problem, Proc. IEEE Int. Conf. Robotics Autom. (ICRA), Nice (1992) pp. 1442–1447
37.10
go back to reference M.A. Erdmann: On a representation of friction in configuration space, Int. J. Robotics Res. 13(3), 240–271 (1994)CrossRef M.A. Erdmann: On a representation of friction in configuration space, Int. J. Robotics Res. 13(3), 240–271 (1994)CrossRef
37.11
go back to reference K.M. Lynch, M.T. Mason: Pulling by pushing, slip with infinite friction, and perfectly rough surfaces, Int. J. Robotics Res. 14(2), 174–183 (1995)CrossRef K.M. Lynch, M.T. Mason: Pulling by pushing, slip with infinite friction, and perfectly rough surfaces, Int. J. Robotics Res. 14(2), 174–183 (1995)CrossRef
37.12
go back to reference J.S. Pang, J.C. Trinkle: Complementarity formulations and existence of solutions of dynamic multi-rigid-body contact problems with Coulomb friction, Math. Prog. 73, 199–226 (1996)MathSciNetMATHCrossRef J.S. Pang, J.C. Trinkle: Complementarity formulations and existence of solutions of dynamic multi-rigid-body contact problems with Coulomb friction, Math. Prog. 73, 199–226 (1996)MathSciNetMATHCrossRef
37.13
go back to reference J.C. Trinkle, J.S. Pang, S. Sudarsky, G. Lo: On dynamic multi-rigid-body contact problems with Coulomb friction, Z. Angew. Math. Mech. 77(4), 267–279 (1997)MathSciNetMATHCrossRef J.C. Trinkle, J.S. Pang, S. Sudarsky, G. Lo: On dynamic multi-rigid-body contact problems with Coulomb friction, Z. Angew. Math. Mech. 77(4), 267–279 (1997)MathSciNetMATHCrossRef
37.14
37.15
go back to reference Y.-T. Wang, V. Kumar, J. Abel: Dynamics of rigid bodies undergoing multiple frictional contacts, Proc. IEEE Int. Conf. Robotics Autom. (ICRA), Nice (1992) pp. 2764–2769 Y.-T. Wang, V. Kumar, J. Abel: Dynamics of rigid bodies undergoing multiple frictional contacts, Proc. IEEE Int. Conf. Robotics Autom. (ICRA), Nice (1992) pp. 2764–2769
37.16
go back to reference T.H. Speeter: Three-dimensional finite element analysis of elastic continua for tactile sensing, Int. J. Robotics Res. 11(1), 1–19 (1992)CrossRef T.H. Speeter: Three-dimensional finite element analysis of elastic continua for tactile sensing, Int. J. Robotics Res. 11(1), 1–19 (1992)CrossRef
37.17
go back to reference K. Dandekar, A.K. Srinivasan: A 3-dimensional finite element model of the monkey fingertip for predicting responses of slowly adapting mechanoreceptors, ASME Bioeng. Conf., Vol. 29 (1995) pp. 257–258 K. Dandekar, A.K. Srinivasan: A 3-dimensional finite element model of the monkey fingertip for predicting responses of slowly adapting mechanoreceptors, ASME Bioeng. Conf., Vol. 29 (1995) pp. 257–258
37.18
go back to reference N. Xydas, M. Bhagavat, I. Kao: Study of soft-finger contact mechanics using finite element analysis and experiments, Proc. IEEE Int. Conf. Robotics Autom. (ICRA), San Francisco (2000) N. Xydas, M. Bhagavat, I. Kao: Study of soft-finger contact mechanics using finite element analysis and experiments, Proc. IEEE Int. Conf. Robotics Autom. (ICRA), San Francisco (2000)
37.19
go back to reference K. Komvopoulos, D.-H. Choi: Elastic finite element analysis of multi-asperity contacts, J. Tribol. 114, 823–831 (1992)CrossRef K. Komvopoulos, D.-H. Choi: Elastic finite element analysis of multi-asperity contacts, J. Tribol. 114, 823–831 (1992)CrossRef
37.20
go back to reference L.T. Tenek, J. Argyris: Finite Element Analysis for Composite Structures (Kluwer, Bosten 1998)MATHCrossRef L.T. Tenek, J. Argyris: Finite Element Analysis for Composite Structures (Kluwer, Bosten 1998)MATHCrossRef
37.21
go back to reference Y. Nakamura: Contact stability measure and optimal finger force control of multi-fingered robot hands, crossing bridges: Advances in flexible automation and robotics, Proc. U.S.-Jpn. Symp. Flex. Autom. (1988) pp. 523–528 Y. Nakamura: Contact stability measure and optimal finger force control of multi-fingered robot hands, crossing bridges: Advances in flexible automation and robotics, Proc. U.S.-Jpn. Symp. Flex. Autom. (1988) pp. 523–528
37.22
go back to reference Y.C. Park, G.P. Starr: Optimal grasping using a multifingered robot hand, Proc. IEEE Int. Conf. Robotics Autom. (ICRA), Cincinnati (1990) pp. 689–694 Y.C. Park, G.P. Starr: Optimal grasping using a multifingered robot hand, Proc. IEEE Int. Conf. Robotics Autom. (ICRA), Cincinnati (1990) pp. 689–694
37.23
go back to reference E. Rimon, J. Burdick: On force and form closure for multiple finger grasps, Proc. IEEE Int. Conf. Robotics Autom. (ICRA) (1996) pp. 1795–1800CrossRef E. Rimon, J. Burdick: On force and form closure for multiple finger grasps, Proc. IEEE Int. Conf. Robotics Autom. (ICRA) (1996) pp. 1795–1800CrossRef
37.24
go back to reference E. Rimon, J.W. Burdick: New bounds on the number of frictionless fingers required to immobilize planar objects, J. Robotics Sys. 12(6), 433–451 (1995)MATHCrossRef E. Rimon, J.W. Burdick: New bounds on the number of frictionless fingers required to immobilize planar objects, J. Robotics Sys. 12(6), 433–451 (1995)MATHCrossRef
37.25
go back to reference E. Rimon, J.W. Burdick: Mobility of bodies in contact – Part I: A 2nd-order mobility index for multiple-finger grasps, IEEE Trans. Robotics Autom. 14(5), 696–708 (1998)CrossRef E. Rimon, J.W. Burdick: Mobility of bodies in contact – Part I: A 2nd-order mobility index for multiple-finger grasps, IEEE Trans. Robotics Autom. 14(5), 696–708 (1998)CrossRef
37.26
go back to reference D.J. Montana: The kinematics of contact and grasp, Int. J. Robotics Res. 7(3), 17–32 (1988)CrossRef D.J. Montana: The kinematics of contact and grasp, Int. J. Robotics Res. 7(3), 17–32 (1988)CrossRef
37.27
go back to reference C.S. Cai, B. Roth: On the planar motion of rigid bodies with point contact, Mech. Mach. Theory 21(6), 453–466 (1986)CrossRef C.S. Cai, B. Roth: On the planar motion of rigid bodies with point contact, Mech. Mach. Theory 21(6), 453–466 (1986)CrossRef
37.28
go back to reference C. Cai, B. Roth: On the spatial motion of a rigid body with point contact, Proc. IEEE Int. Conf. Robotics Autom. (ICRA) (1987) pp. 686–695 C. Cai, B. Roth: On the spatial motion of a rigid body with point contact, Proc. IEEE Int. Conf. Robotics Autom. (ICRA) (1987) pp. 686–695
37.29
go back to reference A.B.A. Cole, J.E. Hauser, S.S. Sastry: Kinematics and control of multifingered hands with rolling contact, IEEE Trans. Autom. Control 34(4), 398–404 (1989)MathSciNetMATHCrossRef A.B.A. Cole, J.E. Hauser, S.S. Sastry: Kinematics and control of multifingered hands with rolling contact, IEEE Trans. Autom. Control 34(4), 398–404 (1989)MathSciNetMATHCrossRef
37.30
go back to reference R.M. Murray, Z. Li, S.S. Sastry: A Mathematical Introduction to Robotic Manipulation (CRC, Boca Raton 1994)MATH R.M. Murray, Z. Li, S.S. Sastry: A Mathematical Introduction to Robotic Manipulation (CRC, Boca Raton 1994)MATH
37.31
go back to reference F. Reuleaux: The Kinematics of Machinery (Dover, New York 1963), reprint of MacMillan, 1876 F. Reuleaux: The Kinematics of Machinery (Dover, New York 1963), reprint of MacMillan, 1876
37.32
go back to reference C.A. Coulomb: Theorie des Machines Simples en Ayant Egard au Frottement de Leurs Parties et a la Roideur des Cordages (Bachelier, Paris 1821) C.A. Coulomb: Theorie des Machines Simples en Ayant Egard au Frottement de Leurs Parties et a la Roideur des Cordages (Bachelier, Paris 1821)
37.33
go back to reference Y. Maeda, T. Arai: Planning of graspless manipulation by a multifingered robot hand, Adv. Robotics 19(5), 501–521 (2005)CrossRef Y. Maeda, T. Arai: Planning of graspless manipulation by a multifingered robot hand, Adv. Robotics 19(5), 501–521 (2005)CrossRef
37.34
go back to reference M.T. Mason: Two graphical methods for planar contact problems, IEEE/RSJ Int. Conf. Intell. Robots Syst. (IROS), Osaka (1991) pp. 443–448 M.T. Mason: Two graphical methods for planar contact problems, IEEE/RSJ Int. Conf. Intell. Robots Syst. (IROS), Osaka (1991) pp. 443–448
37.35
go back to reference R. Howe, I. Kao, M. Cutkosky: Sliding of robot fingers under combined torsion and shear loading, Proc. IEEE Int. Conf. Robotics Autom. (ICRA), Vol. 1, Philadelphia (1988) pp. 103–105 R. Howe, I. Kao, M. Cutkosky: Sliding of robot fingers under combined torsion and shear loading, Proc. IEEE Int. Conf. Robotics Autom. (ICRA), Vol. 1, Philadelphia (1988) pp. 103–105
37.36
go back to reference I. Kao, M.R. Cutkosky: Dextrous manipulation with compliance and sliding, Int. J. Robotics Res. 11(1), 20–40 (1992)CrossRef I. Kao, M.R. Cutkosky: Dextrous manipulation with compliance and sliding, Int. J. Robotics Res. 11(1), 20–40 (1992)CrossRef
37.37
go back to reference R.D. Howe, M.R. Cutkosky: Practical force-motion models for sliding manipulation, Int. J. Robotics Res. 15(6), 555–572 (1996)CrossRef R.D. Howe, M.R. Cutkosky: Practical force-motion models for sliding manipulation, Int. J. Robotics Res. 15(6), 555–572 (1996)CrossRef
37.38
go back to reference N. Xydas, I. Kao: Modeling of contact mechanics and friction limit surface for soft fingers with experimental results, Int. J. Robotics Res. 18(9), 941–950 (1999)CrossRef N. Xydas, I. Kao: Modeling of contact mechanics and friction limit surface for soft fingers with experimental results, Int. J. Robotics Res. 18(9), 941–950 (1999)CrossRef
37.39
go back to reference I. Kao, F. Yang: Stiffness and contact mechanics for soft fingers in grasping and manipulation, IEEE Trans. Robotics Autom. 20(1), 132–135 (2004)CrossRef I. Kao, F. Yang: Stiffness and contact mechanics for soft fingers in grasping and manipulation, IEEE Trans. Robotics Autom. 20(1), 132–135 (2004)CrossRef
37.40
go back to reference J. Jameson, L. Leifer: Quasi-Static Analysis: A method for predicting grasp stability, Proc. IEEE Int. Conf. Robotics Autom. (ICRA) (1986) pp. 876–883 J. Jameson, L. Leifer: Quasi-Static Analysis: A method for predicting grasp stability, Proc. IEEE Int. Conf. Robotics Autom. (ICRA) (1986) pp. 876–883
37.41
go back to reference S. Goyal, A. Ruina, J. Papadopoulos: Planar sliding with dry friction: Part 2, Dynamics of motion Wear 143, 331–352 (1991) S. Goyal, A. Ruina, J. Papadopoulos: Planar sliding with dry friction: Part 2, Dynamics of motion Wear 143, 331–352 (1991)
37.42
go back to reference P. Tiezzi, I. Kao: Modeling of viscoelastic contacts and evolution of limit surface for robotic contact interface, IEEE Trans. Robotics 23(2), 206–217 (2007)CrossRef P. Tiezzi, I. Kao: Modeling of viscoelastic contacts and evolution of limit surface for robotic contact interface, IEEE Trans. Robotics 23(2), 206–217 (2007)CrossRef
37.43
go back to reference M. Anitescu, F. Potra: Formulating multi-rigid-body contact problems with friction as solvable linear complementarity problems, ASME J. Nonlin. Dyn. 14, 231–247 (1997)MathSciNetMATHCrossRef M. Anitescu, F. Potra: Formulating multi-rigid-body contact problems with friction as solvable linear complementarity problems, ASME J. Nonlin. Dyn. 14, 231–247 (1997)MathSciNetMATHCrossRef
37.44
go back to reference S. Berard, J. Trinkle, B. Nguyen, B. Roghani, J. Fink, V. Kumar: daVinci code: A multi-model simulation and analysis tool for multi-body systems, Proc. IEEE Int. Conf. Robotics Autom. (ICRA) (2007) S. Berard, J. Trinkle, B. Nguyen, B. Roghani, J. Fink, V. Kumar: daVinci code: A multi-model simulation and analysis tool for multi-body systems, Proc. IEEE Int. Conf. Robotics Autom. (ICRA) (2007)
37.45
go back to reference P. Song, J.-S. Pang, V. Kumar: A semi-implicit time-stepping model for frictional compliant contact problems, Int. J. Numer. Methods Eng. 60(13), 2231–2261 (2004)MathSciNetMATHCrossRef P. Song, J.-S. Pang, V. Kumar: A semi-implicit time-stepping model for frictional compliant contact problems, Int. J. Numer. Methods Eng. 60(13), 2231–2261 (2004)MathSciNetMATHCrossRef
37.46
go back to reference D. Stewart, J. Trinkle: An implicit time-stepping scheme for rigid body dynamics with inelastic collisions and Coulomb friction, Int. J. Numer. Methods Eng. 39, 2673–2691 (1996)MathSciNetMATHCrossRef D. Stewart, J. Trinkle: An implicit time-stepping scheme for rigid body dynamics with inelastic collisions and Coulomb friction, Int. J. Numer. Methods Eng. 39, 2673–2691 (1996)MathSciNetMATHCrossRef
37.47
go back to reference R.W. Cottle, J.-S. Pang, R.E. Stone: The Linear Complementarity Problem (Academic, New York 1992)MATH R.W. Cottle, J.-S. Pang, R.E. Stone: The Linear Complementarity Problem (Academic, New York 1992)MATH
37.48
go back to reference S.N. Simunovic: Force information in assembly processes, Int. Symp. Ind. Robots (1975) S.N. Simunovic: Force information in assembly processes, Int. Symp. Ind. Robots (1975)
37.49
go back to reference V.-D. Nguyen: Constructing force-closure grasps, Int. J. Robotics Res. 7(3), 3–16 (1988)CrossRef V.-D. Nguyen: Constructing force-closure grasps, Int. J. Robotics Res. 7(3), 3–16 (1988)CrossRef
37.50
go back to reference K.M. Lynch: Toppling manipulation, Proc. IEEE Int. Conf. Robotics Autom. (ICRA) (1999) K.M. Lynch: Toppling manipulation, Proc. IEEE Int. Conf. Robotics Autom. (ICRA) (1999)
37.51
go back to reference M.T. Zhang, K. Goldberg, G. Smith, R.-P. Berretty, M. Overmars: Pin design for part feeding, Robotica 19(6), 695–702 (2001)CrossRef M.T. Zhang, K. Goldberg, G. Smith, R.-P. Berretty, M. Overmars: Pin design for part feeding, Robotica 19(6), 695–702 (2001)CrossRef
37.52
go back to reference D. Reznik, J. Canny: The Coulomb pump: A novel parts feeding method using a horizontally-vibrating surface, Proc. IEEE Int. Conf. Robotics Autom. (1998) pp. 869–874 D. Reznik, J. Canny: The Coulomb pump: A novel parts feeding method using a horizontally-vibrating surface, Proc. IEEE Int. Conf. Robotics Autom. (1998) pp. 869–874
37.53
go back to reference A.E. Quaid: A miniature mobile parts feeder: Operating principles and simulation results, Proc. IEEE Int. Conf. Robotics Autom. (ICRA) (1999) pp. 2221–2226 A.E. Quaid: A miniature mobile parts feeder: Operating principles and simulation results, Proc. IEEE Int. Conf. Robotics Autom. (ICRA) (1999) pp. 2221–2226
37.54
go back to reference D. Reznik, J. Canny: A flat rigid plate is a universal planar manipulator, Proc. IEEE Int. Conf. Robotics Autom. (ICRA) (1998) pp. 1471–1477 D. Reznik, J. Canny: A flat rigid plate is a universal planar manipulator, Proc. IEEE Int. Conf. Robotics Autom. (ICRA) (1998) pp. 1471–1477
37.55
go back to reference D. Reznik, J. Canny: C'mon part, do the local motion!, Proc. IEEE Int. Conf. Robotics Autom. (ICRA) (2001) pp. 2235–2242 D. Reznik, J. Canny: C'mon part, do the local motion!, Proc. IEEE Int. Conf. Robotics Autom. (ICRA) (2001) pp. 2235–2242
37.56
go back to reference T. Vose, P. Umbanhowar, K.M. Lynch: Vibration-induced frictional force fields on a rigid plate, Proc. IEEE Int. Conf. Robotics Autom. (ICRA) (2007) T. Vose, P. Umbanhowar, K.M. Lynch: Vibration-induced frictional force fields on a rigid plate, Proc. IEEE Int. Conf. Robotics Autom. (ICRA) (2007)
37.57
go back to reference M.T. Mason: Mechanics and planning of manipulator pushing operations, Int. J. Robotics Res. 5(3), 53–71 (1986)CrossRef M.T. Mason: Mechanics and planning of manipulator pushing operations, Int. J. Robotics Res. 5(3), 53–71 (1986)CrossRef
37.59
go back to reference R.C. Brost: Automatic grasp planning in the presence of uncertainty, Int. J. Robotics Res. 7(1), 3–17 (1988)CrossRef R.C. Brost: Automatic grasp planning in the presence of uncertainty, Int. J. Robotics Res. 7(1), 3–17 (1988)CrossRef
37.60
go back to reference J.C. Alexander, J.H. Maddocks: Bounds on the friction-dominated motion of a pushed object, Int. J. Robotics Res. 12(3), 231–248 (1993)CrossRef J.C. Alexander, J.H. Maddocks: Bounds on the friction-dominated motion of a pushed object, Int. J. Robotics Res. 12(3), 231–248 (1993)CrossRef
37.61
go back to reference M.A. Peshkin, A.C. Sanderson: The motion of a pushed, sliding workpiece,, IEEE J. Robotics Autom. 4(6), 569–598 (1988)CrossRef M.A. Peshkin, A.C. Sanderson: The motion of a pushed, sliding workpiece,, IEEE J. Robotics Autom. 4(6), 569–598 (1988)CrossRef
37.62
go back to reference M.A. Peshkin, A.C. Sanderson: Planning robotic manipulation strategies for workpieces that slide, IEEE J. Robotics Autom. 4(5), 524–531 (1988)CrossRef M.A. Peshkin, A.C. Sanderson: Planning robotic manipulation strategies for workpieces that slide, IEEE J. Robotics Autom. 4(5), 524–531 (1988)CrossRef
37.63
go back to reference M. Brokowski, M. Peshkin, K. Goldberg: Curved fences for part alignment, Proc. IEEE Int. Conf. Robotics Autom. (ICRA), Atlanta (1993) pp. 467–473 M. Brokowski, M. Peshkin, K. Goldberg: Curved fences for part alignment, Proc. IEEE Int. Conf. Robotics Autom. (ICRA), Atlanta (1993) pp. 467–473
37.64
go back to reference K.M. Lynch: The mechanics of fine manipulation by pushing, Proc. IEEE Int. Conf. Robotics Autom. (ICRA), Nice (1992) pp. 2269–2276 K.M. Lynch: The mechanics of fine manipulation by pushing, Proc. IEEE Int. Conf. Robotics Autom. (ICRA), Nice (1992) pp. 2269–2276
37.65
go back to reference K.M. Lynch, M.T. Mason: Stable pushing: Mechanics, controllability, and planning, Int. J. Robotics Res. 15(6), 533–556 (1996)CrossRef K.M. Lynch, M.T. Mason: Stable pushing: Mechanics, controllability, and planning, Int. J. Robotics Res. 15(6), 533–556 (1996)CrossRef
37.66
go back to reference K. Harada, J. Nishiyama, Y. Murakami, M. Kaneko: Pushing multiple objects using equivalent friction center, Proc. IEEE Int. Conf. Robotics Autom. (ICRA) (2002) pp. 2485–2491 K. Harada, J. Nishiyama, Y. Murakami, M. Kaneko: Pushing multiple objects using equivalent friction center, Proc. IEEE Int. Conf. Robotics Autom. (ICRA) (2002) pp. 2485–2491
37.67
go back to reference J.D. Bernheisel, K.M. Lynch: Stable transport of assemblies: Pushing stacked parts, IEEE Trans. Autom. Sci. Eng. 1(2), 163–168 (2004)CrossRef J.D. Bernheisel, K.M. Lynch: Stable transport of assemblies: Pushing stacked parts, IEEE Trans. Autom. Sci. Eng. 1(2), 163–168 (2004)CrossRef
37.68
go back to reference J.D. Bernheisel, K.M. Lynch: Stable transport of assemblies by pushing, IEEE Trans. Robotics 22(4), 740–750 (2006)CrossRef J.D. Bernheisel, K.M. Lynch: Stable transport of assemblies by pushing, IEEE Trans. Robotics 22(4), 740–750 (2006)CrossRef
37.69
go back to reference H. Mayeda, Y. Wakatsuki: Strategies for pushing a 3D block along a wall, IEEE/RSJ Int. Conf. Intell. Robots Syst. (IROS), Osaka (1991) pp. 461–466 H. Mayeda, Y. Wakatsuki: Strategies for pushing a 3D block along a wall, IEEE/RSJ Int. Conf. Intell. Robots Syst. (IROS), Osaka (1991) pp. 461–466
37.70
go back to reference H. Hertz: On the Contact of Rigid Elastic Solids and on Hardness. In: Miscellaneous Papers, ed. by H. Hertz (MacMillan, London 1882) pp. 146–183 H. Hertz: On the Contact of Rigid Elastic Solids and on Hardness. In: Miscellaneous Papers, ed. by H. Hertz (MacMillan, London 1882) pp. 146–183
37.72
go back to reference S.P. Timoshenko, J.N. Goodier: Theory of Elasticity, 3rd edn. (McGraw-Hill, New York 1970)MATH S.P. Timoshenko, J.N. Goodier: Theory of Elasticity, 3rd edn. (McGraw-Hill, New York 1970)MATH
37.73
go back to reference M.A. Meyers, K.K. Chawla: Mechanical Behavior of Materials (Prentice Hall, Upper Saddle River, 1999)MATH M.A. Meyers, K.K. Chawla: Mechanical Behavior of Materials (Prentice Hall, Upper Saddle River, 1999)MATH
37.74
go back to reference C.D. Tsai: Nonlinear Modeling on Viscoelastic Contact Interface: Theoretical Study and Experimental Validation, Ph.D. Thesis (Stony Brook University, Stony Brook 2010) C.D. Tsai: Nonlinear Modeling on Viscoelastic Contact Interface: Theoretical Study and Experimental Validation, Ph.D. Thesis (Stony Brook University, Stony Brook 2010)
37.75
go back to reference C. Tsai, I. Kao, M. Higashimori, M. Kaneko: Modeling, sensing and interpretation of viscoelastic contact interface, J. Adv. Robotics 26(11/12), 1393–1418 (2012)CrossRef C. Tsai, I. Kao, M. Higashimori, M. Kaneko: Modeling, sensing and interpretation of viscoelastic contact interface, J. Adv. Robotics 26(11/12), 1393–1418 (2012)CrossRef
37.76
go back to reference Y.C. Fung: Biomechanics: Mechanical Properties of Living Tissues (Springer, Berlin, Heidelberg 1993)CrossRef Y.C. Fung: Biomechanics: Mechanical Properties of Living Tissues (Springer, Berlin, Heidelberg 1993)CrossRef
37.77
37.78
go back to reference J.C. Maxwell: On the dynamical theory of gases, Philos. Trans. R. Soc. Lond. 157, 49–88 (1867) J.C. Maxwell: On the dynamical theory of gases, Philos. Trans. R. Soc. Lond. 157, 49–88 (1867)
37.79
go back to reference N. Sakamoto, M. Higashimori, T. Tsuji, M. Kaneko: An optimum design of robotic hand for handling a visco-elastic object based on maxwell model, Proc. IEEE Int. Conf. Robotics Autom. (ICRA) (2007) pp. 1219–1225 N. Sakamoto, M. Higashimori, T. Tsuji, M. Kaneko: An optimum design of robotic hand for handling a visco-elastic object based on maxwell model, Proc. IEEE Int. Conf. Robotics Autom. (ICRA) (2007) pp. 1219–1225
37.80
go back to reference D.P. Noonan, H. Liu, Y.H. Zweiri, K.A. Althoefer, L.D. Seneviratne: A dual-function wheeled probe for tissue viscoelastic property indentification during minimally invasive surgery, Proc. IEEE Int. Conf. Robotics Autom. (ICRA) (2007) pp. 2629–2634 D.P. Noonan, H. Liu, Y.H. Zweiri, K.A. Althoefer, L.D. Seneviratne: A dual-function wheeled probe for tissue viscoelastic property indentification during minimally invasive surgery, Proc. IEEE Int. Conf. Robotics Autom. (ICRA) (2007) pp. 2629–2634
37.81
go back to reference P. Tiezzi, I. Kao: Characteristics of contact and limit surface for viscoelastic fingers, Proc. IEEE Int. Conf. Robotics Autom. (ICRA), Orlando (2006) pp. 1365–1370 P. Tiezzi, I. Kao: Characteristics of contact and limit surface for viscoelastic fingers, Proc. IEEE Int. Conf. Robotics Autom. (ICRA), Orlando (2006) pp. 1365–1370
37.82
go back to reference P. Tiezzi, I. Kao, G. Vassura: Effect of layer compliance on frictional behavior of soft robotic fingers, Adv. Robotics 21(14), 1653–1670 (2007)CrossRef P. Tiezzi, I. Kao, G. Vassura: Effect of layer compliance on frictional behavior of soft robotic fingers, Adv. Robotics 21(14), 1653–1670 (2007)CrossRef
37.83
go back to reference M. Kimura, Y. Sugiyama, S. Tomokuni, S. Hirai: Constructing rheologically deformable virtual objects, Proc. IEEE Int. Conf. Robotics Autom. (ICRA) (2003) pp. 3737–3743 M. Kimura, Y. Sugiyama, S. Tomokuni, S. Hirai: Constructing rheologically deformable virtual objects, Proc. IEEE Int. Conf. Robotics Autom. (ICRA) (2003) pp. 3737–3743
37.84
go back to reference W.N. Findley, J.S.Y. Lay: A modified superposition principle applied to creep of non-linear viscoelastic material under abrupt changes in state of combined stress, Trans. Soc. Rheol. 11(3), 361–380 (1967)CrossRef W.N. Findley, J.S.Y. Lay: A modified superposition principle applied to creep of non-linear viscoelastic material under abrupt changes in state of combined stress, Trans. Soc. Rheol. 11(3), 361–380 (1967)CrossRef
37.85
go back to reference D.B. Adolf, R.S. Chambers, J. Flemming: Potential energy clock model: Justification and challenging predictions, J. Rheol. 51(3), 517–540 (2007)CrossRef D.B. Adolf, R.S. Chambers, J. Flemming: Potential energy clock model: Justification and challenging predictions, J. Rheol. 51(3), 517–540 (2007)CrossRef
37.86
go back to reference A.Z. Golik, Y.F. Zabashta: A molecular model of creep and stress relaxation in crystalline polymers, Polym. Mech. 7(6), 864–869 (1971)CrossRef A.Z. Golik, Y.F. Zabashta: A molecular model of creep and stress relaxation in crystalline polymers, Polym. Mech. 7(6), 864–869 (1971)CrossRef
37.87
go back to reference B.H. Zimm: Dynamics of polymer molecules in dilute solution: Viscoelasticity, flow birefringence and dielectric loss, J. Chem. Phys. 24(2), 269–278 (1956)MathSciNetCrossRef B.H. Zimm: Dynamics of polymer molecules in dilute solution: Viscoelasticity, flow birefringence and dielectric loss, J. Chem. Phys. 24(2), 269–278 (1956)MathSciNetCrossRef
37.88
go back to reference T. Alfrey: A molecular theory of the viscoelastic behavior of an amorphous linear polymer, J. Chem. Phys. 12(9), 374–379 (1944)CrossRef T. Alfrey: A molecular theory of the viscoelastic behavior of an amorphous linear polymer, J. Chem. Phys. 12(9), 374–379 (1944)CrossRef
37.89
go back to reference P.E. Rouse Jr.: A theory of the linear viscoelastic properties of dilute solutions of coiling polymers, J. Chem. Phys. 21(7), 1272–1280 (1953)CrossRef P.E. Rouse Jr.: A theory of the linear viscoelastic properties of dilute solutions of coiling polymers, J. Chem. Phys. 21(7), 1272–1280 (1953)CrossRef
37.90
go back to reference F. Bueche: The viscoelastic properties of plastics, J. Chem. Phys. 22(4), 603–609 (1954)CrossRef F. Bueche: The viscoelastic properties of plastics, J. Chem. Phys. 22(4), 603–609 (1954)CrossRef
37.91
go back to reference L.R.G. Treloar: The Physics of Rubber Elasticity (Clarendon Press, Oxford, 1975) L.R.G. Treloar: The Physics of Rubber Elasticity (Clarendon Press, Oxford, 1975)
37.92
go back to reference T.G. Goktekin, A.W. Bargteil, J.F. O'Brien: A method for animating viscoelastic fluid, ACM Trans. Graph. 23(3), 463–468 (1977)CrossRef T.G. Goktekin, A.W. Bargteil, J.F. O'Brien: A method for animating viscoelastic fluid, ACM Trans. Graph. 23(3), 463–468 (1977)CrossRef
37.93
go back to reference S. Arimoto, P.A.N. Nguyen, H.Y. Han, Z. Doulgeri: Dynamics and control of a set of dual fingers with soft tips, Robotica 18, 71–80 (2000)CrossRef S. Arimoto, P.A.N. Nguyen, H.Y. Han, Z. Doulgeri: Dynamics and control of a set of dual fingers with soft tips, Robotica 18, 71–80 (2000)CrossRef
37.94
go back to reference T. Inoue, S. Hirai: Modeling of soft fingertip for object manipulation using tactile sensig, Proc. IEEE/RSJ Int. Conf. Intell. Robots Syst. (IROS), Las Vegas, Nevada (2003) T. Inoue, S. Hirai: Modeling of soft fingertip for object manipulation using tactile sensig, Proc. IEEE/RSJ Int. Conf. Intell. Robots Syst. (IROS), Las Vegas, Nevada (2003)
37.95
go back to reference T. Inoue, S. Hirai: Rotational contact model of soft fingertip for tactile sensing, Proc. IEEE Int. Conf. Robotics Autom. (ICRA) (2004) pp. 2957–2962 T. Inoue, S. Hirai: Rotational contact model of soft fingertip for tactile sensing, Proc. IEEE Int. Conf. Robotics Autom. (ICRA) (2004) pp. 2957–2962
37.96
go back to reference T. Inoue, S. Hirai: Elastic model of deformable fingertip for soft-fingered manipulation, IEEE Trans. Robotics 22, 1273–1279 (2006)CrossRef T. Inoue, S. Hirai: Elastic model of deformable fingertip for soft-fingered manipulation, IEEE Trans. Robotics 22, 1273–1279 (2006)CrossRef
37.97
go back to reference T. Inoue, S. Hirai: Dynamic stable manipulation via soft-fingered hand, Proc. IEEE Int. Conf. Robotics Autom. (ICRA) (2007) pp. 586–591 T. Inoue, S. Hirai: Dynamic stable manipulation via soft-fingered hand, Proc. IEEE Int. Conf. Robotics Autom. (ICRA) (2007) pp. 586–591
37.98
go back to reference V.A. Ho, D.V. Dat, S. Sugiyama, S. Hirai: Development and analysis of a sliding tactile soft fingertip embedded with a microforce/moment sensor, IEEE Trans. Robotics 27(3), 411–424 (2011)CrossRef V.A. Ho, D.V. Dat, S. Sugiyama, S. Hirai: Development and analysis of a sliding tactile soft fingertip embedded with a microforce/moment sensor, IEEE Trans. Robotics 27(3), 411–424 (2011)CrossRef
37.99
go back to reference D. Turhan, Y. Mengi: Propagation of initially plane waves in nonhomogeneous viscoelastic media, Int. J. Solids Struct. 13(2), 79–92 (1977)MathSciNetMATHCrossRef D. Turhan, Y. Mengi: Propagation of initially plane waves in nonhomogeneous viscoelastic media, Int. J. Solids Struct. 13(2), 79–92 (1977)MathSciNetMATHCrossRef
37.100
go back to reference P. Stucky, W. Lord: Finite element modeling of transient ultrasonic waves in linear viscoelastic media, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 48(1), 6–16 (2001)CrossRef P. Stucky, W. Lord: Finite element modeling of transient ultrasonic waves in linear viscoelastic media, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 48(1), 6–16 (2001)CrossRef
37.101
go back to reference J.M. Pereira, J.J. Mansour, B.R. Davis: Dynamic measurement of the viscoelastic properties of skin, J. Biomech. 24(2), 157–162 (1991)CrossRef J.M. Pereira, J.J. Mansour, B.R. Davis: Dynamic measurement of the viscoelastic properties of skin, J. Biomech. 24(2), 157–162 (1991)CrossRef
37.102
go back to reference R. Fowles, R.F. Williams: Plane stress wave propagation in solids, J. Appl. Phys. 41(1), 360–363 (1970)CrossRef R. Fowles, R.F. Williams: Plane stress wave propagation in solids, J. Appl. Phys. 41(1), 360–363 (1970)CrossRef
37.103
go back to reference E. Wolf: Progress in Optics (North-Holland, Amsterdam 1992) E. Wolf: Progress in Optics (North-Holland, Amsterdam 1992)
37.104
go back to reference E.J. Nicolson, R.S. Fearing: The reliability of curvature estimates from linear elastic tactile sensors, Proc. IEEE Int. Conf. Robotics Autom. (ICRA) (1995) E.J. Nicolson, R.S. Fearing: The reliability of curvature estimates from linear elastic tactile sensors, Proc. IEEE Int. Conf. Robotics Autom. (ICRA) (1995)
37.105
go back to reference M. Abramowitz, I. Stegun: Handbook of Mathematical Functions with Formulas, Graphs, and mathematical Tables, 7th edn. (Dover, New York 1972)MATH M. Abramowitz, I. Stegun: Handbook of Mathematical Functions with Formulas, Graphs, and mathematical Tables, 7th edn. (Dover, New York 1972)MATH
37.106
go back to reference I. Kao, S.-F. Chen, Y. Li, G. Wang: Application of bio-engineering contact interface and MEMS in robotic and human augmented systems, IEEE Robotics Autom, Mag. 10(1), 47–53 (2003) I. Kao, S.-F. Chen, Y. Li, G. Wang: Application of bio-engineering contact interface and MEMS in robotic and human augmented systems, IEEE Robotics Autom, Mag. 10(1), 47–53 (2003)
37.107
go back to reference S. Goyal, A. Ruina, J. Papadopoulos: Planar sliding with dry friction: Part 1. Limit surface and moment function, Wear 143, 307–330 (1991)CrossRef S. Goyal, A. Ruina, J. Papadopoulos: Planar sliding with dry friction: Part 1. Limit surface and moment function, Wear 143, 307–330 (1991)CrossRef
37.108
go back to reference J.W. Jameson: Analytic Techniques for Automated Grasp. Ph.D. Thesis (Department of Mechanical Engineering, Stanford University, Stanford 1985) J.W. Jameson: Analytic Techniques for Automated Grasp. Ph.D. Thesis (Department of Mechanical Engineering, Stanford University, Stanford 1985)
37.109
go back to reference S. Goyal, A. Ruina, J. Papadopoulos: Limit surface and moment function description of planar sliding, Proc. IEEE Int. Conf. Robotics Autom. (ICRA), Scottsdale (1989) pp. 794–799 S. Goyal, A. Ruina, J. Papadopoulos: Limit surface and moment function description of planar sliding, Proc. IEEE Int. Conf. Robotics Autom. (ICRA), Scottsdale (1989) pp. 794–799
37.110
go back to reference K.M. Lynch, M.T. Mason: Dynamic nonprehensile manipulation: Controllability, planning, and experiments, Int. J. Robotics Res. 18(1), 64–92 (1999)CrossRef K.M. Lynch, M.T. Mason: Dynamic nonprehensile manipulation: Controllability, planning, and experiments, Int. J. Robotics Res. 18(1), 64–92 (1999)CrossRef
37.111
go back to reference A.J. Goldman, A.W. Tucker: Polyhedral convex cones. In: Linear Inequalities and Related Systems, ed. by H.W. Kuhn, A.W. Tucker (Princeton Univ. Press, Princeton 1956) A.J. Goldman, A.W. Tucker: Polyhedral convex cones. In: Linear Inequalities and Related Systems, ed. by H.W. Kuhn, A.W. Tucker (Princeton Univ. Press, Princeton 1956)
37.112
go back to reference M.A. Erdman: A configuration space friction cone, IEEE/RSJ Int. Conf. Intell. Robots Syst. (IROS), Osaka (1991) pp. 455–460 M.A. Erdman: A configuration space friction cone, IEEE/RSJ Int. Conf. Intell. Robots Syst. (IROS), Osaka (1991) pp. 455–460
37.113
go back to reference M.A. Erdmann: Multiple-point contact with friction: Computing forces and motions in configuration space, IEEE/RSJ Int. Conf. Intell. Robots Syst. (IROS), Yokohama (1993) pp. 163–170 M.A. Erdmann: Multiple-point contact with friction: Computing forces and motions in configuration space, IEEE/RSJ Int. Conf. Intell. Robots Syst. (IROS), Yokohama (1993) pp. 163–170
37.114
go back to reference S. Hirai, H. Asada: Kinematics and statics of manipulation using the theory of polyhedral convex cones, Int. J. Robotics Res. 12(5), 434–447 (1993)CrossRef S. Hirai, H. Asada: Kinematics and statics of manipulation using the theory of polyhedral convex cones, Int. J. Robotics Res. 12(5), 434–447 (1993)CrossRef
37.115
go back to reference R.S. Ball: The Theory of Screws (Cambridge Univ. Press, Cambridge 1900)MATH R.S. Ball: The Theory of Screws (Cambridge Univ. Press, Cambridge 1900)MATH
37.116
go back to reference K.H. Hunt: Kinematic Geometry of Mechanisms (Oxford Univ. Press, Oxford 1978)MATH K.H. Hunt: Kinematic Geometry of Mechanisms (Oxford Univ. Press, Oxford 1978)MATH
37.117
go back to reference J.K. Davidson, K.H. Hunt: Robots and Screw Theory (Oxford Univ. Press, Oxford 2004)MATH J.K. Davidson, K.H. Hunt: Robots and Screw Theory (Oxford Univ. Press, Oxford 2004)MATH
37.118
go back to reference J.M. Selig: Geometric Fundamentals of Robotics, 2nd edn. (Springer, Berlin, Heidelberg 2005)MATH J.M. Selig: Geometric Fundamentals of Robotics, 2nd edn. (Springer, Berlin, Heidelberg 2005)MATH
Metadata
Title
Contact Modeling and Manipulation
Authors
Imin Kao
Kevin M. Lynch
Joel W. Burdick
Copyright Year
2016
Publisher
Springer International Publishing
DOI
https://doi.org/10.1007/978-3-319-32552-1_37