Constraints in structural and rigid body mechanics: a frictional contact problem
Tóm tắt
Từ khóa
Tài liệu tham khảo
Acary V, Brogliato B (2008) Numerical methods for nonsmooth dynamical systems: applications in mechanics and electronics. Lecture notes in applied and computational mechanics, vol 35. Springer, Berlin
Alart P, Curnier A (1991) A mixed formulation for frictional contact problems prone to Newton like solution methods. Comput Methods Appl Mech Eng 92:353–375
Antman SS (1981) Material constraints in continuum mechanics. Atti Della Accademia Nazionale dei Lincei, Rendiconti, Classe di Scienze Fisiche, Matematiche e Naturali 70(8):256–264
Antman SS (2005) Nonlinear problems of elasticity, applied mathematical sciences, vol 107, 2nd edn. Springer, New York
Antman SS, Marlow RS (1991) Material constraints, Lagrange multipliers, and compatibility. Applications to rod and shell theories. Arch Ration Mech Anal 116:257–299
Ballard P, Millard A (2009) Poutres et arcs élastiques. Les Éditions de l’École Polytechnique
Bertails F, Audoly B, Cani MP, Querleux B, Leroy F, Lévêque JL (2006) Super-helices for predicting the dynamics of natural hair. In: ACM transactions on graphics (proceedings of the ACM SIGGRAPH ’06 conference), ACM, pp 1180–1187
Bertails-Descoubes F, Cadoux F, Daviet G, Acary V (2011) A nonsmooth newton solver for capturing exact coulomb friction in fiber assemblies. ACM Trans Graph 30(1):6–1614
Biot M (1974) Non-linear thermoelasticity, irreversible thermodynamics and elastic instability. Indiana Univ Math J 23:309–335
Brogliato B, Ten Dam A, Paoli L, Génot F, Abadie M (2002) Numerical simulation of finite dimensional multibody nonsmooth mechanical systems. Appl Mech Rev 55:107
Chamekh M, Mani-Aouadi S, Moakher M (2009) Modeling and numerical treatment of elastic rods with frictionless self-contact. Comput Methods Appl Mech Eng 198(47–48):3751–3764
Cho YH (2008) Numerical simulation of the dynamic responses of railway overhead contact lines to a moving pantograph, considering a nonlinear dropper. J Sound Vib 315(3):433–454
Collina A, Bruni S (2002) Numerical simulation of pantograph-overhead equipment interaction. Veh Syst Dyn 38(4):261–291
Dufva K, Kerkkänen K, Maqueda L, Shabana A (2007) Nonlinear dynamics of three-dimensional belt drives using the finite-element method. Nonlinear Dyn 48:449–466
Eugster SR (2009) Dynamics of an elevator: 2-dimensional modeling and simulation. Master’s thesis, ETH Zurich
Frémond M (1989) Internal constraints and constitutive laws. In: Rodrigues JF (ed) Mathematical models for phase change problems. pp 3–18
Frémond M (2001) Internal constraints in mechanics. Philos Trans R Soc Lond A: Math Phys Eng Sci 359(1789):2309–2326
Frémond M, Gormaz R, San Martín JA (2003) Collision of a solid with an incompressible fluid. Theoret Comput Fluid Dyn 16:405–420
Glocker Ch (2001) Set-valued force laws, dynamics of non-smooth systems. Lecture notes in applied mechanics, vol 1. Springer, Berlin
Glocker Ch (2006a) An introduction to impacts. In: Haslinger J, Stavroulakis G (eds) Nonsmooth mechanics of solids. CISM courses and lectures, vol 485. Springer, Wien, pp 45–101
Glocker Ch (2006b) Simulation von harten Kontakten mit Reibung: Eine iterative Projektionsmethode. In: VDI-Berichte No. 1968: Schwingungen in Antrieben 2006 Tagung, Fulda, VDI Verlag, Düsseldorf, vol 1968
Goyal S, Perkins N, Lee CL (2008) Non-linear dynamic intertwining of rods with self-contact. Int J Non-Linear Mech 43(1):65–73
Kerkkänen K, García-Vallejo D, Mikkola A (2006) Modeling of belt-drives using a large deformation finite element formulation. Nonlinear Dyn 43:239–256
Leine RI, Nijmeijer H (2004) Dynamics and bifurcations of non-smooth mechanical systems. Lecture notes in applied and computational mechanics, vol 18. Springer, Berlin
Möller M (2012) Consistent integrators for non-smooth dynamical systems. PhD thesis, ETH Zurich
Moreau JJ (1985) Standard inelastic shocks and the dynamics of unilateral constraints. In: Del Piero G, Maceri F (eds) Unilateral problems in structural analysis. Proceedings of the second meeting on unilateral problems in structural analysis ravello, September 22–24, 1983, pp 173–221
Moreau JJ (1988a) Bounded variation in time. In: Moreau JJ, Panagiotopoulos PD, Strang G (eds) Topics in nonsmooth mechanics. Birkhäuser Verlag, Basel, pp 1–74
Moreau JJ (1988b) Unilateral contact and dry friction in finite freedom dynamics. In: Moreau JJ, Panagiotopoulos PD (eds) Non-smooth mechanics and applications CISM courses and lectures. Springer, Wien, pp 1–82
Moreau JJ (2003) Fonctionnelles convexes, Séminaire sur les équations aux dérivées partielles, Collège de France, 1966, et Edizioni del Dipartimento di Ingeneria Civile dell’Università di Roma Tor Vergata, Roma
Papastavridis JG (2002) Analytical mechanics: a comprehensive treatise on the dynamics of constrained systems: for engineers, physicists, and mathematicians. Oxford University Press, Oxford
Rajagopal KR, Srinivasa AR (2005) On the nature of constraints for continua undergoing dissipative processes. Proc R Soc A: Math Phys Eng Sci 461(2061):2785–2795
Rauter FG, Pombo J, Ambrósio J, Pereira M (2007) Multibody modeling of pantographs for pantograph-catenary interaction. In: Eberhard P (ed) IUTAM symposium on multiscale problems in multibody system contacts, IUTAM bookseries, vol 1. Springer, Dordrecht, pp 205–226
Rockafellar R (1970) Convex analysis. Princeton mathematical series. Princeton University Press, Princeton, NJ
Romano G, Sacco E (1987) Convex problems in structural mechanics. In: Del Piero G, Maceri F (eds) Unilateral problems in structural analysis-2: proceedings of the second meeting on unilateral problems in structural analysis prescudin, June 17–20, 1985, pp 279–297
Rubin MB (2000) Cosserat theories: shells, rods, and points. Solid mechanics and its applications. Kluwer Academic Publishers, Dordrecht
Salençon J (2001) Handbook of continuum mechanics: general concepts, thermoelasticity. Physics and astronomy online library. Springer, Berlin
Studer C (2009) Numerics of unilateral contacts and friction: modeling and numerical time integration in non-smooth dynamics. Lecture notes in applied and computational mechanics, vol 47. Springer, Berlin
Truesdell C, Noll W (2003) The non-linear field theories of mechanics, 3rd edn. Springer, Berlin
Yi L, Ji-Shun L, Guo-Ding C, Yu-Jun X, Ming-De D (2010) Multibody dynamics modeling of friction winder systems using absolute nodal coordination formulation. In: Huang G, Mak K, Maropoulos P (eds) Proceedings of the 6th CIRP-sponsored international conference on digital enterprise technology, advances in intelligent and soft computing, vol 66. Springer, Berlin, Heidelberg, pp 533–546