Vibrations with Collisions of a Mechanical …
73
10. P. Flores, J. Ambrósio, J.C.P. Claro, H.M. Lankarani, Influence of the contact-impact force
model on the dynamic response of multi-body systems. Proc. Inst. Mech. Eng. Part K J. Multibody Dyn. 220(1), 21–34 (2006)
11. Glocker, C.: Energetic consistency conditions for standard impacts. Part I: Newton-type
inequality impact laws. Multibody System Dynamics 29, 77–117 (2013)
12. C. Glocker, Energetic consistency conditions for standard impacts. Part II: Poisson-type
inequality impact laws. Multibody Syst. Dyn. 32, 445–509 (2014)
13. D.J. Inman, Engineering Vibration, 4th edn. (Pearson Education, New Jersey, 2013)
14. M.G. Kapoulitsas, On the collision of rigid bodies. J. Appl.Math. Phys. (ZAMP) 46, 709–723
(1995)
15. J.B. Keller, Impact with friction. ASME J. Appl. Mech. 53(1), 1–4 (1986)
16. H.M. Lankarani, M.F.O.S. Pereira, Treatment of impact with friction in planar multibody
mechanical systems. Multibody Syst. Dyn. 6(3), 203–227 (2001)
17. B.D. Marghitu, Y. Hurmuzlu, Three-dimensional rigid body collisions with multiple contact
points. ASME J. Appl. Mech. 62(3), 725–732 (1995)
18. L. Meirovitch, Fundamentals of Vibrations, 2nd edn. (Waveland Press, Long Grove, 2010)
19. N. Pandrea, On the collisions of solids. Stud. Res. Appl. Mech. 40(2), 117–131 (1990)
20. N. Pandrea, Elements of the Mechanics of Solid Rigid in Plückerian Coordinates (The
Publishing House of the Romanian Academy, Bucharest, 2000)
21. N. Pandrea, About collisions of two solids with constraints. Revue Romaine des Sciences
Techniques, série de Méchanique Appliquée 49(1), 1–6 (2004)
22. N. Pandrea, N.D. St˘ anescu, A new approach in the study of frictionless collisions using
inertances. Proc. Int. Inst. Mech. Eng. Part C J. Mech. Eng. Sci. 229(12), 2144–2157 (2015)
23. N. Pandrea, N.D. St˘ anescu, A new approach in the study of frictionless collisions using
inertances. Proc. Int. Inst. Mech. Eng. Part C J. Mech. Eng. Sci. 233(3), 817–834 (2015)
24. E. Pennestri, P.P. Valentini, L. Vita, Dynamic analysis of intermittent-motion mechanisms
through the combined use of gauss principle and logical functions, in IUTAM Symposium on
Multiscale Problems in Multibody System Contacts Stuttgart February 2006, IUITAM Book
series, ed. by P. Eberhard (Springer, Heidelberg, 2006), pp. 195–204
25. F. Pfeiffer, On impact with friction. Appl. Math. Comput. 217(3), 1184–1192 (2010)
26. N.D. St˘ anescu, L. Munteanu, V. Chiroiu, N. Pandrea, Dynamical Systems. Theory and
Applications (The Publishing House of the Romanian Academy, Bucharest, 2007)
27. J.W. Stronge, Rigid body collision with friction. Proc. R. Soc. A Math. Phys. Eng. Sci.
431(1881), 169–181 (1990)
28. J.W. Stronge, Impact Mechanics (Cambridge University Press, Cambridge, 2000)
29. A. Tavakoli, M. Gharib, Y. Hurmuzlu, Collision of two mass baton with massive external
surfaces. ASME J. Appl. Mech. 79(5), 051019 1–8 (2012)
30. S. Vlase, A method of eliminating Lagrangian multipliers from the equation of motion of
interconnected mechanical systems. J. Appl. Mech. Trans. ASME 54(1), 235–237 (1987)
31. R. Voinea, N. Pandrea, Contribution to a general mathematical theory of kinematic linkages, in
Proceedings of IFTOMM International Symposium on Linkages and Computer Design Method
B (Bucharest, 1973), pp. 522–534
32. Y. Wang, T.M. Mason, Two-dimensional rigid-body collisions with friction. ASME J. Appl.
Mech. 59(3), 635–642 (1992)
33. W.L. Yao, C. Bin, C.S. Liu, Energetic coefficient of restitution for planar impact in multi-rigidbody systems with friction. Int. J. Impact Eng. 31(3), 255–265 (2005)
34. L. Woo, F. Freudenstein, Application of line geometry to theoretical kinematics and the
kinematic analysis of mechanical systems. J. Mech. 5(3), 417–460 (1970)
35. H.N. Yu, J.S. Zhao, F.L. Chu, An enhanced multi-point dynamics methodology for collision
and contact problems. Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci. 227(6), 1203–1223
(2013)
36. M. Yuan, F. Freudenstein, Kinematic analysis of spatial mechanisms by means of screw
coordinates. ASME J. Eng. Ind. 93(1), 61–73 (1973)
73
10. P. Flores, J. Ambrósio, J.C.P. Claro, H.M. Lankarani, Influence of the contact-impact force
model on the dynamic response of multi-body systems. Proc. Inst. Mech. Eng. Part K J. Multibody Dyn. 220(1), 21–34 (2006)
11. Glocker, C.: Energetic consistency conditions for standard impacts. Part I: Newton-type
inequality impact laws. Multibody System Dynamics 29, 77–117 (2013)
12. C. Glocker, Energetic consistency conditions for standard impacts. Part II: Poisson-type
inequality impact laws. Multibody Syst. Dyn. 32, 445–509 (2014)
13. D.J. Inman, Engineering Vibration, 4th edn. (Pearson Education, New Jersey, 2013)
14. M.G. Kapoulitsas, On the collision of rigid bodies. J. Appl.Math. Phys. (ZAMP) 46, 709–723
(1995)
15. J.B. Keller, Impact with friction. ASME J. Appl. Mech. 53(1), 1–4 (1986)
16. H.M. Lankarani, M.F.O.S. Pereira, Treatment of impact with friction in planar multibody
mechanical systems. Multibody Syst. Dyn. 6(3), 203–227 (2001)
17. B.D. Marghitu, Y. Hurmuzlu, Three-dimensional rigid body collisions with multiple contact
points. ASME J. Appl. Mech. 62(3), 725–732 (1995)
18. L. Meirovitch, Fundamentals of Vibrations, 2nd edn. (Waveland Press, Long Grove, 2010)
19. N. Pandrea, On the collisions of solids. Stud. Res. Appl. Mech. 40(2), 117–131 (1990)
20. N. Pandrea, Elements of the Mechanics of Solid Rigid in Plückerian Coordinates (The
Publishing House of the Romanian Academy, Bucharest, 2000)
21. N. Pandrea, About collisions of two solids with constraints. Revue Romaine des Sciences
Techniques, série de Méchanique Appliquée 49(1), 1–6 (2004)
22. N. Pandrea, N.D. St˘ anescu, A new approach in the study of frictionless collisions using
inertances. Proc. Int. Inst. Mech. Eng. Part C J. Mech. Eng. Sci. 229(12), 2144–2157 (2015)
23. N. Pandrea, N.D. St˘ anescu, A new approach in the study of frictionless collisions using
inertances. Proc. Int. Inst. Mech. Eng. Part C J. Mech. Eng. Sci. 233(3), 817–834 (2015)
24. E. Pennestri, P.P. Valentini, L. Vita, Dynamic analysis of intermittent-motion mechanisms
through the combined use of gauss principle and logical functions, in IUTAM Symposium on
Multiscale Problems in Multibody System Contacts Stuttgart February 2006, IUITAM Book
series, ed. by P. Eberhard (Springer, Heidelberg, 2006), pp. 195–204
25. F. Pfeiffer, On impact with friction. Appl. Math. Comput. 217(3), 1184–1192 (2010)
26. N.D. St˘ anescu, L. Munteanu, V. Chiroiu, N. Pandrea, Dynamical Systems. Theory and
Applications (The Publishing House of the Romanian Academy, Bucharest, 2007)
27. J.W. Stronge, Rigid body collision with friction. Proc. R. Soc. A Math. Phys. Eng. Sci.
431(1881), 169–181 (1990)
28. J.W. Stronge, Impact Mechanics (Cambridge University Press, Cambridge, 2000)
29. A. Tavakoli, M. Gharib, Y. Hurmuzlu, Collision of two mass baton with massive external
surfaces. ASME J. Appl. Mech. 79(5), 051019 1–8 (2012)
30. S. Vlase, A method of eliminating Lagrangian multipliers from the equation of motion of
interconnected mechanical systems. J. Appl. Mech. Trans. ASME 54(1), 235–237 (1987)
31. R. Voinea, N. Pandrea, Contribution to a general mathematical theory of kinematic linkages, in
Proceedings of IFTOMM International Symposium on Linkages and Computer Design Method
B (Bucharest, 1973), pp. 522–534
32. Y. Wang, T.M. Mason, Two-dimensional rigid-body collisions with friction. ASME J. Appl.
Mech. 59(3), 635–642 (1992)
33. W.L. Yao, C. Bin, C.S. Liu, Energetic coefficient of restitution for planar impact in multi-rigidbody systems with friction. Int. J. Impact Eng. 31(3), 255–265 (2005)
34. L. Woo, F. Freudenstein, Application of line geometry to theoretical kinematics and the
kinematic analysis of mechanical systems. J. Mech. 5(3), 417–460 (1970)
35. H.N. Yu, J.S. Zhao, F.L. Chu, An enhanced multi-point dynamics methodology for collision
and contact problems. Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci. 227(6), 1203–1223
(2013)
36. M. Yuan, F. Freudenstein, Kinematic analysis of spatial mechanisms by means of screw
coordinates. ASME J. Eng. Ind. 93(1), 61–73 (1973)