0
TECHNICAL PAPERS

A Poisson-Based Formulation for Frictional Impact Analysis of Multibody Mechanical Systems With Open or Closed Kinematic Chains

[+] Author and Article Information
Hamid M. Lankarani

Mechanical Engineering Department, Wichita State University, Wichita, KS 67260-0133e-mail:lankaran@me.twsu.edu

J. Mech. Des 122(4), 489-497 (Oct 01, 1999) (9 pages) doi:10.1115/1.1319160 History: Received October 01, 1999
Copyright © 2000 by ASME
Your Session has timed out. Please sign back in to continue.

References

Khulief, Y. A., Haug, E. J., and Shabana, A. A., 1983, “Dynamic Analysis of Large Scale Mechanical Systems with Intermittent Motion,” Tech. Report No. 83-10, University of Iowa, College of Engineering.
Hunt,  K. H., and Grossley,  F. R. E., 1975, “Coefficient of Restitution Interpreted as Damping in Vibroimpact,” ASME J. Appl. Mech., 42, pp. 440–445.
Wittenburg, J., 1977, Dynamics of Systems of Rigid Bodies, Teubner, Suttgart.
Wehage, R. A., 1980, “Generalized Coordinate Partitioning in Dynamic Analysis of Mechanical Systems,” Ph.D. dissertation, University of Iowa.
Haug,  E. J., Wu,  S. C., and Yang,  S. M., 1986, “Dynamics of Mechanical Systems with Coulomb Friction, Stiction, Impact and Constraint Addition and Deletion-I,” Mech. Mach. Theory, 21, No. 5, pp. 401–406.
Lankarani, M. H., and Nikravesh, P. E., 1988, “Application of the Canonical Equations of Motion in Problems of Constrained Multibody Systems with Intermittent Motion,” Advances in Design Automation, DE-Vol. 14, pp. 417–423.
Wittaker, E. T., 1937, Analytical Dynamics, 4th ed., Cambridge University Press, London.
Keller,  J. B., 1986, “Impact with Friction,” ASME J. Appl. Mech., 53, pp. 1–4.
Han, I., and Gilmore, B. J., 1990, “Multibody Impact Motion with Friction-Analysis, Simulation, and Experimental Validation,” Proc. R. Soc. London, Ser. A, Chicago, Sept. 16–19.
Kane, T. R., 1984, “A Dynamics Puzzle,” Stanford Mechanics Alumni Club Newsletter, p. 6.
Brach,  R. M., 1989, “Rigid Body Collision,” ASME J. Appl. Mech., 56, pp. 133–138.
Routh, E. J., 1891, Dynamics of a System of Rigid Bodies, Fifth edition, MacMillan and Co., London.
Wang,  Y., and Mason,  M. T., 1992, “Two-Dimensional Rigid-Body Collisions with Friction,” ASME J. Appl. Mech., 59, pp. 635–642.
Pereira, M. S., and Nikravesh, P. E., 1994, “Impact Dynamics of Multibody Systems with Frictional Contact using Joint Coordinates and Canonical Equations of Motion.” Proc. R. Soc. London, Ser. A, Proc. of NATO Advanced Science Institute on Computer-Aided Analysis of Rigid and Flexible Mechanical System, Troia, Portugal.
Glocker, C., Pfeiffer, F., 1994, “Multiple Impacts With Friction in Rigid Multibody Systems.” Proc. R. Soc. London, Ser. A, Proc. Fifth Conf. On Non-linear Vibrations, Stability, and Dynamics of Structures and Machines, VPI State University, Blacksburg, VA.
Cataldo, E., and Sampio, R., 1998, “Collision Between Rigid Bodies: Comparing Some Models.” Proc. Int. Symp. On Impact and Friction of Solids and Machines, Ottawa, Canada, pp. 172–182.
Maguitu, D., and Hurmuzlu, I. 1994, “Spatial Collision of Kinematic Chains with Multiple Contact Points,” ASME DSL-Vol. 55-2, Dynamic Systems and Control.
Ahmed,  S., Lankarani,  H. M., and Perreira,  M. F. O. S., 1999, “Frictional Impact Analysis in Open-Loop Multibody Mechanical System.” ASME J. Mech. Des., 121, pp. 119–127.
Shivaswamy,  S., and Lankarani,  H. M., 1997, “Impact Analysis of Plates Using a Quasi-static Approach,” ASME J. Mech. Des., 119, pp. 376–381.

Figures

Grahic Jump Location
Rear wheel suspension system of an automobile
Grahic Jump Location
Rear wheel suspension system executing a stiff bump; (a) Type of impact; (b) % Energy loss; (c) Horizontal wheel velocity km/hr
Grahic Jump Location
Schematic drawing of instrumented double pendulum impact testing
Grahic Jump Location
Dimensions of the pendulum arms from which mass and inertia properties are calculated (all dimensions are in mm)
Grahic Jump Location
Schematic drawing of the double pendulum used in the test
Grahic Jump Location
Sample of results from the double pendulum impact on steel plate with 91 % drop height
Grahic Jump Location
Frictional impact in a general multibody mechanical system
Grahic Jump Location
Impact process diagram for the seven cases of impact; (a) Type 1: Sliding and sticking in the compression phase. (b) Type 2: Sliding and sticking in the restitution phase. (c) Type 3: Sliding and reverse sliding in the compression phase. (d) Type 4: Sliding and reverse sliding in the restitution phase. (e) Type 5: Forward sliding. (f ) Type 6: Sticking with vt=0. (g) Type 7: Sliding with vt=0.
Grahic Jump Location
Impact model of a double pendulum
Grahic Jump Location
Results of the impact of a double pendulum; (a) Type of impact (b) % Energy loss

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In