0
Research Papers

Dynamic Response of Multibody Systems with Multiple Clearance Joints

[+] Author and Article Information
Paulo Flores

CT2M/Departamento de Engenharia Mecânica,  Universidade do Minho, Campus de Azurém, 4800-058 Guimarães, Portugalpflores@dem.uminho.pt

Hamid M. Lankarani

Department of Mechanical Engineering,  Wichita State University, Wichita, KS, 67260-133hamid.lankarani@wichita.edu

J. Comput. Nonlinear Dynam 7(3), 031003 (Mar 19, 2012) (13 pages) doi:10.1115/1.4005927 History: Received June 02, 2011; Revised December 02, 2011; Published March 13, 2012; Online March 19, 2012

A general methodology for the dynamic modeling and analysis of planar multibody systems with multiple clearance joints is presented. The inter-connecting bodies that constitute a real physical mechanical joint are modeled as colliding components, whose dynamic behavior is influenced by the geometric, physical and mechanical properties of the contacting surfaces. A continuous contact force model, based on the elastic Hertz theory, together with a dissipative term associated with the internal damping, is utilized to evaluate the intra-joint normal contact forces. The incorporation of the friction phenomenon, based on the classical Coulomb’s friction law, is also included in this study. The suitable contact force models are embedded into the dynamic equations of motion for the multibody systems. In the sequel of this process, the fundamental methods to deal with contact-impact events in mechanical systems are presented. Finally, two planar mechanisms with multiple revolute clearance joints are used to demonstrate the accuracy and efficiency of the presented approach and to discuss the main assumptions and procedures adopted. The effects of single versus multiple clearance revolute joints are discussed.

FIGURES IN THIS ARTICLE
<>
Copyright © 2012 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Typical connection with revolute clearance joints found in a planar multibody systems

Grahic Jump Location
Figure 2

Types of journal motion inside the bearing boundaries

Grahic Jump Location
Figure 3

Generic configuration of a revolute joint with clearance in a multibody system

Grahic Jump Location
Figure 4

Slider-crank mechanism with two clearance joints

Grahic Jump Location
Figure 5

(a) Slider velocity, (b) Slider acceleration, (c) Joint reaction force at the clearance joint, (d) Crank moment required to maintain its angular velocity constant, (e) Journal center trajectory relative to the bearing center, (f) Poincaré map. All for one clearance joint of 0.05 mm between the connecting rod and the slider.

Grahic Jump Location
Figure 6

(a) Slider velocity, (b) Slider acceleration, (c) Joint reaction force at the clearance joint, (d) Crank moment required to maintain its angular velocity constant, (e) Journal center trajectory relative to the bearing center, and (f) Poincaré map. All for one clearance joint of 0.05 mm between the crank rod and the connecting rod.

Grahic Jump Location
Figure 7

Slider acceleration for different number of clearance joints: (a) One clearance joint between connecting rod and slider, (b) One clearance joint between crank and connecting rod, (c) One clearance joint between crank and connecting rod and one clearance joint between connecting rod and slider, (d) All three revolute joints have clearance (multiple clearance joints)

Grahic Jump Location
Figure 8

Joint reaction force for different number of clearance joints: (a) One clearance joint between connecting rod and slider, (b) One clearance joint between crank and connecting rod, (c) One clearance joint between crank and connecting rod and one clearance joint between connecting rod and slider, and (d) All three revolute joints have clearance (multiple clearance joints)

Grahic Jump Location
Figure 9

Journal center trajectories for different number of clearance joints: (a) One clearance joint between connecting rod and slider, (b) One clearance joint between crank and connecting rod, (c) One clearance joint between crank and connecting rod and one clearance joint between connecting rod and slider, (d) All three revolute joints have clearance (multiple clearance joints)

Grahic Jump Location
Figure 10

Poincaré maps for different number of clearance joints: (a) One clearance joint between connecting rod and slider, (b) One clearance joint between crank and connecting rod, (c) One clearance joint between crank and connecting rod and one clearance joint between connecting rod and slider, and (d) All three revolute joints have clearance (multiple clearance joints)

Grahic Jump Location
Figure 11

Variation of the computation time consumed: (a) Diametric clearance size; (b) Number of joints with clearance

Grahic Jump Location
Figure 12

Quick-return mechanism with four revolute clearance joints

Grahic Jump Location
Figure 13

(a) X-position of the slider, represented by body 6, (b) X-velocity of the slider; (c) X-acceleration of the slider

Grahic Jump Location
Figure 14

(a) Journal center orbit inside the bearing boundaries; (b) Poincaré map of the slider 6

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