0
TECHNICAL PAPERS

Effects of Crank Length on the Dynamics Behavior of a Flexible Connecting Rod

[+] Author and Article Information
Jen-San Chen, Chu-Hsian Chian

Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan 10617

J. Vib. Acoust 123(3), 318-323 (Dec 01, 2000) (6 pages) doi:10.1115/1.1368882 History: Received February 01, 2000; Revised December 01, 2000
Copyright © 2001 by ASME
Your Session has timed out. Please sign back in to continue.

References

Neubauer,  A. H., Cohen,  R., and Hall,  A. S., 1966, “An Analytical Study of the Dynamics of an Elastic Linkage,” ASME J. Eng. Ind., 88, pp. 311–317.
Badlani,  M., and Kleninhenz,  W., 1979, “Dynamic Stability of Elastic Mechanism,” ASME J. Mech. Des., 101, pp. 149–153.
Badlani,  M., and Midha,  A., 1982, “Member Initial Curvature Effects on the Elastic Slider-Crank Mechanism Response,” ASME J. Mech. Des., 104, pp. 159–167.
Badlani,  M., and Midha,  A., 1983, “Effect of Internal Material Damping on the Dynamics of a Slider-Crank Mechanism,” ASME J. Mech. Des., 105, pp. 452–459.
Tadjbakhsh,  I. G., 1982, “Stability of Motion of Elastic Planar Linkages With Application to Slider Crank Mechanism,” ASME J. Mech. Des., 104, pp. 698–703.
Zhu,  Z. G., and Chen,  Y., 1983, “The Stability of the Motion of a Connecting Rod,” ASME J. Mech. Des., 105, pp. 637–640.
Tadjbakhsh,  I. G., and Younis,  C. J., 1986, “Dynamic Stability of the Flexible Connecting Rod of a Slider Crank Mechanism,” ASME J. Mech. Des., 108, pp. 487–496.
Viscomi,  B. V., and Ayre,  R. S., 1971, “Nonlinear Dynamic Response of Elastic Slider-Crank Mechanism,” ASME J. Eng. Ind., 93, pp. 251–262.
Hsieh,  S. R., and Shaw,  S. W., 1994, “The Dynamic Stability and Nonlinear Resonance of a Flexible Connecting Rod: Single Mode Model,” J. Sound Vib., 170, pp. 25–49.
Thompson,  B. S., and Sung,  C. K., 1984, “A Variational Formulation for the Nonlinear Finite Element Analysis of Flexible Linkages: Theory, Implementation, and Experimental Results,” ASME J. Mech. Des., 106, pp. 482–488.
Jasinski,  P. W., Lee,  H. C., and Sandor,  G. N., 1971, “Vibrations of Elastic Connecting Rod of a High Speed Slider-Crank Mechanism,” ASME J. Eng. Ind., 93, pp. 636–644.
Chu,  S. C., and Pan,  K. C., 1975, “Dynamic Response of a High Speed Slider-Crank Mechanism With an Elastic Connecting Rod,” ASME J. Eng. Ind., 97, pp. 542–550.
Fung,  R.-F., and Chen,  H.-H., 1997, “Steady-State Response of the Flexible Connecting Rod of a Slider-Crank Mechanism With Time-Dependent Boundary Condition,” J. Sound Vib., 199, pp. 237–251.
Chen, J.-S., and Chen, K.-L., “The Role of Lagrangian Strain in the Dynamic Response of a Flexible Connecting Rod,” submitted to ASME J. Mech. Des.
Hsu, C. S., 1987, Cell-to-Cell Mapping, Springer-Verlag, London.
Moon, F. C., 1987, Chaotic Vibrations, An Introduction for Applied Scientists and Engineers, John Wiley and Science, New York.
Chen, J.-S., and Huang, C.-L., “Dynamic Analysis of Flexible Slider-Crank Mechanisms With Nonlinear Finite Element Method,” accepted for publication in J. Sound Vib.

Figures

Grahic Jump Location
Schematic diagram of a slider and crank mechanism
Grahic Jump Location
Bifurcation diagram for crank length a=0.1. In the speed range 1.05<Ω<1.37 the solution is P-2.
Grahic Jump Location
Amplitude of the steady state transverse deflection g for crank length a=0.1. Solid and dotted lines represent the results from nonlinear and linear strain formulations, respectively.
Grahic Jump Location
Bifurcation diagram for crank length a=0.4. The response becomes chaotic when Ω>0.86. The left inset is the magnification of speed range 0.96<Ω<0.99.
Grahic Jump Location
Two domains of attraction when Ω=0.43. The stable attractors are marked with black dots.
Grahic Jump Location
Steady state vibrations of the two attractors in Fig. 5.
Grahic Jump Location
Poincare map at Ω=0.9 after the solutions of the first 300 cycles are ignored. 60000 points are recorded in this map.
Grahic Jump Location
Amplitude of the steady state transverse deflection g when crank length a=0.4. Solid and dotted lines represent the results from nonlinear and linear strain formulations, respectively.
Grahic Jump Location
Bifurcation diagram for crank length a=0.6. The left inset is the magnification of speed range 0.51<Ω<0.64.
Grahic Jump Location
Amplitude of the steady state transverse deflection g when crank length a=0.6. Solid and dotted lines represent the results from nonlinear and linear strain formulations, respectively.
Grahic Jump Location
Comparison of results from various calculations. Line (1): g from one-mode approximation. Lines (2) and (3): g1 and g2 from two-mode approximation. Line (4): g from finite element calculation. The parameters used in the calculation are a=0.1,ms=0.1,ε=0.05,μ=0, and Ω=1.

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