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Abstract

The paper develops a general procedure for the dynamic analysis of planar mechanisms with multiple clearance. The analysis mainly relies on determining the clearance angles B_ij its first and second derivatives. The governing equations of each clearance angle are developed on the condition that the variations in displacements and velocities due to clearance effect are very small and could be ignored. Also, the equations governing these clearance angles are developed such that the common normal at the point of contact at each clearance connection coincides with the direction of the clearance eccentricity vector which has the same direction of the normal force at the point of contact. A quick-return motion mechanism with seven clearances is considered to illustrate the procedure.

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References

Johnson

R. C.

Impact forces in mechanisms. Machine Design, 12 June, 1958, 138–146.

Hartman

J. B.

Anticipating dynamic behaviour. Machine Design, 7 Aug., 1958, 118–124.

Goodman

T. P.

Dynamic effects. Machine Design, May 23, 1963, 150–157.

Kobrinsky

A. Ye.

Mechanisms with elastic couplings—dynamic and stability, (translation). NASA-TTF-534, June 1969.

Garret

R. E.

Hall

A. S.

Jr.

Effect of tolerances and clearance in linkage design. J. Engng Ind., Trans. ASME, Series B, Feb 1969, 91, No. 1, 198–202.

Skreiner

Ebeling

D. G.

Tolerance analysis of mechanisms using PA-300: a general probabilistic problem solving language. Presented at the eleventh ASME Mechanisms Conference, Columbus, Ohio, Oct. 1970.

Kolhatkar

S. A.

Yajnik

K. S.

The effects of play in the joints of a function-generating mechanism. Journal of Mechanisms, 1970, 5, 521–532.

Dhande

Si. G.

Chakraborty

Analysis and synthesis of mechanical error in linkages. J. Engng Ind., Trans. ASME, Series B, Aug 1973, 95, 672–676.

Dubowsky

Maatuk

Perreira

N. D.

A parameter identification study of kinematic errors in planar mechanisms. J. Engng Ind., Trans. ASME, Series B, May 1975, 97, No. 2, 635–642.

10.

Dubowsky

On predicting the dynamic effects of clearances in one-dimensional closed loop systems. J. Engng Ind., Trans. ASME, Series B, Feb 1974, 96, No. 1, 317–323.

11.

Yudin

K. M.

On a problem of the dynamic of mechanisms with clearance. Proceedings of the Third World Congress of IFToMM, Vol. A, 1971, 197–208.

12.

Sergeyev

V. I.

Yudin

K. M.

On a model for mechanisms with clearances, (in Russian). Mashinovedeniye (Mechanical Science Journal of the Soviet Academy of Science), No. 5, 1970, 28–32.

13.

Earles

S. W. E.

C. L. S.

Motion analysis of a rigid-link mechanism with clearance at a bearing using Langrangian mechanics and digital computation. Mechanisms, Institution of Mechanical Engineers, C86/72, pp 83–89.

14.

Townsend

M. A.

Mansour

W. M.

A pendulating model for mechanisms with clearances in the revolutes. J. Engng Ind., Trans. ASME, Series B, Feb 1975, 97, No. 1, 354–358.

15.

Mansour

W. M.

Townsend

M. A.

Impact spectra and intensities for high-speed mechanisms. J. Engng Ind., Trans. ASME, Series B, Feb 1975, 97, No. 1, 347–353.

16.

Miedema

Mansour

W. M.

Mechanical joints with clearance: A three-mode model. J. Engng Ind., Trans. ASME, June 1976, Paper No. 76-DET-52.

17.

Dubowsky

Gardner

T. N.

Design and analysis of multi-link flexible mechanisms with multiple clearance connections. J. Engng Ind., Trans. ASME, May 1976, Paper No. 76-DET-9.

18.

Bahgat

B. M.

Osman

M. O. M.

Sankar

T. S.

On the effect of bearing clearances in the dynamic analysis of planar mechanisms. J. Mech. Engng Sci., June 1979, 21, 429–437.

19.

Bahgat

B. M.

Osman

M. O. M.

Sankar

T. S.

An approach for dynamic analysis of mechanical systems with multiple clearances using Langrangian mechanics. Design Engineering Technical Conference, ASME, 23 Sept., 1981, Paper No. 81-DET-3.

On the Dynamic Analysis of Planar Mechanisms with Multiple Clearances

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