Operation of a Four-Bar Mechanism Above Several Critical Speeds

Author:

Aannaque A.1,Garvey S.2,Bennouna M.3,Penny J.2

Affiliation:

1. De´partement Ge´nie Me´canique, Ecole Mohammedia d’Inge´nieurs, Rabat, Morocco

2. Department of Mechanical and Electrical Engineering, Aston University, Birmingham B4 7ET, UK

3. De´partement Ge´nie Me´canique, Ecole Mohammedia d’lnge´inieurs, Rabat, Morocco

Abstract

A dynamic analysis of a four-bar mechanism shows that it has many critical speeds where the response of the system is large compared to the response at neighboring speeds. Some of these critical speeds are limiting critical speeds. The lowest of these limiting speeds cannot be exceeded because stresses in one of the links would become greater than the safe working stress. This paper examines methods for computing critical speeds and suggests a method whereby the first limiting critical speed of a mechanism can be adjusted either continuously or discretely so that speeds above the first limiting critical speed can be achieved without the mechanism ever experiencing undue duress.

Publisher

ASME International

Subject

General Engineering

Reference10 articles.

1. Turcic D. A. , MidhaA., and BosnikJ. R., 1984, “Dynamic Analysis of Elastic Mechanism Systems, Part II: Experimental Results,” ASME Journal of Dynamic Systems, Measurement, and Control, Vol. 106, Dec., pp. 255–260.

2. Nagarajan, S., and Turcic, D. A., 1990, “Experimental Verification of Critical Speed Ranges In Elastic Closed Loop Linkage Systems,” ASME 21st Biennial Mechanisms Conference, Sept., Vol. 24, pp. 1–8.

3. Nagarajan, S., and Turcic, D. A., 1990, “Dynamic Stability Considerations in Elastic Closed Loop Linkage Systems,” ASME 21st Biennial Mechanisms Conference, Sept., Vol. 24, pp. 1–8.

4. Cleghorn W. L. , TabarrokB., and FentonR. G., 1984, “Critical Running Speeds And Stability of High-speed Flexible Mechanisms,” Mechanism and Machine Theory, Vol. 19, No. 3, pp. 307–317.

5. Alexander, R. M., and Lawrence, K. L., 1974, “An Experimental Investigation of the Dynamic Response of an Elastic Mechanism,” ASME Journal of Engineering for Industry, Feb. pp. 268–274.

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