TAILIEUCHUNG - Balancing conditions of planar mechanisms with multi-degree of freedom

This paper presents a new method for deriving the balancing conditions of planar mechanisms with multi-degree of freedom. The method has advantage of being suitable for the application of the widely accessible computer algebra systems such as MAPLE. In the example, the conditions for complete shaking force and shaking moment balancing of a planar five-bar linkage are given. | Vietnam Journal of Mechanics, VAST, Vol. 27, No. 4 (2005), pp . 204 - 212 BALANCING CONDITIONS OF PLANAR MECHANISMS WITH MULTI-DEGREE OF FREEDOM NGUYEN VAN KHANG, NGUYEN PHONG DIEN , PHAM VAN SON Hanoi University of Technology Abstract. This paper presents a new method for deriving the balancing conditions of planar mechanisms with multi-degree of freedom . The method has advantage of being suitable for the application of the widely accessible computer algebra systems such as MAPLE. In the example, the conditions for complete shaking force and shaking moment balancing of a planar five-bar linkage are given. 1. INTRODUCTION One of the problems of the complete shaking force and shaking moment balancing of planar mechanism consist of the deriving the so-called balancing conditions. These balancing conditions will be used to determine the size and location of counterweights or supplementary links which must be added to the initial mechanism, in order to eliminate the shaking force and the shaking moment caused by all moving links. The balancing methods for planar mechanisms with one degree-of-freedom can be found in a large number of publications [2-7] . However , the development on the balancing theory of planar mechanisms with multi-degree of freedom is still limited and the literature on this respect therefore is very little. In the paper, we presents a new method for deriving the general balancing conditions of planar mechanisms with multi-degree of freedom and an arbitrary structure. The developed algorithm is suit able for the application of the widely accessible computer algebra systems such as MAPLE. In the following example, the conditions for complete shaking force and shaking moment balancing of a planar five-bar linkage are given . 2. BALANCING THEORY OF PLANAR MECHANISl\!IS· WITH MULTI-DEGREE OF FREEDOM We first consider an arbitrary link of a planar mechanism with multi-degree-of-freedom shown in Fig. 1. The mechanism consist of a set of n links in a

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• Balancing conditions of planar mechanisms with multi degree of freedom
• Multi degree of freedom
• Planar five bar linkage
• The widely accessible computer algebra systems
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