Optimum Dynamic Balancing of Four-bar Linkage by Combination of Dual-system and Counterweights
Date Issued
2012
Date
2012
Author(s)
Lee, Fang-Ming
Abstract
This study is going to combine the dual-system which is similar to the duplicate mechanism and counterweights to achieve the dynamic balancing of four-bar linkage with the lightest counterweights. This paper is starting with constructing the kinematic model and the dynamic model of a planar four-bar linkage by the vector loop closure equations and D’Alembert’s principle, and focus on the axial arrangement of the bearings to analyze the bearing forces. Then, the counterweights mounted on the linkages are applied to balance the system. The differences between two object functions of optimizing the counterweights, one is the non-dimensional total of shaking force and shaking moment and the other is the total mass of the counterweights which can balance the system to a standard level, are shown in this study. The result shows that the latter is easier to lower the specific dynamic properties and decrease the mass applied. Finally, this study discusses the balancing effects of different settings of the dual-systems. According to the result, the settings can be classified into two categories and the main difference between the two is the shaking moment. With this property, the combination of dual-system settings and optimal counterweights can lower the shaking force and the shaking moment and decrease the mass of counterweights even more. This study could be applied in practice and promote the research on the dynamic balancing.
Subjects
dynamic balancing
counterweight
duplicate mechanism
optimization
shaking force
shaking moment
Type
thesis
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