Optical dynamic balancing of shaking force and shaking moment for planar mechanisms

Author(s):  
Samiksha Agarwal ◽  
Vikas Bansal
2005 ◽  
Vol 127 (2) ◽  
pp. 334-339 ◽  
Author(s):  
Vigen H. Arakelian ◽  
M. R. Smith

This paper deals with the solutions of the problem of the shaking force and shaking moment balancing of planar mechanisms by different methods based on the generation of the movements of counterweights. Some special cases are examined, such as balancing methods based on the copying properties of pantograph systems that carry the counterweights (formed by gears or by toothed-belt transmissions). The pantograph system executes a movement exactly opposite to the movement of the total center of the movable link masses. Such a solution provides the conditions for dynamic balancing with a relatively small increase of the total mass of the movable links. The methods are illustrated by many examples.


2007 ◽  
Vol 31 (2) ◽  
pp. 167-190 ◽  
Author(s):  
Zhang Ying ◽  
Yao Yan-An ◽  
Cha Jian-Zhong

This paper proposed a novel concept of active balancer for dynamic balancing of planar mechanisms. Somewhat similar to a vibration absorber, the active balancer is designed as an independent device, which is placed outside of the mechanism to be balanced and can be installed easily. It consists of a two degree-of-freedom (DOF) linkage with two input shafts, one of which is connected to the output shaft of the mechanism to be balanced by a joint coupling, and the other one is driven by a controllable motor. Flexible dynamic balancing adapted to different working conditions can be achieved by varying speed trajectories of the control motor actively. A design method is developed for selecting suitable speed trajectories and link parameters of the two DOF linkage of the balancer to meet various design requirements and constraints. Numerical examples are given to demonstrate the design procedure and to verify the feasibility of the proposed concept.


2011 ◽  
Vol 314-316 ◽  
pp. 2348-2352
Author(s):  
Er Bao ◽  
Xue Ye Ang ◽  
De Yong Liu

A new method of shaking moment balancing of force balanced linkages is presented in this paper. The shaking moment balancing is gained based on the angular momentum principle. The method of synthesizing a dyad to balance the shaking moments is given, two kinds of structure types are calculated, all the maximum absolute values of the shaking moments are decreased by more than 75 % and the f1uctuation values of those are reduced by more than 68 %.


Author(s):  
Kailash Chaudhary ◽  
Himanshu Chaudhary

A two-stage optimization method for optimal dynamic design of planar mechanisms is presented in this paper. For dynamic balancing, minimization of the shaking force and the shaking moment is achieved by finding optimum mass distribution of mechanism links using the equimomental system of point-masses in the first stage of the optimization. In the second stage, their shapes are synthesized systematically by closed parametric curve, i.e. cubic B-spline curve corresponding to the optimum inertial parameters found in the first stage. The multi-objective optimization problem to minimize both the shaking force and the shaking moment is solved using evolutionary optimization algorithm – “Teaching-learning-based optimization (TLBO) algorithm”. The computational performance of TLBO algorithm is compared with another evolutionary optimization algorithm, i.e. genetic algorithm.


2005 ◽  
Vol 27 (4) ◽  
pp. 204-212 ◽  
Author(s):  
Nguyen Van Khang ◽  
Nguyen Phong Dien ◽  
Pham Van Son

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.


Author(s):  
Jorge Angeles ◽  
Meyer A. Nahon ◽  
Thomas Thümmel

Abstract This paper deals with the dynamic balancing of linkages. For one-degree-of-freedom linkages, this task consists of eliminating both the shaking moment and the shaking force exerted by the inertia forces of the moving links on the frame. While the latter can be eliminated by properly deciding on both the location of the mass centers and the ratios of the masses and link lengths involved, the shaking moment due to these forces cannot be eliminated in this way. Indeed, the elimination of the shaking force is attained by having the two transmitted forces cancel each other, although each individual force does not necessarily vanish, thereby still producing a shaking moment. In this paper, we propose the use of redundant motors in order to eliminate the reaction forces transmitted to the base, thereby also eliminating the shaking moment due to these forces. However, the net moment acting on the frame is shown to be unaltered by this technique.


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