Optimum Design of Balancing Systems with Real Springs

The static balancing of the weight forces of any mechanical system which is not working in horizontal plane is considered in order to decrease the acting power. From practical point of view two main ways of balancing could be taken into consideration: by mass redistribution of components and/or by adding counterweights, and by elastic forces of the springs or of the gases.The first solution is not always possible due to the clearance diagram of mechanical systems and due to increasing of the dynamic stresses of components. Second solution is more and more used to various mechanical systems and many constructive solutions were proposed in last time. The complexity of balancing systems with springs comes from the need of using zero-free length springs.In any case the mathematical model has not a unique solution. Present paper is continuing a former paper of author and is presenting a method to find the optimum solution of the simplest elastic system which is using a real spring. Design variables are the position of spring’s joints, as well as the constructional parameters of a real spring.