Abstract
On the basis of the variational approach and the Gauss-Seidel method there are proposed a technique and a mathematical model for determining the optimal parameters of dynamic load balancing systems on the crankshaft on the example of the cold rolling mill tube with reciprocating motion of an executive element in the form of a large mass working stand. The most compact scheme with the orthogonal motion of the executive element and the balancing load was chosen as the dynamic balance system. Variable parameters include dezaxial values, misalignment angle of cranks, weight of counterweight and balancing weight, lengths of connecting rods of executive and balancing mechanisms. For the existing series of sizes of cold rolling tube mill as the mass and speed of the rolling stand increase, the proportion of dynamic and technological components of the reduced load and respectively the kinematic scheme of the balancing mechanism changes. In this case, the structure of the loading and a set of variable parameters remain unchanged. Therefore, the proposed mathematical model of dynamic programming retains the universality of finding the minimum of maximum of the resulting load.
Highlights
The most compact scheme with the orthogonal motion of the executive element and the balancing load was chosen as the dynamic balance system
The proposed mathematical model of dynamic programming retains the universality of finding the minimum of maximum of the resulting load
Cold pilger mills with rolls and with rollers are widely used for the production of precision cold-rolled tubes
Summary
The highest of numbers among presented loads has an unbalanced component coming from the periodic reciprocal motion of the stand. Let’s consider a perfectly rigid, anti-backlash system of the desaxial slider-crank mechanism. Let’s consider possibilities of search for optimal parameters of the balancing mechanism of the cold pilger mill stand drive for shown below well-known version of such design The functional of the system “drive-the working stand – balancing mechanism” loading presented graphically in normalized form in [1, 2]. Taking into account technological loading, which defines interaction between tools of the working stand and a rolled ingot, and with a glance of moving masses and relation of master and slave links of the desaxial slider-crank mechanism, the expression for definition of torque modified to a crankshaft takes form of TM
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