With the aim of achieving stable operation of circular saws, this study finds the solution for the optimization problem of choosing a set of parameters for additional tensioning in a rotating circular saw that is subjected to both a local temperature distribution arising from the thermal load caused by the blade-workpiece friction and the in-plane plastic strain introduced by original and additional tensioning. The solution for in-plane forces is obtained on the basis of plate bending theory, and modal analysis for the out-of-plane behavior affected by the in-plane forces is performed. Numerical calculations are performed to investigate the effects of additional tensioning on the natural frequencies. The optimization problem to maximize, with respect to the intensity, location, and width of additional tensioning, the natural frequency of the most critical mode is solved by use of a genetic algorithm, and the optimal parameters of additional tensioning are determined at computational costs that are considerably lower than those of 100% inspection.
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