Optimization of energy losses in a certain class of woodworking machines - analytical and numerical solutions

In this paper, kinetic energy losses in big band saw machines are investigated. These losses are caused by the linear and angular inaccuracies with which the leading wheels are made. Expressions are obtained for calculating the kinetic energy of the mechanical system in the ideal and real cases when the two wheels are made without and with linear and angular inaccuracies. Using these expressions, an expression for calculating the kinetic energy loss of the mechanical system is obtained. Various optimization solutions have been proposed to calculate the optimal values of the parameters that take into account the linear and angular inaccuracies. At these values, kinetic energy losses in big band saw machines will be minimal. The proposed study can be used to minimize energy losses in other classes of woodworking machines.