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Investigations of the space vibrations of a woodworking shaper

Vukov Georgi, Gochev Zhivko

Drewno : prace naukowe, doniesienia, komunikaty

2020

vol. 63, nr 206

121--136

The proposed study investigates the spatial vibrations of a woodworking shaper. It presents an original mechanic-mathematical model targeted to investigations of the spatial vibrations of woodworking shapers, developed by the authors. The model considers woodworking shapers with lower placement of the spindle. In this model the woodworking shaper, the spindle and the electric motor’s rotor are regarded as rigid bodies, which are connected by elastic and damping elements with each other and with the motionless floor. The model takes into account the needed mass, inertia, elastic and damping properties of the elements of the considered system. It includes all necessary geometric parameters of this system. After that a system of matrix differential equations is compiled and analytical solutions are derived. Numerical calculations are carried out by using the developed model and modern computer programs. The calculations use the parameters of a machine used in practice. As a result of the whole study, the natural frequencies and the mode shapes of the free spatial vibrations of the studied mechanical system are calculated and illustrated. Then the free damped spatial vibrations of this system are obtained and illustrated also.