Spatial deformations in the transmissions of certain classes of woodworking machines

• Spatial deformations in the transmissions of big band saw machines are investigated.
• Static and dynamic loads that arise in operating mode are determined.
• Transverse vibrations in horizontal and vertical planes are analyzed.
• Functions describing the deformations of the main shaft are obtained.
• The resulting formulas are applied for particular band saw machines.

In this paper the spatial deformations in the transmissions of big band saw machines are analyzed. These deformations are caused by static and dynamic loads that arise during the working process. The influence of the static loads is studied as a result of expressions describing the differential equations of the elastic lines. These equations are used in order to determine the deformations of the main shaft. The paper also contains diagrams showing the type of the elastic lines in two mutually perpendicular planes. The influence of the dynamic loads is also analyzed. The transverse vibrations of the shaft are studied allowing expressions that describe the deformations of the shaft in two mutually perpendicular planes to be obtained. Expressions describing the deformations depending on two parameters are received. These expressions would allow solving various optimization problems that are associated with the safe and reliable operation of the machines.