The influence of the length of the lining on the speed of movement of the pallet on the centrifugal friction roller

Pallet flow rack is one of the high-density storage systems. One of the main safety elements of the systems is a brake roller. Centrifugal frictional brake is the widely used type of the brake rollers, which used as speed governor for the pallet. The known method of calculation of the pallet speed on the flow rack does not take into account the length of the friction lining. In reality, the contact of the friction lining and the roller shell occurs in an arc that reaches the full length of the lining during operation. The method of calculating the speed of movement of the pallet on a centrifugal friction roller is given, and a calculation formula is obtained that allows taking into account the uniform distribution of the force of the normal pressure along the length of the lining. The results of a comparative calculation are presented, which showed that the speed of the pallet movement when taking into account the length of the lining is lower than the values obtained without taking it into account. It is found that if the lining length is up to 70 mm, it can be ignored in the calculations using a simpler formula, and if the lining length is more than 70 mm, it is recommended to use the calculation formula obtained in the work.