The kinematics research of continuous book block cutting by disc knives with planetary gearset in drive

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Knysh O. B. № 1 (81) 62-71 Image Image

The critical analysis of modern scientific papers of book blocks cutting kinematics research has been carried out. The research problem and the relevance of the work have been outlined. The calculation scheme for the determination of the velocity and kinematic cutting angles has been developed. Analytical dependencies have been de­rived. The kinematical cutting angle of the disc knife is forming by the tangential secant plane (hyperbola) at the point of its intersection with the cutting plane and the cutting speed vector. Characteristic angles of disc knife rotation (the start of the incision into book block, the end of cutting, working angle) have been determined. The estimation of rotation angles of disc knife has been established due to the condition of the device mount in the perfect binding machine Trendbinder made by Muller-Martini. The impact of technological parameters and dimensions of the planetary gearset on the change of kinematic cutting angles have been studied. Optimal values of the rotational speed of the drove and the gear ratio of the planetary gearset due to the condition of minimization of cutting angles have been established. Considering the possibility of device mount in perfect binding machines, applying a passing movement of disc knife relatively to book block displacement direction has been recommended.

Quantitative and qualitative characteristics of the book block “slide” cutting have been studied. The impact of drove ratio on slip coefficient for oncoming and passing movement of disc knife has been evaluated. The tangential component of cutting speed has the dominant impact on the value of the slip coefficient. The dependencies for the transformation coefficient of the sharpening angle of the disc knife have been determined and its change character have been analysed. The research has shown that the change of sharpening angle of the disc knife has minimal impact on the change of transformation coefficient.

Keywords: planetary gearset, disc knife, speed, cutting, cutting angle, drove, book block, slip coefficient.

doi: 10.32403/0554-4866-2021-1-81-62-71


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