Abstract

Glue tenon joints are widely used in wood products. The face pressing method of the tenon joint elements is an economical alternative to traditional milling. The industrial implementation of the new method requires a reasonable choice of process operating parameters that ensure high quality processing with minimal resource costs. This multicriteria problem belongs to the field of operations research and is solved by mathematical modeling methods. The goal of the work is to determine the rational values of the parameters of the end face pressing process of rectangular eyes in blanks from wood of typical species: coniferous (pine), broad-leaved diffuse-porous (birch), leaf ring-porous (oak). The development of the objective function for the optimization procedure was carried out on the basis of the principle of fair compromise with the reduction of particular criteria to dimensionless form. To construct the objective function, we used regression models that describe the output parameters of the process: the pressing force, the hardness of eye bottoms, and the depth of the deformed zone. The search for solutions to optimization problems was performed using the generalized reduced gradient method in the Microsoft Excel software package. The rational values of the input parameters (moisture content, depth and width of the eyes) and the expected values of the output parameters for each of the studied species have been determined. Recommended moisture values for blanks from pine wood are 8%, birch - 9.5%, oak - 7%; the depth of the pressed eyes is 11, 8 and 9 mm, respectively, the width of the eyes is 4 mm. The objective function has the potential in the direction of reducing the width of the eyes, which can be used to improve the strength characteristics of adhesive joints on multiple extruded spikes.

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