Abstract The paper presents the development of the mathematical model of joint parameters impact, during solid wood lengthening with a mini tooth, on the joint strength. Impact parameters are wood density (ρ), ratio of wood element width and thickness (b/h) and geometrical size of mini tooth expressed as ratio of length and distance between width of the tooth (l/p). This paper presents an example of how the process of joining solid wood can be optimized prior to the production process to avoid exploitation testing and increased costs of the process. Based on the obtained model (F), force optimization was performed as a function of the maximum tensile force. The results of the conducted research indicate that mathematical modelling and optimization can be successfully used to define the tensile break force and technological parameters of solid wood elements lengthened by finger joint.

中文翻译：

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指接加长实木构件拉伸断裂力建模与优化

摘要 本文介绍了在实木微齿加长过程中接头参数对接头强度影响的数学模型的发展。冲击参数是木材密度 (ρ)、木材元素宽度和厚度的比率 (b/h) 和微型齿的几何尺寸，表示为长度和齿宽之间的距离 (l/p) 的比率。本文提供了一个示例，说明如何在生产过程之前优化连接实木的过程，以避免开发测试和过程成本增加。基于获得的模型 (F)，力优化作为最大拉力的函数进行。