Mathematical models for the use, processing, and optimized utilization of natural arc‐shaped bamboo laminated lumber

Abstract

AbstractThe natural arc‐shaped bamboo laminated lumber (ABLL) maintained the natural structure of bamboo material. It had significance for its various applications in bamboo industry. This article took the thickness (T) and width (W) of the ABLL as the research object. The first mathematical model determined the relationship among the size of the bamboo tubes, the number of divisions and the thickness (T) of the ABLL. In order to avoid forming incomplete arc‐shaped bamboo corners during the process of sawing of ABLL into square lumber, we used Mathlab analysis to obtain the appropriate numbers of divisions were 4–6 parts. Moreover, the thickness (T) of ABLL was found to be 37–62 mm. The second mathematical model determined the relationship between the size of the equal‐arc shaped bamboo split and the width (W) of ABLL. The proposed mathematical models provided a grading basis for the material selection in the processing of ABLL, optimized the utilization of bamboo, and was of great significance for high‐quality preparation of ABLL.