Parameterized design method of improved mitered showcase corner joint
The structure of mitered showcase corner joint is complex,and when the sizes of its parts changed,the in-ternal mortise and tenon sizes should change accordingly.The variable sizes of parts make the structural design work inefficient and is not suitable for the development of digital processing of mortise and tenon.Based on the dimen-sional relationship between the tenons and mortises of mitered corner joint,it is necessary to improve the design effi-ciency of the joint structure by parametric design.The structural characteristics of Chinese type mitered corner joint and six kinds of improved mitered corner joints were analyzed,and the improved mitered corner joint that was most suitable for digital processing was selected.The part models of the selected joint were established for determining the shape of the tenon of the transverse Part a and Part b,and the longitudinal Part c,the dimension parameters of mor-tise and tenon were set,and the dimension parameters table were developed.The forms and details of the mortise and tenon should conform to the requirements of CNC machining,including the path of travel and internal rounding of the corners.Then,based on the assembly constraints,the functional relationship between the various internal di-mension parameters was established,and the driving dimensions and follower dimensions were distinguished.The width and thickness of the part,the width of the beveled shoulder and the thickness of the tenon are the driving di-mensions,and the other dimensions that can be calculated from the functional relationship are the follower dimen-sions.Based on the process constrains,the reasonable value range and values of some dimension parameters were preset.Finally,a parameter system and functional relationship table for the improved mitered showcase corner joint sizes were determined by integrating independent variables,preset parameters,fixed parameters,and dependent va-riables,completing the data architecture for parameterized design.By utilizing the dimension parameter system and function relationship table of improved mitered showcase corner joint and combining it with the operating system of CNC machining equipment,programming can be performed to automatically output other dimensional parameters after inputting tenon and mortise drive dimensions,providing a fast and convenient method for designing mitered showcase corner joint structures with various part sizes.The regular structural relationship of furniture joints can be expressed as a function relationship between the dimension parameters of the joints.Based on this,a parameterized design method for furniture joints was developed,which provides a simplified and efficient way for designing various furniture structures.