| Forming shoulder is applied widely in vertical forming, filling and sealing machines, andis an important component in sealing machines that impacts the bags forming quality andefficiency significant. This paper studies the mechanical of streamline maintaining the balancein the bag-making process of the forming shoulder, and the forces of film material related toparameters of the forming shoulder, the establishment of forming shoulder use differentialgeometry math model in favor of mechanical analysis is the basis for the analysis aboutbag-making Process of the forming shoulder.Firstly, geometry of forming shoulder surface is developable surfaces.Generallyconsidered half of its shoulder surface formed by a single cone,and it was denoted by a singlecone forming shoulder. This text established its curved curve mathematical model withdifferential geometry with a single cone with a circular tube forming shoulder represented.And this text established the corresponding three-dimensional surface model with thethree-dimensional software for authentication to be used to guide the design and manufactureby using the transfer curve neckline mathematical equations and boundary curves.Secondly, this text expanded the number of shoulder curved cone, and summarized thedevelopment of two cone mosaic remains available to meet the constraints of usingdifferential geometry theory with three-cone circular tube forming shoulder, this text made amulti-cone forming shoulder iterative relationship between two adjacent vertices and conecollar transfer coefficient between the curve equation, the equation obtained by iterativemanner paragraphs neckline transfer curve derived mathematical equations and boundarycurves of each cone, and established the corresponding three-dimensional surface model ofthe three-dimensional software for authentication, but also on the number of conical shouldersurface tends to infinity, the situation appears curved shoulder tangent plane carried apreliminary study.Finally, based on the mathematical model of curved forming shoulder created ondifferential geometry, streamline equation was established for various parts of formingshoulder and the wrap angle of the shoulder portion of the surface streamlines was calculated.This text also established the streamlines in the transfer curve the angle between the surfacearea of the shoulder and mathematical equations streamline curvature. This text investigatedthe relationship between the tension that the material was pulled over forming shoulderrequired and friction coefficient and former streamline curvature. This text also pointed outways to improve the process of resistance, provide a theoretical basis of mechanical balance,and research for forming shoulder on the transfer curve of the material offset some theoreticalreasons, made inferences that in the absence of friction, without regard to the materialthickness and the deviation of the case, material streamline are not subject to other streamlinethe role of lateral force in the bag-making process. |