Motion Simulation Of Elbow Intersecting Line And Design Of Control System

As the increasing application of steel structure in building trades and the ascending aesthetic standards to architecture, streamline structure such as elbows that are mutually intersected are widely used when building gymnasiums, railway station, airports and so on at home and abroad. However, so many technical questions still exist when cutting elbow intersection line directly. The existing ways of cutting elbow intersection line, which are commonly applied in steel companies, are flexible methods. This kind of way is not only time-consuming but also wasting steel products and energy. For this reason, researching the discipline of cutting elbow intersection line directly and developing related cutting devices are of great meanings to decrease the waste of energy and materials.The paper firstly established mathematical model about the intersection of straight pipe and elbow. Through studying the regulation of the intersection of straight pipe and elbow and analytic geometry, the paper deduced parameter equation of the intersection line of straight pipe and elbow when vertically intersected and tipsily intersected and also simulated the parameter equation of the intersection line of straight pipe and elbow and verified it by MATLAB and3D Modeling software. When actually processing, besides cutting the elbow intersection line, welding groove is still needed to be cut, therefore, the paper used mathematical model of fixed-point groove to solve the groove vector of the elbow intersection line. And then according to the existed parameter equation and groove vector of the intersection line, the paper decomposed the motion path of the cutting torch and set up the kinematics model of the motion path of the cutting torch, and finally proposed once-forming cutting method of elbow intersection line and welding groove.Secondly, in order to insure the accuracy of cutting torch when cutting the elbow intersection line, the paper put forward a new kind of speed controlling strategy--s curve acceleration and deceleration, and based on this strategy establishing five-axis interpolation algorithm and five-axis controlling model of elbow intersection line, presenting the total design program of NC system of elbow cutting and stating the controlling function of main hardware and the design of software in detail.Finally, based on the MATLAB simulation platform, the paper simulated the speed planning, acceleration and deceleration controlling, and linkage interpolation of the five-axis machine tool processing to cutting elbow, as well as five-axis linkage interpolation controlling process of NC machine tool of elbow cutting. Indicated by the simulation result, the designed interpolation algorithm of five-axis can interpolate linearly and continuously, the curve can transit smoothly, and the design can finish the expectant path. So, the algorithm is feasible and reasonable in conclusion.This paper sets up a mathematical model of straight cylinder pipe and ring surface winding pipe, which provides several theoretical references for further study of rules of penetration between any winding pipe. According to the control strategy of five axis motion linkage adopted by the model, it’s not only save amount work time, but also greatly decrease the waste of steel, energy and other sources by cutting the intersection track and welding grooves in the winding pipe in once time. So it has a very important practical significance.