| The arrival of the National Fourteenth Five-Year Plan shows that digital technology is the general trend and has strategic significance.Following the trend of the great development of the national digital economy,the development of electrified railways has also entered the digital age.Because the traditional design process of railway overhead catenary is time-consuming and labor-intensive,in order to meet the development requirements of high-speed railway,it is necessary to innovate the traditional design method of railway overhead catenary to improve efficiency.Therefore,in order to meet the design requirements of overhead catenary for electrified railways in the new era,it is necessary to develop a means of using digital models to efficiently generate plane design drawings of overhead catenary sections.In this paper,by analyzing the components and related constraints that need to be considered in the plane design of the overhead catenary section of the electrified railway,the internal relationships of the components are converted into corresponding mathematical expressions through the spatial coordinate system combined with trigonometric functions and matrix transformation methods.On the basis of mathematical expressions,combined with mathematical software,the spatial coordinates of each point in each element are solved.Due to the numerous components of the catenary and the complex structure of each element,the pantograph model is simplified according to the requirements of the specification,and the spatial coordinates of each point of the carbon slide plate of the pantograph head and the 1/2 conductive area are obtained,which are constructed in combination with mathematical software.The digital model of the pantograph head is obtained;the digital model of the pillar is simplified by point coordinates in the plane design;the construction of the anchor segment joint mainly considers the deflection and lift of the contact line,which can be obtained by using the rotation transformation in the three-dimensional space and the parabolic equation Digital model of the anchor segment joint.Through the constructed digital model of each element,the relationship between each element in generating the plane design drawing of the catenary interval is studied.In order to obtain the amount of data required for graphic design,each element is divided into two parts for research.The first part studies the automatic arrangement of the pillars on the line,and the positioner slope,pull-out value,span,vertical force,radial force,Constraints such as limit sections are used as input,and the nominal span is obtained through calculation,and the coordinate determination is also completed through matlab and the position of the pillar is automatically adjusted to obtain a reasonable position of the pillar.The pull-out value of the branch contact line;the second part studies the design of the anchor segment joint.Under the constraints of the two contact lines of the anchor segment joint and the model of the pantograph head,the digital model of the anchor segment joint and the pantograph head Combined with the digital model,the pull-out value at the joint of the anchor segment is obtained.The obtained data is output,combined with the secondary development of Auto CAD for automatic drawing,and the graphic design drawing of the overhead catenary area based on the digital model and satisfying various constraints can be obtained,which can greatly improve the generation efficiency of graphic design drawings. |