Research On The Influencing Factors Of Horizontal Alignment Reconstruction Model Of Existing Lines

With the increase of the operating time of the existing line,its spatial geometric position will shift inevitably,so the alignment of the existing line needs to be reconstructed regularly to ensure the overall smoothness and safety of the line.However alignment reconstruction provides theoretical support for the above work.The purpose of this paper is to analyze the changing factors in the reconstruction model and to study several factors affecting the fitting of the plane reconstruction model by the method of controlling variables.Around this general goal,the main achievements and conclusions of this paper are as follows:(1)A hybrid model of plane linear reconstruction is established by taking coordinates as direct observations on transition curves and the shortest distance from point to line as indirect observations on straight lines and circular curves.And compared with the reconstruction model which only takes the coordinates as the observation value,the example shows that the hybrid model can complete the plane linear fitting reconstruction,and has higher efficiency.At the same time,the reason for the high efficiency of plane alignment reconstruction by hybrid model is analyzed.(2)the influence of equal-dimensional model and unequaldimensional model on line reconstruction is studied,and the linear reconstruction is verified by plane and profile examples.The results show that the equal-dimensional model has better fitting effect,and the equaldimensional model converges to the same optimal solution under three different algorithms,which has higher robustness,and analyzes the reason why the equal-dimensional model is due to the unequaldimensional model.(3)the effects of accurate derivation and approximate derivation on plane linear reconstruction are studied.Verified by a case,the results show that the fitting effect of the approximate solution is slightly weaker than that of the exact solution,but the convergence speed and efficiency are much better than the exact solution.(4)the effects of Lagrangian multiplier method and penalty function method on plane linear reconstruction are studied.Through a numerical example,it is concluded that the performance of the penalty function method is better than that of the Lagrange multiplier method.The thesis includes 16 pictures,35 tables and 59 references.