CAJ | 학술논문

通过构造一种基于拱轴线变形能的多参数拱轴线优化方法,以处理控制参数较少的函数曲线难以使拱轴线与压力线重合的问题.该方法以加权能量函数作为优化目标,运用样条曲线逼近主拱圈压力线,并建立主拱圈位移影响矩阵来计算主拱圈的位移调整量.加权能量方法将各个单元的弯曲变形能总和作为优化目标,通过给予每个位置的单元弯曲变形能不同的加权系数来达到调整拱轴线上各点的弯矩分布的目的.算例分析说明求解的拱轴线坐标是合理的,应用平均加权和高斯加权方法可有效减少主拱圈弯矩.
통과구조일충기우공축선변형능적다삼수공축선우화방법,이처리공제삼수교소적함수곡선난이사공축선여압력선중합적문제.해방법이가권능량함수작위우화목표,운용양조곡선핍근주공권압력선,병건립주공권위이영향구진래계산주공권적위이조정량.가권능량방법장각개단원적만곡변형능총화작위우화목표,통과급여매개위치적단원만곡변형능불동적가권계수래체도조정공축선상각점적만구분포적목적.산례분석설명구해적공축선좌표시합리적,응용평균가권화고사가권방법가유효감소주공권만구.
In order to solve the problem that it is difficult to coincide arch axis with pressure line by only using the function curves which have less control parameters, a multi-parameter optimization method for arch axis based on the deformation energy of arch axis was presented. Taken the weighted energy function as the optimization objective, the method uses the spline curves to approach the pressure line of the main arch ring, and establishes the displacement influence matrix to calculate the adjustment quantity of the main arch ring. The summation of bending deformation energy of different elements was considered as the optimization objective in the weighted energy method. The distribution of the bending moment on the arch axis was adjusted by assigning different weighted coefficient to each element. The numerical example shows that the coordinate of arch axis positioned by the method is reasonable and the moment of the main arch ring can be reduced effectively by the methods of average weight coefficient and gauss weight coefficient.