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移动荷载作用下,简支桥梁横截面上弯矩的变化为二元函数Z=f(x,y),本文给出了绝对最大弯矩Zm ax的极值点x*、y*的判别方法:利用数学中的黄金分割算法搜索梁的绝对最大弯矩对应的最危险横截面位置x*;利用力学中的影响线理论判别该截面发生最大弯矩时的最危险荷载位置y*,计算该横截面的最大弯矩得到梁的绝对最大弯矩.该算法易于编写计算程序,以计算机为工具,适用于任意有限多个平行移动荷载在桥梁上移动,对于桥梁的设计计算与安全评估,有一定的实用价值.
Under the action of moving load, the change of moment on the cross-section of simply supported bridge is the binary function Z = f (x, y). In this paper, the discriminant method of extreme point x *, y * of absolute maximum moment Zm ax is given : The golden section algorithm in mathematics is used to search for the most dangerous cross-sectional position x * corresponding to the absolute maximum moment of the beam; the most dangerous load position y * at the moment of maximum bending moment is determined by the influence theory of mechanics; The maximum bending moment of the cross section obtains the absolute maximum moment of the beam.The algorithm is easy to write the calculation program, the computer as a tool, suitable for any limited number of parallel moving loads to move on the bridge, for the bridge design calculation and safety assessment, there are Certain practical value.