期刊论文

Zha, X.-D.

中文

中国公路学报

1001-7372

2003

16

1

1-5

10.19721/j.cnki.1001-7372.2003.01.001

国家自然科学基金青年基金项目 （ 5 0 2 0 80 0 4）；

本校为第一且通讯机构

根据最优化问题的极值条件，将模量反算转化为非线性映射求零点的问题，结合数值微分计算弯沉对模量的一阶和二阶偏导数，建立了基于同伦方法反算路面模量的数学模型；并采用LIYORKE算法求解微分方程初值问题跟踪同伦曲线，获得模量的反算结果，在此基础上编制了相应的模量反算程序。通过对3种路面结构的落锤式弯沉仪（FWD）的实测弯沉盆进行模量反算，并与国内外其它反算程序比较，验证了同伦方法反算结果的精度和可靠性。同时，通过选取不同初始值进行反算比较，验证了同伦方法的大范围收敛性和反算结果的稳定性。结果表明，采用同伦方法进行路面模量反算有效地解决了常规最优化算法的初始值和...

Firstly, the backcalculation of modulus is transferred into finding zero points of nonlinear maps according to extreme conditions of optimization problems. A mathematical model for backcalculation of pavement layer modulus based on the homotopy method is established with partial derivatives of the 1st- and 2nd-order for deflections to modulus computed by numerical derivative methods. Secondly, partial differential equations are solved with LT-YORKE algorithms to follow homotopy paths, and backcalculated results are obtained. A program for backcalculation of modulus is written. Thirdly, 3 measu...