基于地基反力与沉降非线性关系的地基梁研究

基于实验测量的地基反力与地基梁沉降关系数据,分别将地基和梁之间的作用力与梁的挠度拟合成线性关系和三次多项式关系,推导出非线性弹性地基梁的有限差分法基本理论方程式,并用MATLAB软件编程解出数值解。算例计算对非线性弹性地基梁和经典线弹性Winkler地基梁的挠度、转角、剪力和弯矩结果进行了对比,结果表明二者的相对误差可达到10%~30%,因此在实际工程中应尽量考虑地基反力与沉降的非线性关系。

Study on Beams of Non-linear Relationship of Foundation Counterforce and Settlement

Based on the measured relationship data between foundation counterforce and beam settlement, the counter force is fitted as a cubic polynomi-al about the deflection of beams by experimental data,and the corresponding control equations are derived. The finite different method is developed to obtain numerical results. Computation shows that the relative errors between non-linear and linear elastic Winkler beams can reach 10%-30%,and the non-linear foundation about settlement should be considered in engineering.