论文部分内容阅读
分析指出不同生长曲线模型在沉降预测应用中的不足,通过对灰色Verhulst模型的建模数据进行幂函数变换,利用梯形积分公式和辛普森积分公式建立新的灰微分方程以及利用模式搜索法对参数进行二次优化,建立灰色Verhulst幂函数模型,新模型不仅适用于不同类型沉降曲线预测,而且不受制于数据类型的限制。工程实例应用结果显示灰色Verhulst幂函数模型具有较高的预测精度。
The paper points out the shortcomings of different growth curve models in the application of settlement prediction. Through the power function transformation of the modeling data of gray Verhulst model, a new gray differential equation is established by using the trapezoidal integral formula and the Simpson integral formula, and the parameters are modeled by the pattern search Quadratic optimization, the gray Verhulst power function model is established. The new model is not only suitable for the prediction of different types of settlement curves, but also not limited by the data type. The application of the project example shows that the gray Verhulst power function model has higher prediction accuracy.