摘要
为了使GM(1,1)幂模型适合于非等间隔数据建模,构建了一类新的非等间隔GM(1,1)幂模型,利用变量代换,将非等间隔GM(1,1)幂模型的白化方程化为GM(1,1)模型的线性白化方程形式,从而通过灰微分方程的正确构建,建立了非等间隔无偏GM(1,1)幂模型。将非等间隔无偏GM(1,1)幂模型应用到单桩极限承载力预测中,预测结果显示非等间隔无偏GM(1,1)模型适合于渐近极限荷载预测,非等间隔无偏GM(1,1)幂模型适合于预测按沉降控制法得到极限承载力。
To make GM （1,1） power model can be suitable for unequal-interval data modeling,a new non-equal interval GM （1,1） power model is established. Its whitenization differential equation is transformed into a linear differential equation like that of GM （1,1） model by using variable substitution. And a grey differential equation which is matched to the linear differential equation is proposed. Thus,a non-equal interval unbiased GM （1,1） power model is built. It is applied to forecast ultimate capacity of single pile,and prediction results show that non-equal interval unbiased GM （1,1） model is propitious to predict asymptotic ultimate capacity and non-equal interval unbiased GM （1,1） power model is propitious to predict ultimate capacity which is determined by settlement.
出处
《辽宁工程技术大学学报（自然科学版）》
CAS
北大核心
2010年第5期922-925,共4页
Journal of Liaoning Technical University (Natural Science)
基金
教育部留学回国人员科研启动基金资助项目([2007]1108)
