摘要
首先利用弹性杆理论和H am ilton变分原理建立了挖坑机钻头主轴及钻尖在工作过程中由于外激励的作用使钻尖与土壤互相作用而产生纵向振动的动力学模型,同时给出边界条件和初始条件.其次通过把系统外激励函数当作控制变量,利用Banach空间几何性质证明了此系统存在唯一最优控制元.
At first, a extensional vibration dynamic model of the auger auger axis and drill point was established under the interaction between drill point and soil in the process of digging due to the function of exterior load by taking advantage of the elastic shaft theory and the Hamilton principle. At the same time, giving the boundary condition and the original condition. Secondly, by regarding the function of the system＇s exterior load as the control variable, the existence of unique optimal control element was proved by utilizing the geometric property of Banach space.
出处
《数学的实践与认识》
CSCD
北大核心
2006年第5期105-109,共5页
Mathematics in Practice and Theory
基金
教育部博士点基金项目(20040225005)
关键词
挖坑机
钻头主轴
纵向振动
最优控制
hole digger
auger axis
extensional vibration
optimal control
