基于虚位移原理的盾构推进系统静刚度建模与灵敏性分析

STATIC STIFFNESS MODELING AND SENSITIVITY ANALYSIS OF SHIELD PROPULSION SYSTEM BASED ON VIRTUAL DISPLACEMENT PRINCIPLE

推进系统是盾构机的重要组成部分,其刚度性能将影响盾构机的掘进和转向等功能。为获得盾构推进系统有效的参数化刚度模型,以期能够准确地描述盾构推进系统静刚度在全工作空间内的变化规律,研究其静刚度建模方法。构建盾构推进系统的物理模型并进行运动和力分析,通过材料力学公式构建了盾构推进缸的刚度模型,基于虚位移原理构造机构末端各方向变形与力或力矩之间的关系,运用叠加原理得出盾构推进系统总刚度矩阵计算式,使用有限元法验证所建静刚度模型的准确性,并对其进行灵敏性分析,为盾构推进系统的结构设计优化和研究分析提供理论基础。

Propulsion system is an important part of shield machine,and its stiffness will affect the propelling and steering function.In order to obtain the effective parameterized stiffness model of shield propulsion system,and to accurately describe the static stiffness of shield propulsion system in the whole working space,the static stiffness modeling method is studied.The physical model of shield propulsion system was established and its movement and force were analyzed.The stiffness model of shield propulsion cylinder was established by material mechanics formula and the relation between deformation of the end of the mechanism in each direction and force or moment was constructed based on the principle of virtual displacement.The calculation formula of total stiffness matrix of shield propulsion system was obtained by superposition principle.The accuracy of the static stiffness model was verified by finite element method and its sensitivity was analyzed.It provides theoretical basis for structural design optimization and research analysis of shield propulsion system。