液压支架立柱挠度的因次分析与仿真研究

Research on Deflection of Hydraulic Support Props Based on Dimensional Analysis and Simulation

以液压支架立柱挠度为对象,联合运用因次分析技术与流固耦合数值仿真技术对其进行研究。首先,通过因次分析推导出立柱挠度与缸体弹性模量、截面模量、计算长度、缸体内部初撑力、乳化液液体黏度和密度,以及弯矩(外载荷与偏心距的乘积)等7个因素之间的无量纲关系式。然后,选取φ230 mm、φ250 mm、φ500 mm三种缸径的双伸缩立柱,进行基于FEM和SPH的流固耦合仿真分析。将双伸缩立柱按照外径不同分解为3段,得到每一段的挠度仿真值。以各段挠度的仿真值作为已知量,通过多元线性回归分析,求解出了挠度无量纲关系式中的未知量。结果表明:立柱挠度随初撑力和截面模量增大而减小,随弯矩和计算长度的增大而增大。增大初撑力,有利于减小工作阻力波动对立柱挠度的影响。所推导出的挠度关系式亦可用于求解单伸缩和三伸缩立柱的挠度。

The Deflection of Hydraulic Support Props(DHSP)is discussed with the dimensional analysis technology and fluid-structure coupling numerical simulation technology.The dimensionless relation of DHSP and the factors of elastic modulus,section modulus,calculated length,setting load,liquid viscosity and density,moment(product of external load and eccentricity)is deduced with dimensional analysis method.Three kinds of Double Telescopic Props(DTP),which diameters areφ230、φ250、φ500,are selected,and the DHSP is simulated with FEM and SPH.In order to calculate DHSP,the DTP is divided to three parts according to external diameter.Taking the simulated deflections as known quantity,the unknown quantities in dimensionless relation is solved using multiple linear regression.Result shows that DHSP decreases with increasing section modulus and setting oad,and increases with increasing calculated length and moment.When setting load is increased,the influence of load fluctuation to DHSP will reduce.The formula can also be used to calculate the single and triple telescopic props.