Based on the bridge magnetic detection principle,an equivalent magnetic circuit model of wire ropes LMA-type damage is established,and linear relationship between metal cross-sectional area with magnetic flux density of the magnetic bridge is theoretically analyzed in the paper.Based on the principle of Hall element,a magnetic bridge of magnetic induction detector is produced.Through testing under the conditions of varying cross-sectional area of metal wire,the Hall voltages are detected;a rope metal detecting cross-sectional area and the Hall voltage linear equations are established and the rope LMA-based quantitative detection of damage is achieved.%基于磁桥路检测原理,建立了钢丝绳LMA型损伤等效磁路模型,分析了钢丝绳金属截面积与磁桥路的磁感应强度之间的关系,并推导出了两者的理论方程式;基于霍尔元件的霍尔效应原理,制作了磁桥路的磁感应强度检测器,通过试验,获得了不同钢丝绳金属截面积（即不同损伤）条件下的霍尔检测电压,由此,建立了钢丝绳金属截面积与霍尔检测电压的线性方程式,实现了钢丝绳LMA型损伤的定量检测.
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