随机振动试验法测定钢丝绳的弹性模量

A TESTING METHOD FOR DETERMINING THE MODULUS OF ELASTICITY OF WIREROPE THROUGH RANDOM VIBRATION

运用振动理论,将钢丝绳和下挂配重简化成单自由度弹簧质量系统,利用随机振动锤击法测量系统的频率,用于计算钢丝绳的弹性模量;同时应用弹性体的纵向波动理论,推导系统的固有频率,对比两者固有频率的表达式其结果一致.随机振动试验法简单、实用,可用于测量钢丝绳的弹性模量,作为钢丝绳弹性模量测试方法的一种补充.

In this paper, a testing method to determine the modulus of elasticity of the wirerope based on random vibration is proposed. The wirerope and the hanging weight are simplified as a mass-spring of a single degree of freedom, the natural frequency of which is measured by the random vibration hammer testing method. Then the modulus of elasticity of the wirerope can be calculated according to the frequency. At the same time, the natural frequency can also be calculated by the longitudinal wave theory of elastomer, and the two natural frequency formulas give the same results. The suggested random vibration testing method is simple and accurate and can be used to test the modulus of elasticity of the wire rope.