利用剪切效应原理计算双模量材料的性能参数解

来源期刊:中南大学学报(自然科学版)2014年第2期

论文作者:吴晓 杨立军 黄志刚

文章页码:609 - 615

关键词:剪切效应;双模量;材料;弯曲

Key words:shear effect; bimodulous; material; bending

摘    要:采用材料力学原理证明作用在双模量梁上的横向载荷对中性轴位置没有影响。在考虑剪切效应的基础上,建立双模量梁弯曲的微分方程,推导出双模量梁的挠曲线表达式。研究结果表明:利用三点弯曲法及四点弯曲法可方便地求出双模量材料的性能参数;该测定双模量材料的性能参数的试验方法简便可行而且精度较高,可同时测出双模量梁的弯曲刚度及剪切刚度,且能够保证弯曲刚度与剪切刚度具有相同的实验精度;该试验方法不但可以测定双模量材料的性能参数,而且可以测定复合材料的性能参数和各向同性材料的性能参数,具有较强的通 用性。

Abstract: It was proved that lateral loads acting on bimodulous beam have no effect on the position of the neutral axis. Considering the shear effect, the differential equation of bimodulous beam bending was established, and the deflection expression of bimodulous beam was deduced. The results show that performance parameters of bimodulous material can be easily obtained with three-point bending method and four-point bending method. The experimental method for the determination of bimodular materials performance parameters is simple and feasible and has high precision, which can simultaneously measure the bending mode of the beam stiffness and shear stiffness, and can ensure the bending stiffness and shear stiffness of the same precision. The performance parameters of the experimental method can not only determine bimodular materials performance parameters, but also measure composite material performance parameters and isotropic material, which shows this method has strong universality.

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