标题： 通过识别适当的剪切常数来改进从矩形棱柱的共振频率倍频计算杨氏模量的方法 显示英文标题

标题： Improved calculation of the Young's modulus of rectangular prisms from their resonant frequency overtones by identifying appropriate shear constants

摘要： 杨氏模量是表征给定材料强度以及波在其内部传播的重要参数。 本研究基于对 19 根硼硅酸盐玻璃棒的实验分析，改进了利用脉冲激励（IE）技术估算杨氏模量的方法。 针对矩形棱柱体的杨氏模量与面外和面内弯曲共振频率之间的频率方程进行了分析，研究范围包括基本频率及其高阶振动的泛音。 随后测量了三种具有不同孔隙率的燧石岩样品的杨氏模量，直至第七阶振动，以验证用于估算杨氏模量的最佳剪切常数方程。 研究发现，对于这些岩石样本，杨氏模量几乎不受频率影响。 显示英文摘要

摘要： Young's modulus is an important parameter for characterizing the strength of, and wave propagation through, a given material. This study improves the estimation of Young's modulus using the impulse excitation (IE) technique based on an experimental analysis of 19 borosilicate glass bars. Analysis of the frequency equations relating Young's modulus to the out of plane and in plane flexural resonant frequencies of rectangular prisms has been conducted for both the fundamental frequency and its overtones at higher orders of vibration. The Young's modulus of three novaculite rocks with various porosities were then measured up to the seventh order of vibration to validate the optimum shear constant equation for estimating Young's modulus. Young's modulus was found to be nearly frequency independent for these rock samples.