The Young’s modulus in the longitudinal direction of a Sitka spruce specimen was determined by conducting free-free flexural vibration tests based on Euler–Bernoulli’s and Timoshenko’s vibration theories. Comparing the Young’s moduli obtained considering these theories, an equation to calculate the Young’s modulus by considering only the fundamental frequency was formulated by modifying the equation derived from the Euler–Bernoulli’s theory. The modification was conducted with the consideration that the modified equation was applicable to various wood species with a wide range of length/depth ratio. Additionally, the accuracy of the proposed equation was examined using a statistical method for comparing the Young’s moduli obtained considering the aforementioned theories. Using the proposed equation, accurate Young’s moduli could be determined considering only the fundamental frequency, with a reduced influence of the length/depth ratio. The statistical analysis results indicated that the proposed equation can effectively yield accurate Young’s moduli for various wood species with a wide range of length/depth ratio.

Sitka 云杉试样纵向的杨氏模量是通过基于 Euler-Bernoulli 和 Timoshenko 振动理论的自由弯曲振动测试确定的。比较考虑这些理论获得的杨氏模量，通过修改从欧拉-伯努利理论导出的方程，制定了一个仅考虑基频来计算杨氏模量的方程。进行修改是考虑到修改后的公式适用于各种长度/深度比范围广泛的木材种类。此外，使用统计方法检查了所提出方程的准确性，以比较考虑上述理论获得的杨氏模量。使用建议的方程，可以仅考虑基频来确定准确的杨氏模量，并减少长度/深度比的影响。统计分析结果表明，所提出的方程可以有效地为各种长度/深度比范围广泛的木材物种产生准确的杨氏模量。