CAJ | 학술논문

为减小传统扭摆振动数学模型在大尺寸板状物体转动惯量测量中的误差，建立扭摆振动一般形式的非线性数学模型，利用弱非线性条件下平均值方法将其线性化获得扭摆振动线性化方程。导出转动惯量新的数学表达式并计算转动惯量，其结果的重复性误差减小、精度提高，实现转动惯量的精确测量。
위감소전통뉴파진동수학모형재대척촌판상물체전동관량측량중적오차，건립뉴파진동일반형식적비선성수학모형，이용약비선성조건하평균치방법장기선성화획득뉴파진동선성화방정。도출전동관량신적수학표체식병계산전동관량，기결과적중복성오차감소、정도제고，실현전동관량적정학측량。
Here,a general nonlinear mathematical model of torsional pendulum vibration was built to reduce the error of the traditional torsional pendulum vibration model in measuring moment of inertia for large scaled plate-like objects.The average value method under a weak nonlinear damping condition was adopted to linearize the nonlinear model to get a linear equation of torsional pendulum vibration.The new mathematical expression for the moment of inertia to be measured was deduced and calculated.The results obtained with the new model showed higher repeatability and accuracy in measurement of moment of inertia of large scaled plate-liked objects.