非线性阻尼扭摆振动模型及在转动惯量测量中应用  

Torsional pendulum vibration model with nonlinear damping and its application in measurement of moment of inertia of large aled plate-like objects

作　　者：林洪文[1] 马强[1] 唐文彦[1] 王军[1] 张晓琳[1] 

机构地区：[1]哈尔滨工业大学,哈尔滨150001

出　　处：《振动与冲击》2014年第10期13-16,共4页Journal of Vibration and Shock

基　　金：国防工业十二五军工技术基础项目资助

摘　　要：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。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.

关 键 词：扭摆振动 转动惯量 弱非线性 

分 类 号：TH124[机械工程—机械设计及理论] TB936[一般工业技术—计量学]