常州工学院学报
常州工學院學報
상주공학원학보
Journal of Changzhou Institute of Technology
2015年
4期
1-5
,共5页
刚体%边框%四边形%质心%转动惯量
剛體%邊框%四邊形%質心%轉動慣量
강체%변광%사변형%질심%전동관량
rigid body%frame%quadrilateral%centroid%rotation inertia
对不同材料杆组成的均质四边形边框，利用离散质点系统的质心公式确定均质四边形边框的质心位置。基于平行轴定理推导四边形边框绕质心轴的转动惯量公式。转动惯量的解析公式用四边形的4条边长、对角线长和对边夹角表示。已有文献的一些公式成为本文结果的特例，所用方法可进一步推广到求解其他边框图形绕质心轴的转动惯量。
對不同材料桿組成的均質四邊形邊框，利用離散質點繫統的質心公式確定均質四邊形邊框的質心位置。基于平行軸定理推導四邊形邊框繞質心軸的轉動慣量公式。轉動慣量的解析公式用四邊形的4條邊長、對角線長和對邊夾角錶示。已有文獻的一些公式成為本文結果的特例，所用方法可進一步推廣到求解其他邊框圖形繞質心軸的轉動慣量。
대불동재료간조성적균질사변형변광，이용리산질점계통적질심공식학정균질사변형변광적질심위치。기우평행축정리추도사변형변광요질심축적전동관량공식。전동관량적해석공식용사변형적4조변장、대각선장화대변협각표시。이유문헌적일사공식성위본문결과적특례，소용방법가진일보추엄도구해기타변광도형요질심축적전동관량。
By using the centroid formula of system of particles,the centroid of an arbitrary rigid quadri-lateral frame made up of several materials is determined.Based on the parallel axis theorem,the rotation iner-tia of a rigid quadrilateral frame round its mass center axis is derived.The moment inertia of the rigid body is expressed by the edge length,the diagonal length,and the angle between the opposite sides of the quadrilater-al frame.Some results in available literature have become the special cases of findings in this paper.The method in use can be further used in cases of other grid-like rigid bodies.
