不同材料杆组成的均质三角形边框绕质心轴转动惯量  

The Rotational Inertia of a Homogeneous Triangular Frame of Different Materials Around the Centroidal Axis

作　　者：孙徐莉[1] 鲍四元[1] 

机构地区：[1]苏州科技学院土木工程学院,江苏苏州215011

出　　处：《常州工学院学报》2014年第5期14-16,共3页Journal of Changzhou Institute of Technology

摘　　要：对不同材料杆组成的均质三角形边框,利用离散质点系统的质心公式确定均质三角形边框的质心位置,并推导三角形边框绕质心轴的转动惯量公式。根据刚体对过质心轴的力矩平衡条件,给出了三角形边框质心的作图方法。已有文献的公式为本文结果的一个特例,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。By using the centroid formula of system of particles,the centroid of a homogeneous triangu-lar frame made of several materials is determined.The rotational inertia of a homogeneous triangular frame a-round its centroidal axis is derived.Based on the moment equilibrium condition around its centroidal axis of the rigid body,the drawing method about the centroid of the triangular frame is given.Some previous results become special cases of this paper and the method in use can be extended to cases of other grid-like rigid body.

关 键 词：刚体 边框 三角形 质心 转动惯量 

分 类 号：O313.3[理学—一般力学与力学基础]