Efficient calculation of mass moments of inertia for segmented homogenous three-dimensional objects
Efficient calculation of mass moments of inertia for segmented homogenous three-dimensional objects
复制标题
DOI：
10.1016/s0021-9290(97)00108-5
复制
发表时间：
1998-01-01
影响因子：
2.4
通讯作者：
McGovern, RD
中科院分区：
文献类型：
--
作者：
Crisco, JJ;McGovern, RD
用格林定理推导了三维物体的体积、质心和质量转动惯量的方程。假设物体是均匀的，并将其描述为一堆二维截面。鉴于这些假设，与用于三维离散对象的经典质量元素求和技术相比，我们使用格林定理的方法显着减少了数据操作和计算。虽然影响精度的因素很多，但我们选择在两个方向上评估两个有代表性的物体，以确定二维截面的数量对计算精度的影响。对于这些形状，每个物体需要15个横截面才能使相对误差低于1%。1998爱思唯尔科学有限公司版权所有。
The equations for the volume, centroid, and mass moments of inertia of a three-dimensional object are derived using Green's theorem. The object is assumed to be homogeneous and described as a stack of two-dimensional cross-sections. Given these assumptions, our approach using Green's theorem dramatically decreases data manipulation and computation as compared to the classical mass element summation technique employed for three-dimensional discrete objects. Although numerous factors influence accuracy, we chose to evaluate two representative objects in two orientations to determine the influence of the number of two-dimensional cross-sections on the accuracy of the calculations. For these shapes, 15 cross-sections per object were required to achieve relative error below 1%. (C) 1998 Elsevier Science Ltd. All right reserved.