Format

Send to

Choose Destination
J Biomech. 1998 Jan;31(1):97-101.

Efficient calculation of mass moments of inertia for segmented homogeneous three-dimensional objects.

Author information

1
Department of Orthopaedics, Rhode Island Hospital, Brown University, Providence 02903, USA.

Abstract

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%.

PMID:
9596545
DOI:
10.1016/s0021-9290(97)00108-5
[Indexed for MEDLINE]

Supplemental Content

Full text links

Icon for Elsevier Science
Loading ...
Support Center