2116. Coordinate Transformation of Inertias Using Tensors

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Paper

J H Nakai: 2116. Coordinate Transformation of Inertias Using Tensors. 1992.

 

Abstract

This paper provides a brief introduction to Cartesian tensor coordinate transformation theory and demonstrates the application of tensor mathematics for the coordinate transformation of mass moments of inertia and products of inertia. It presents a derivation of the tensor equations for inertia coordinate transformations and includes sample FORTRAN computer source code. This paper also presents a review of inertia analysis and tensor analysis fundamentals which it builds upon to derive the tensor equations for inertia rotations. The advantages of the tensor based approach are summarized and demonstrated in the simplicity of the resulting equations and associated computer code.

 

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