Tait-Bryan Angles Required for Diagonalisation of a Real Symmetric (3 x 3) Rank Two Tensor

摘要

The process to define the Tait-Bryan angles required to diagonalise a real symmetric (3 X 3) rank two tensor was identified. This process is applicable to commonly encountered tensors such as inertia tensors, rank two (3 X 3) covariance tensors and quadratic coefficient tensors. Tait-Bryan angles which are any permutation of 1-2-3 rotational angles, are used to define the pitch, flap, and lead-lag angles in helicopter rotor systems. The Tait-Bryan angles differ from the more familiar Euler angles which are any permutations of 3-1-3 rotation angles.